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References

Published online by Cambridge University Press:  05 June 2014

Ahmed A. Shabana
Ahmed A. Shabana
Affiliation:
University of Illinois, Chicago
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Dynamics of Multibody Systems , pp. 365 - 378
Publisher: Cambridge University Press
Print publication year: 2013

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References

Abbas, L.K., X., Rui, and Z.S., Hammoudi. 2010. Plate/shell element of variable thickness based on the absolute nodal coordinate formulation. IMechE Journal of Multibody Dynamics 224, partK:127–141.Google Scholar
Agrawal, O.P., and A.A., Shabana. 1985. Dynamic analysis of multibody systems using component modes. Comput. Struct. 21, no. 6:1301–1312.CrossRefGoogle Scholar
Agrawal, O.P.. 1986. Application of deformable body mean axis to flexible multibody dynamics. Comput. Methods Appl. Mech. Eng. 56:217–245.CrossRefGoogle Scholar
Ambrosio, J.A.C., and M.S., Pereira. 1994. Flexibility in multibody dynamics with applications to crashworthiness. In Computer-aided analysis of rigid and flexible mechanical systems, ed. M.S., Pereira and J.A.C., Ambrosio, 199–232. Dordrecht: Kluwer Academic Publishers.Google Scholar
Ambrosio, J., and J. Goncalves. 2001. Complex flexible multibody systems with application to vehicle dynamics. Multibody Syst. Dynam. 6, no. 2:163–182.CrossRef
Ambrósio, J., and M., Kleiber, eds. 2001. Computational aspects of nonlinear systems with large rigid body motion. Amsterdam: IOS Amsterdam.
Anderson, K. 1997. Parallel O(log2 N) algorithm for the motion simulation of general multi-rigid-body mechanical systems. Proceedings of the 16th Biennial ASME Conference on Mechanical Vibration and Noise, September 14-17, 1997, Sacramento, Calif.Google Scholar
Anderson, K.S., and S.Z., Duan. 2000. Highly parallel algorithm for the motion simulation of complex multi-rigid-body mechanical systems. AIAA J. Guidance, Control and Dynamics 23, no. 2:355–364.CrossRefGoogle Scholar
Anderson, K.S., and Y.H., Hsu. 2004. Order-(n+m) direct differentiation determination of design sensitivity for constrained multibody dynamic systems. Structural and Multidisci-plinary Optim. 26, no. 3-1:171–182.Google Scholar
Argyris, J. 1982. An excursion into large rotations. Comput. Methods Appl. Mech. Eng. 32:85–155.CrossRefGoogle Scholar
Ashley, H. 1967. Observations on the dynamic behavior of large flexible bodies in orbit. AIAA J. 5, no. 3:460–469.CrossRefGoogle Scholar
Atkinson, K.E. 1978. An introduction to numerical analysis. New York: Wiley.Google Scholar
Avello, A., J. Garcia, de Jalon, and E., Bayo. 1991. Dynamics of flexible multibody systems using Cartesian co-ordinates and large displacement theory. Int. J. Numer. Methods Eng. 32, no. 8:1543–1564.CrossRefGoogle Scholar
Bae, D.S., J.M., Han, J.H., Choi, and S.M., Yang. 2001. A generalized recursive formulation for constrained flexible multibody dynamics. Int. J. Numer. Methods Eng. 50, no. 8: 1841–1859.CrossRefGoogle Scholar
Bahar, L. Y. 1970. Direct determination of finite rotation operators. J. Franklin Inst. 289, no. 5:401–404.CrossRefGoogle Scholar
Bahgat, B., and K.D., Willmert. 1973. Finite element vibration analysis of planar mechanisms. Mech. Machine Theory 8:497–516.Google Scholar
Bakr, E.M., and A.A., Shabana. 1986. Geometrically nonlinear analysis of multibody systems. Comput. Struct. 23, no. 6:739–751.CrossRefGoogle Scholar
Bakr, E.M.. 1987. Timoshenko beams and flexible multibody system dynamics. Sound and Vibration 116, no. 1:89–107.CrossRefGoogle Scholar
Bathe, K.J., E., Ramm, and E.L., Wilson. 1975. Finite element formulations for large deformation dynamic analysis. Int. J. Numer. Methods Eng. 9:353–386.CrossRefGoogle Scholar
Bauchau, O.A. 1997. Computational schemes for nonlinear elastic multibody systems. Proceedings of the 16th Biennial Conference on Mechanical Vibration and Noise, September 14-17, 1997, Sacramento, Calif.Google Scholar
Bauchau, O.A., G., Damilano, and N.J., Theron. 1995. Numerical integration of nonlinear elastic multibody systems. Int. J. Numer. Methods Eng. 38:2727–2751.CrossRefGoogle Scholar
Baumgarte, J. 1972. Stabilization of constraints and integrals of motion in dynamical systems. Comput. Methods Appl. Mech. Eng. 1:1–16.CrossRefGoogle Scholar
Bayazitoglu, Y.O., and M.A., Chace. 1973. Methods for automated dynamic analysis of discrete mechanical systems. ASME J. Appl. Mech. 40:809–811.CrossRefGoogle Scholar
Bayo, E., and R., Ledesma. 1996. Augmented Lagrangian and mass-orthogonal projection methods for constrained multibody dynamics. Nonlinear Dynamics 9:113–130.CrossRefGoogle Scholar
Bayo, E., and H., Moulin. 1989. An efficient computation of the inverse dynamics of flexible manipulators in the time domain. IEEE Robotics and Automation Conference, pp. 710–715.Google Scholar
Belytschko, T., and L.W., Glaum. 1979. Applications of higher order corotational stretch theories to nonlinear finite element analysis. Comput. Struct. 1:175–182.Google Scholar
Belytschko, T., and B.J., Hsieh. 1973. Nonlinear transient finite element analysis with convected coordinates. Int. J. Numer. Methods Eng. 7:255–271.CrossRefGoogle Scholar
Belytschko, T., and L., Schwer. 1977. Large displacement transient analysis of space frames. Int. J. Numer. Methods Eng. 11:65–84.CrossRefGoogle Scholar
Benson, D.J., and J.D., Hallquist. 1986. A simple rigid body algorithm for structural dynamics programs. Int. J. Numerical Methods Eng. 22:723–749.CrossRefGoogle Scholar
Berzeri, M., and A. A., Shabana. 2000. Development of simple models for the elastic forces in the absolute nodal co-ordinate formulation. J. Sound Vibration 235, no. 4:539–565.CrossRefGoogle Scholar
Berzeri, M., M., Campanelli, and A.A., Shabana. 2001. Definition of the elastic forces in the finite-element absolute nodal coordinate formulation and the floating frame of reference formulation. Multibody Syst. Dynam. 5, no. 1:21–54.CrossRefGoogle Scholar
Berzeri, M., and A.A., Shabana. 2002. Study of the centrifugal stiffening effect using the finite element absolute nodal coordinate formulation. Multibody Syst. Dynam. 7, no. 4:357–387.CrossRefGoogle Scholar
Bodley, C.S., A.D., Devers, A.C., Park, and H.P., Frisch. 1978. A digital computer program for the dynamic interaction simulation of controls and structure (DISCOS). Vol. I, NASA Technical Paper 1219.Google Scholar
Boland, P., J.C., Samin, and P.Y., Willems. 1974. Stability analysis of interconnected deformable bodies in a topological tree. AIAA J. 12, no. 8:1025–1030.CrossRefGoogle Scholar
Boland, P.. 1975. Stability analysis of interconnected deformable bodies with closed loop configuration. AIAA J. 13, no. 7:864–867.Google Scholar
Book, W.J. 1979. Analysis of massless elastic chains with servo controlled joints. ASME J. Dynamic Syst. Meas. Control 101:187–192.CrossRefGoogle Scholar
Book, W.J.. 1984. Recursive Lagrangian dynamics of flexible manipulator arms. Int. J. Robotic Res. 3:87–101.CrossRefGoogle Scholar
Boresi, A.P., and P.P., Lynn. 1974. Elasticity in engineering mechanics. Englewood Cliffs, N.J.: Prentice-Hall.Google Scholar
Braccesi, C., and Cianetti, . 2004. Development of selection methodologies and procedures of the modal set for the generation of flexible body models for multi-body simulation. IMeche J. Multibody Dynam. 218, no. K1:19–30.Google Scholar
Braccesi, C., L., Landi, and Scaletta, . 2004. New dual meshless flexible body methodology for multi-body dynamics: Simulation of generalized moving loads, IMeche J. Multibody Dynam. 218, no. K1:51–62.Google Scholar
Campanelli, M., M., Berzeri, and A.A., Shabana. 2000. Performance of the incremental and non-incremental finite element formulations in flexible multibody problems. ASME J. Mech. Design 122, no. 4:498–507.CrossRefGoogle Scholar
Canavin, J.R., and P.W., Likins. 1977. Floating reference frames for flexible spacecrafts. J. Spacecraft 14, no. 12:724–732.CrossRefGoogle Scholar
Cardona, A., and M. Geradin. 1991. Modeling of superelements in mechanism analysis. Int. J. Numer. Methods Eng. 32, no. 8:1565–1594.CrossRefGoogle Scholar
Carnahan, B., H.A., Luther, and J.O., Wilkes. 1969. Applied numerical method, New York: Wiley.Google Scholar
Cavin, R.K., and A.R., Dusto. 1977. Hamilton's principle: Finite element methods and flexible body dynamics. AIAA J. 15, no. 2:1684–1690.Google Scholar
Cavin, R.K., J.W., Howze, and C., Thisayakorn. 1976. Eigenvalue properties of structural mean-axis systems. J. Aircraft 13:382–384.Google Scholar
Chace, M.A. 1967. Analysis of time-dependence of multi-freedom mechanical systems in relative coordinates. ASME J. Eng. Industry 89:119–125.CrossRefGoogle Scholar
Chace, M.A., and Y.O., Bayazitoglu. 1971. Development and application of a generalized D'Alembert force for multifreedom mechanical systems. ASME J. Eng. Industry 93:317–327.CrossRefGoogle Scholar
Changizi, K., and A.A., Shabana. 1988. A recursive formulation for the dynamic analysis of open loop deformable multibody systems. ASME J. Appl. Mech. 55:687–693.CrossRefGoogle Scholar
Chedmail, P., Y., Aoustin, and C., Chevallereau. 1991. Modeling and control of flexible robots. Int. J. Numer. Methods Eng. 32, no. 8:1595–1620.CrossRefGoogle Scholar
Chu, S.C., and K.C., Pan. 1975. Dynamic response of a high-speed slider crank mechanism with an elastic connecting rod. ASME J. Eng. Industry 92:542–550.Google Scholar
Clough, R.W., and J., Penzien. 1975. Dynamics of structures.New York: McGraw-Hill.Google Scholar
Cook, R.D. 1981. Concepts and applications of finite element analysis, 2nd ed. New York: Wiley.Google Scholar
Craig, J.J. 1986. Introduction to robotics: Mechanics and control. Reading, Mass.: Addison-Wesley.Google Scholar
Craig, R.R., and M.C., Bampton. 1968. Coupling of substructures for dynamic analysis. AIAA J. 6, no. 7:1313–1319.Google Scholar
Critchley, J.H., and K.S., Anderson. 2003. A generalized recursive coordinate reduction method for multibody systems dynamics, J. Multiscale Comput. Eng. 1, no. 2:181–199.CrossRefGoogle Scholar
Cuadrado, J., R., Gutierrez, M.A., Naya, and M., Gonzalez. 2004. Experimental validation of a flexible MBS dynamic formulation through comparison between measured and calculated stresses on a prototype car. Multibody Syst. Dynam. 11, no. 2:147–166.CrossRefGoogle Scholar
Cuadrado, J., R., Gutierrez, M.A., Naya, and P., Morer. 2004. A comparison in terms of accuracy and efficiency between a MBS dynamic formulation with stress analysis and non-linear FEA code. Int. J. Numer. Methods Eng. 51, no. 9:1033–1052.Google Scholar
Denavit, J., and R.S., Hartenberg. 1955. A kinematic notation for lower-pair mechanisms based on matrices. ASME J. Appl. Mech. 2, no. 2:215–221.Google Scholar
De Veubeke, B.F. 1976. The dynamics of flexible bodies. Int. J. Eng. Sci. 14:895–913.CrossRefGoogle Scholar
Devloo, P., M., Geradin, and R., Fleury. 2000. A corotational formulation for the simulation of flexible mechanisms. Multibody Syst. Dynam. 4:267–295.CrossRefGoogle Scholar
Dmitrochenko, O.N., and D.Y., Pogorelov. 2003. Generalization of plate finite elements for absolute nodal coordinate formulation. Multibody Syst. Dynam. 10, no. 1:17–13.CrossRefGoogle Scholar
Dufva, K., K., Kerkkanen, L.G., Maqueda, and A.A., Shabana. 2007. Nonlinear dynamics of three-dimensional belt drives using the finite element method. Nonlinear Dynamics 48:449–466.CrossRefGoogle Scholar
Dufva, K., and A.A., Shabana. 2005. Analysis of thin plate structures using the absolute nodal coordinate formulation. IMechE Journal of Multi-Body Dynamics 219, no. 4: 345–355.Google Scholar
Dufva, K.E., J.T., Sopanen, and A.M., Mikkola. 2005. A two-dimensional shear deformable beam element based on the absolute nodal coordinate formulation. Sound and Vibration 280:719–738.CrossRefGoogle Scholar
Eberhard, P., and F. Dignath. 2000. Control optimization of multibody systems using point- and piecewise defined criteria, Eng. Optim. 32:417–438.CrossRefGoogle Scholar
Eberhard, P., and W., Schiehlen. 1998. Hierarchical modeling in multibody dynamics. Arch. Appl. Mech. 68:237–246.CrossRefGoogle Scholar
Eberhard, P., and Schiehlen, W., 2005. “Computational Dynamics of Multibody Systems: History, Formalisms, and Applications”, ASME Journal of Computational and Nonlinear Dynamics, Vol. 1(1), pp. 3–12, doi:10.1115/1.1961875.Google Scholar
Erdman, A.G., and G.N., Sandor. 1972. Kineto-elastodynamics: A review of the state of the art and trends. Mech. Machine Theory 7:19–33.CrossRefGoogle Scholar
Escalona, J.L., H.A., Hussien, and A.A., Shabana. 1997. Application of the absolute nodal coordinate formulation to multibody system dynamics. Technical Report MBS97-1-UIC, Department of Mechanical Engineering, University of Illinois at Chicago, May 1997.Google Scholar
Escalona, J.L., H.A., Hussien, and A.A., Shabana. 1998. Application of the absolute nodal co-ordinate formulation to multibody system dynamics. J. Sound Vibration 214, no. 5: 833–851.CrossRefGoogle Scholar
Fisette, P., J.C., Samin, and P.Y., Willems. 1991. Contribution to symbolic analysis of deformable multibody systems. Int. J. Numer. Methods Eng. 32, no. 8:1621–1636.CrossRefGoogle Scholar
Flanagan, D.P., and L.M., Taylor. 1987. An accurate numerical algorithm for stress integration with finite rotations. Comput. Methods Appl. Mech. Eng. 62:305–320.CrossRefGoogle Scholar
Friberg, O. 1991. A method for selecting deformation modes in flexible multibody dynamics. Int. J. Numer. Methods Eng. 32, no. 8:1637–1656.CrossRefGoogle Scholar
Frisch, H.P. 1974. A vector dyadic development of the equations of motion for n-coupled flexible bodies and point masses. NASA TN D-7767.Google Scholar
Garcia de Jalon, J., and E., Bayo. 1993. Kinematic and dynamic simulation of multibody systems: The real time challenge. New York: Springer-Verlag.Google Scholar
Garcia de Jalon, J., M.A., Serna, F., Viadero, and J., Flaquer. 1982. A simple numerical method for the kinematic analysis of spatial mechanisms. ASME J. Mech. Des. 104:78–82.CrossRefGoogle Scholar
Garcia de Jalon, J., J., Unda, and A., Avello. 1988. Natural coordinates for the computer analysis of multibody systems. Comput. Methods Appl. Mech. Eng. 56:309–327.Google Scholar
Garcia de Jalon, J., J., Cuadrado, A., Avello, and J.M., Jimenez. 1994. Kinematic and dynamic simulation of rigid and flexible systems with fully Cartesian coordinates. In Computer-aided analysis of rigid and flexible mechanical systems, ed. M.S., Pereira and J.A.C., Ambrosio, 285–324. Dordrecht: Kluwer Academic Publishers.Google Scholar
Garcia-Vallejo, D., J.L., Escalona, J., Mayo, and J., Dominguez. 2003. Describing rigid-flexible multibody systems using absolute coordinates. Nonlinear Dynam. 34, no. 1–2:75–94.CrossRefGoogle Scholar
Garcia-Vallejo, D., J., Mayo, and J.L., Escalona. 2008. Three-dimensional formulation of rigid-flexible multibody systems with flexible beam elements. Multibody System Dynamics 20, no. 1:1–28.CrossRefGoogle Scholar
Garcia-Vallejo, D., J., Mayo, J.L., Escalona, and J., Dominguez. 2004. Efficient evaluation of the elastic forces and the Jacobian in the absolute nodal coordinate formulation. Nonlinear Dynam. 35, no. 4:313–329.CrossRefGoogle Scholar
Gelfand, I.M., and S.V., Fomin. 1963. Calculus of variations.Englewood Cliffs, N.J.: Prentice-Hall.Google Scholar
Geradin, M., A., Cardona, D.B., Doan, and J., Duysens. 1994. Finite element modeling concepts in multibody dynamics. In Computer-aided analysis of rigid and flexible mechanical systems, ed. M.S., Pereira and J.A.C., Ambrosio, 233–284. Dordrecht: Kluwer Academic Publishers.Google Scholar
Geradin, M., and A., Cardona. 2001. Flexible multibody dynamics-Afinite element approach. New York: Wiley.Google Scholar
Gere, J.M., and W., Weaver. 1965. Analysis of framed structures. New York: D. Van Nostrand.Google Scholar
Gerstmayr, J. 2003. Strain tensors in the absolute nodal coordinate and the floating frame of reference formulation. Nonlinear Dynam. 34, no. 1-2:133–145.CrossRefGoogle Scholar
Gerstmayr, J., and H., Irschik. 2008. On the correct representation of bending and axial deformation in the absolute nodal coordinate formulation with an elastic line approach. Journal of Sound and Vibration 318, no. 3:461–487.CrossRefGoogle Scholar
Gh Munteanu, M., P., Ray, and G., Gogu. 2004. Study of the natural frequencies for two- and three-dimensional curved beams under rotational movement. IMeche J. Multibody Dynam. 218, no. K1:9–18.Google Scholar
Gofron, M. 1995. Driving elastic forces in flexible multibody systems. Ph.D. dissertation, University of Illinois at Chicago.Google Scholar
Gonthier, Y., J., McPhee, J.-C., Piedboeuf, and C., Lange. 2004. A regularized contact model with asymmetric damping and dwell-time dependent friction. Multibody Syst. Dynam. 11:209–233.CrossRefGoogle Scholar
Goldstein, H. 1950. Classical mechanics.Reading, Mass.: Addison-Wesley.Google Scholar
Goudas, I., I., Stavrakis, and S., Natsiavas. 2004. Dynamics of slider-crank mechanism with flexible supports and non-ideal forcing. Nonlinear Dynam. 35, no. 3:205–227.CrossRefGoogle Scholar
Greenberg, M.D. 1978. Foundation of applied mathematics. Englewood Cliffs, N.J.: Prentice-Hall.Google Scholar
Gupta, G.K. 1974. Dynamic analysis of multi-rigid-body systems. ASME J. Eng. Industry 9:809–811.Google Scholar
Hamed, A.M., A.A., Shabana, P., Jayakumar, and M.D., Letherwood. 2011. Non-structural geometric discontinuities in finite element/multibody system analysis. Nonlinear Dynamics 66:809–824.CrossRefGoogle Scholar
Hegazy, S., H., Rahnejat, and K., Hussain. 1999. Multi-body dynamics in full-vehicle handling analysis. Proc. Inst. Mech. Engrs. Part K J. Multi-body Dynam. 213, no. 1:19–31.Google Scholar
Hermle, M., and P., Eberhard. 2000. Control and parameter optimization of flexible robots. Mech. Structures and Machines 28, no. 2&3:137–168.CrossRefGoogle Scholar
Hiller, M., and C., Woernle. 1984. A unified representation of spatial displacements. Mech. Machine Theory 19(6):477–486.CrossRefGoogle Scholar
Ho, J.Y.L. 1977. Direct path method for flexible multibody spacecraft dynamics. J. Spacecraft Rockets 14:102–110.CrossRefGoogle Scholar
Ho, J.Y.L., and D.R., Herber. 1985. Development of dynamics and control simulation of large flexible space systems. J. Guidance Control Dynam. 8:374–383.CrossRefGoogle Scholar
Hollerbach, J.M. 1980. A recursive Lagrangian formulation of manipulator dynamics and a comparative study of dynamics formulation complexity. IEEE Trans. Systems Man Cybernet. SMC-10, no. 11:730–736.Google Scholar
Hooker, W.W. 1975. Equations of motion of interconnected rigid and elastic bodies. Celest. Mech. 11, no. 3:337–359.CrossRefGoogle Scholar
Hu, B., P., Eberhard, and W., Schiehlen. 2003. Comparison of analytical and experimental results for longitudinal impacts on elastic rods. J. Vibration and Control 9, no. 1:157–174.CrossRefGoogle Scholar
Hu, B., and W., Schiehlen. 2003. Multi-time scale simulation for impact systems: From wave propagation to rigid-body motion. Arch. Appl. Mech. 72, nos. 11-12:885–898.Google Scholar
Hughes, P.C. 1979. Dynamics of chain of flexible bodies. J. Astronaut. Sci. 27, no. 4:359–380.Google Scholar
Hughes, T.J.R., and J., Winget. 1980. Finite rotation effects in numerical integration of rate constitutive equations arising in large deformation analysis. Int. J. Numer. Methods Eng. 15, no. 12:1862–1867.CrossRefGoogle Scholar
Hussein, B., Negrut, D., and Shabana, A.A. 2008. “Implicit and explicit integration in the solution of the absolute nodal coordinate differential/algebraic equations”, Nonlinear Dynamics, Vol. 54(4), pp. 283–296.CrossRefGoogle Scholar
Huston, R.L. 1981. Multi-body dynamics including the effect of flexibility and compliance. Comput. Struct. 14:443–451.CrossRefGoogle Scholar
Huston, R.L.. 1990. Multibody dynamics. Boston: Butterworth-Heinemann.Google Scholar
Huston, R.L.. 1991. Computer methods in flexible multibody dynamics. Int. J. Numer. Methods Eng. 32, no. 8:1657–1668.CrossRefGoogle Scholar
Huston, R.L., and Y., Wang. 1994. Flexibility effects in multibody systems. In Computer-aided analysis of rigid and flexible mechanical systems, ed. M.S., Pereira and J.A.C., Ambrosio, 351–376. Dordrecht: Kluwer Academic Publishers.Google Scholar
Iwai, R., and N., Kobayashi. 2003. A new flexible multibody beam element based on the absolute nodal coordinate formulation using the global shape function and the analytical mode shape function. Nonlinear Dynam. 34, no. 1-2:207–232.CrossRefGoogle Scholar
Jerkovsky, W. 1978. The structure of multibody dynamics equations. J. Guidance Control 1, no. 3:173–182.CrossRefGoogle Scholar
Junkins, J.L., and Y., Kim. 1993. Introduction to dynamics and control of flexible structures. Washington, D.C.: AIAA Education Series.CrossRefGoogle Scholar
Kane, T.R., and D.A., Levinson. 1983. Multibody dynamics. ASME J. Appl. Mech. 50:1071–1078.CrossRefGoogle Scholar
Kane, T.R.. 1985. Dynamics: Theory and applications. New York: McGraw-Hill.Google Scholar
Kane, T.R., R.R., Ryan, and A.K., Banerjee. 1987. Dynamics of a cantilever beam attached to amovingbase. AIAA J. Guidance Control and Dynam. 10, no. 2:139–151.Google Scholar
Kerkkanen, K.S., D., Garcia-Vallejo, and A.M., Mikkola. 2006. Modeling of belt-drives using a large deformation finite element formulation. Nonlinear Dynamics 43:239–256.CrossRefGoogle Scholar
Kolsky, H., 1963. Stress waves in solids. New York: Dover.Google Scholar
Khulief, Y.A., and A.A., Shabana. 1986a. Dynamic analysis of constrained systems of rigid and flexible bodies with intermittent motion. ASME J. Mech. Transmissions Automation Design. 108, no. 1:38–45.CrossRefGoogle Scholar
Khulief, Y.A.. 1986b. Dynamics of multibody systems with variable kinematic structure. ASME J. Mech. Transmissions Automation Design 108, no. 2:167–175.CrossRefGoogle Scholar
Khulief, Y.A.. 1987. A continuous force model for the impact analysis of flexible multibody systems. Mech. Machine Theory 22, no. 3:213–224.CrossRefGoogle Scholar
Kim, S.S., and M.J., Vanderploeg. 1985. QR decomposition for state space representation of constrained mechanical dynamic systems. ASME J. Mech. Transmissions Automation Design 108:183–188.Google Scholar
Kim, S.S.. 1986. A general and efficient method for dynamic analysis of mechanical systems using velocity transformation. ASME J. Mech. Transmissions Automation Design 108, no. 2:176–192.CrossRefGoogle Scholar
Klumpp, A.R. 1976. Singularity-free extraction of a quaternion from a direction cosine matrix. J. Spacecraft Rockets 13, no. 12:754–755.CrossRefGoogle Scholar
Koppens, W.P. 1989. The dynamics of systems of deformable bodies. Ph.D. dissertation, Technical University of Eindhoven, The Netherlands.Google Scholar
Kubler, L., P., Eberhard, and J., Geisler. 2003. Flexible multibody systems with large deformations and nonlinear structural damping using absolute nodal coordinates. Nonlinear Dynam. 34, no. 1–2:31–52.CrossRefGoogle Scholar
Kubler, R., and W., Schiehlen. 2000. Modular simulation in multibody system dynamics. Multibody Syst. Dynam. 4, nos. 2/3:107–127.CrossRefGoogle Scholar
Kurdila, A.J., J.L., Junkins, and S., Hsu. 1993. Lyapunov stable penalty methods for imposing non-holonomic constraints in multibody system dynamics. Nonlinear Dynamics 4:51–82.Google Scholar
Kushwaha, M., S., Gupta, P., Kelly, and H., Rahnejat. 2002. Elasto-multi-body dynamics of a multicylinder internal combustion engine. Proc. Inst. Mech. Engrs. Part K J. Multi-body Dynam. 216, no. 4:281–293.Google Scholar
Lai, H.J., E.J., Haug, S.S., Kim, and D.S., Bae. 1991. A decoupled flexible-relative co-ordinate recursive approach for flexible multibody dynamics. Int. J. Numer. Methods Eng. 32, no. 8:1669–1690.CrossRefGoogle Scholar
Lan, P., and A.A., Shabana. 2010. Integration of B-splaine Geometry and ANCF finite element analysis. Nonlinear Dynamics 61, nos. 1–2:193–206.CrossRefGoogle Scholar
Laskin, R.A., P.W., Likins, and R.W., Longman. 1983. Dynamical equations of a free-free beam subject to large overall motions. J. Astronaut. Sci. 31, no. 4:507–528.Google Scholar
Leamy, M.J., and T.M., Wasfy. 2002. Transient and steady-state dynamic finite element modeling of belt-drives. J. Dynam. Syst. Measurement Control 124, no. 4:575–581.CrossRefGoogle Scholar
Lens, E.V., A., Cardona, and M., Geradin. 2004. Energy preserving time integration for constrained multibody systems. Multibody Syst. Dynam. 11:41–61.CrossRefGoogle Scholar
Likins, P.W. 1967. Model method for analysis of free rotations of spacecraft. AIAA J. 5, no. 7:1304–1308.CrossRefGoogle Scholar
Likins, P.W.. 1973a. Dynamic analysis of a system of hinge-connected rigid bodies with nonrigid appendages. Int. J. Solids Struct. 9:1473–1487.CrossRefGoogle Scholar
Likins, P.W.. 1973b. Hybrid-coordinate spacecraft dynamics using large deformation modal coordinates. Astronaut. Acta 18, no. 5:331–348.Google Scholar
Liu, C., Q., Tian, and H., Hu. 2011. Dynamics of a large scale rigid-flexible multibody system composed of composite laminated plates. Multibody System Dynamics 26, no. 3:283–305.CrossRefGoogle Scholar
Lowen, G.G., and C., Chassapis. 1986. The elastic behavior of linkages: An update. Mech. Machine Theory 21, no. 1:33–42.CrossRefGoogle Scholar
Lowen, G.G., and W.G., Jandrasits. 1972. Survey of investigations into the dynamic behavior of mechanisms containing links with distributed mass and elasticity. Mech. Machine Theory 7:13–17.CrossRefGoogle Scholar
Magnus, K. 1978. Dynamics of multibody systems. Berlin: Springer Verlag.CrossRefGoogle Scholar
Maisser, P., O., Enge, H., Freudenberg, and G., Kielau. 1997. Electromechanical interaction in multibody systems containing electromechanical drives. Multibody Syst. Dynamics 1, no. 3:281–302.Google Scholar
Mayo, J. 1993. Geometrically nonlinear formulations of flexible multibody dynamics. Ph.D. dissertation, University of Seville, Spain.Google Scholar
Mayo, J., J., Dominguez, and A., Shabana. 1995. Geometrically nonlinear formulations of beams in flexible multibody dynamics. ASME J. Vibration Acoust. 117, no. 4:501–509.CrossRefGoogle Scholar
McPhee, J. 2003. Virtual prototyping of multibody systems with linear graph theory and symbolic computing, in Virtual nonlinear multibody systems, ed. W., Schiehlen and M., Valasek. Dordrecht: Kluwer Academic.Google Scholar
Meijaard, J.P. 1991. Direct determination of periodic solutions of the dynamical equations of flexible mechanisms and manipulators. Int. J. Numer. Methods Eng. 32, no. 8:1691–1710.CrossRefGoogle Scholar
Meirovitch, L. 1974. A new method of solution of the eigenvalue problem for gyroscopic systems. AIAA J. 12:1337–1342.CrossRefGoogle Scholar
Meirovitch, L.. 1975. A modal analysis for the response of linear gyroscopic systems. ASME J. Appl. Mech. 42:446–450.CrossRefGoogle Scholar
Meirovitch, L.. 1976. A stationary principle for the eigenvalue problem for rotating structures. AIAA J. 14:1387–1394.CrossRefGoogle Scholar
Meirovitch, L.. 1997. Principles and techniques of vibrations. Englewood Cliffs, N.J.: Prentice-Hall.Google Scholar
Melzer, F. 1993. Symbolic computations in flexible multibody systems. Proc. NATO-Advanced Study Institute on the Computer Aided Analysis of Rigid and Flexible Mechanical Systems, Vol. 2, Troia, Portugal, June 26-July 9, 1993, pp. 365–381.Google Scholar
Melzer, F.. 1994. Symbolisch-Neumerische Modellierung Elastischer Mehrkorpersysteme mit Anwendung auf Rechnerische Lebensdauervorhersagen. Fortschr.-Ber, VDI Reihe 20, Nr. 139, Dusseldorf, Germany: VDI-Verlag 1994.Google Scholar
Mikkola, A.M., and A.A., Shabana. 2003. A non-incremental finite element procedure for the analysis of large deformation of plates and shells in mechanical system applications. Multibody Syst. Dynam. 9, no. 3:283–309.CrossRefGoogle Scholar
Milne, R.D. 1968. Some remarks on the dynamics of deformable bodies. AIAA J. 6, no. 3:556–558.CrossRefGoogle Scholar
Modi, V.J., A., Suleman, A.C., Ng, and Y., Morita. 1991. An approach to dynamics and control of orbiting flexible structures. Int. J. Numer. Methods Eng. 32, no. 8:1727–1748.CrossRefGoogle Scholar
Negrut, D., Haug, E.J., and German, H.C. 2003. “An Implicit Runge-Kutta Method for Integration of Differential Algebraic Equations of Multibody Dynamics”, Multibody System Dynamics, Vol. 9, pp. 121–142.CrossRefGoogle Scholar
Negrut, D., and Ortiz, J.L. 2006. “A Practical Approach for the Linearization of the Constrained Multibody Dynamics Equations”, ASME Journal of Computational and Nonlinear Dynamics, Vol. 1(3), pp. 230–239, doi:10.1115/1.2198876.CrossRefGoogle Scholar
Negrut, D., Rampalli, R., Ottarsson, G., and Sajdak, A. 2006. “On an Implementation of the Hilber-Hughes-Taylor Method in the Context of Index 3 Differential-Algebraic Equations of Multibody Dynamics”, ASME Journal of Computer Nonlinear Dynamics, Vol.2(1), pp. 73–85 doi:10.1115/1.2389231.Google Scholar
Neimark, J.I., and N.A., Fufaev. 1972. Dynamics of nonholonomic systems. Providence: American Mathematical Society.Google Scholar
Nikravesh, P.E. 1988. Computer-aided analysis of mechanical systems, Englewood Cliffs, N.J.: Prentice-Hall.Google Scholar
Nikravesh, P.E., and J.A.C., Ambrosio. 1991. Systematic construction of equations of motion for rigid-flexible multibody systems containing open and closed kinematic loops. Int. J. Numer. Methods Eng. 32, no. 8:1749–1766.CrossRefGoogle Scholar
Ogden, R.W. 1984. Non-linear elastic deformations. Mineola, NY: Dover Publications.Google Scholar
Omar, M.A., and A.A., Shabana. 2001. A two-dimensional shear deformable beam for large rotation and deformation problems. J. Sound Vibration 243, no. 3:565–576.CrossRefGoogle Scholar
Orlandea, N., M.A., Chace, and D.A., Calahan. 1977. A sparsity-oriented approach to dynamic analysis and design of mechanical systems. ASME J. Eng. Industry 99:773–784.Google Scholar
Park, K.C., J.D., Downer, J.C., Chiou, and C., Farhat. 1991. A modular multibody analysis capability for high precision, active control and real time applications. Int. J. Numer. Methods Eng. 32, no. 8:1767–1798.CrossRefGoogle Scholar
Pascal, M. 1988. Dynamics analysis of a system of hinge-connected flexible bodies. Celest. Mech. 41:253–274.Google Scholar
Pascal, M.. 1990. Dynamical analysis of a flexible manipulator arm. Acta Astronaut. 21, no. 3:161–169.CrossRefGoogle Scholar
Pascal, M., and M., Sylia. 1993. Dynamic model of a large space structure by a continuous approach. Rech. Aerosp. No. 1993-2:67–77.Google Scholar
Paul, B. 1979. Kinematics anddynamics of planar machinery. Englewood Cliffs, N.J.: Prentice-Hall.Google Scholar
Paul, R.P. 1981. Robot manipulators, mathematics, programming, and control. Cambridge, Mass.: MIT Press.Google Scholar
Pedersen, N.L. 1997. On the formulation of flexible multibody systems with constant mass matrix. Multibody Syst. Dynamics 1, no. 3:323–337.Google Scholar
Pereira, M.F.O.S., and J.A.C., Ambrosio. (eds.). 1994. Computer-aided analysis of rigid and flexible mechanical systems. Dordrecht: Kluwer Academic Publishers.CrossRef
Pereira, M.S., and P.L., Proenca. 1991. Dynamic analysis of spatial flexible multibody systems using joint co-ordinates. Int. J. Numer. Methods Eng. 32, no. 8:1799–1812.CrossRefGoogle Scholar
Pfeiffer, F. 1999. Unilateral problems of dynamics. Arch.Appl.Mech. 69:503–527.CrossRefGoogle Scholar
Pfeiffer, F., and C., Glocker. 2001. Contacts in multibody systems. J. Appl. Math. Mech. 64, no. 5:773–782.Google Scholar
Pfeiffer, F. 2001. Applications of unilateral multibody dynamics. Phil. Trans. R. Soc. 359, no. 1789:2609–2628.CrossRefGoogle Scholar
Pombo, J., and J., Ambrosio. 2003. General spatial curve joint for rail guided vehicles kinematics and dynamics. Multibody Syst. Dynam. 9, no. 3:237–264.CrossRefGoogle Scholar
Przemineiecki, J.S. 1968. Theory of matrix structural analysis. New York: McGraw-Hill.Google Scholar
Rahnejat, H. 2000. Multi-body dynamics: Historical evolution and application. Proc. Inst. Mech. Engrs. Part C J. Mech. Eng. Sci. 214, no. 1:149–173.Google Scholar
Rankin, C.C., and F.A., Brogan. 1986. An element independent corotational procedure for the treatment of large rotations. ASME J. Pressure Vessel Technol. 108:165–174.CrossRefGoogle Scholar
Rauh, J. 1987. Ein Beitrag zur Modellierung Elastischer Balkensysteme. Fortschr.-Ber. VDI Reihe 18, Nr. 37, Dusseldorf, Germany: VDI-Verlag 1987.Google Scholar
Rauh, J., and W., Schiehlen. 1986a. A unified approach for the modeling of flexible robot arms. Proc. 6th CISM-IFToMM Symposium on Theory and Practice of Robots and Manipulators, Cracow, Sept. 9-12, pp. 99–106.Google Scholar
Rauh, J.. 1986b. Various approaches for modeling of flexible robot arms. Proc. Euromech Colloquium 219, Refined Dynamical Theories of Beams, Plates, and Shells, and Their Applications, Kassel, Germany, Sept. 23-26, pp. 420–429.Google Scholar
Rismantab-Sany, J., and A.A., Shabana. 1990. On the use of momentum balance in the impact analysis of constrained elastic systems. ASME J. Vibration Acoust. 112, no. 1:119–126.CrossRefGoogle Scholar
Roberson, R.E. 1972. A form of the translational dynamical equation for relative motion in systems of many non-rigid bodies. Acta Mech. 14:297–308.CrossRefGoogle Scholar
Roberson, R.E., and R., Schwertassek. 1988. Dynamics of multibody systems. Berlin: Springer Verlag.CrossRefGoogle Scholar
Sadler, J.P., and G.N., Sandor. 1973. A lumped approach to vibration and stress analysis of elastic linkages. ASME J. Eng. Industry (May):549–557.Google Scholar
Sanborn, G., and A.A., Shabana. 2009. On the integration of computer aided design and analysis using the finite element absolute nodal coordinate formulation. Multibody System Dynamics 22, no. 2:181–197.CrossRefGoogle Scholar
Schiehlen, W.O. 1982. Dynamics of complex multibody systems. SM Arch. 9:297–308.Google Scholar
Schiehlen, W.O.. (ed.). 1990. Multibody system handbook. Berlin: Springer Verlag.CrossRef
Schiehlen, W.O.. 1994. Symbolic computations in multibody systems. In Computer-aided analysis of rigid and flexible mechanical systems, ed. M.S., Pereira and J.A.C., Ambrosio, 101–136. Dordrecht: Kluwer Academic Publishers.
Schiehlen, W.O.. 1997. Multibody system dynamics: Roots and Perspectives. J. Multibody Syst. Dynamics 1, no. 2:149–188.
Schiehlen, W.O., and J., Rauh. 1986. Modeling of flexible multibeam systems by rigid-elastic superelements. Revista Brasiliera de Ciencias Mecanicas 8, no. 2:151–163.Google Scholar
Schwab, A.L., and J.P., Meijaard. 2003. Dynamics of flexible multibody systems with non-holonomic constraints: A finite element approach. Multibody Syst. Dynam. 10, no. 1:107–123.CrossRefGoogle Scholar
Schwab, A. L., and J.P., Meijaard. 2010. Comparison of three-dimensional flexible beam elements for dynamic analysis: Classical finite element formulation and absolute nodal coordinate formulation. Journal of Computational and Nonlinear Dynamics 5, no. 1: 011010-1-011010-10.CrossRefGoogle Scholar
Schwab, A.L., J.P., Meijaard, and P., Meijers. 2002. A comparison of revolute joint clearance models in the dynamic analysis of rigid and elastic mechanical systems. Mechanism and Machine Theory 37, no. 9:895–913.CrossRefGoogle Scholar
Schwab, A.L., and J.P., Meijaard. 2002. Small vibrations superimposed on a prescribed rigid body motion multibody system dynamics. Multibody System Dynamics 8, no. 1:29–50.CrossRefGoogle Scholar
Shabana, A.A. 1982. Dynamics of large scale flexible mechanical systems. Ph.D. dissertation, University of Iowa, Iowa City.Google Scholar
Shabana, A.A.. 1985. Automated analysis of constrained inertia-variant flexible systems. ASME J. Vibration Acoustic Stress Reliability Design 107, no. 4:431–440.Google Scholar
Shabana, A.A.. 1986. Dynamics of inertia variant flexible systems using experimentally identified parameters. ASME J. Mechanisms Transmission Automation Design 108:358–366.Google Scholar
Shabana, A.A.. 1989. Dynamics of multibody systems, 1st ed. New York: Wiley.Google Scholar
Shabana, A.A.. 1991. Constrained motion of deformable bodies. Int. J. Numer. Methods Eng. 32, no. 8:1813–1831.CrossRefGoogle Scholar
Shabana, A.A.. 1994a. Computational dynamics, 1st ed. New York: John Wiley & Sons.Google Scholar
Shabana, A.A.. 1994b. Computer implementation of flexible multibody equations. In Computer-aided analysis of rigid and flexible mechanical systems, ed. M.S., Pereira and J.A.C., Ambrosio, 325–350. Dordrecht: Kluwer Academic Publishers.Google Scholar
Shabana, A.A.. 1996a. Resonance conditions and deformable body coordinate systems. J. Sound Vibration 192, no. 1:389–398.CrossRefGoogle Scholar
Shabana, A.A.. 1996b. Finite element incremental approach and exact rigid body inertia. ASME J. Mech. Design 118, no. 2:171–178.CrossRefGoogle Scholar
Shabana, A.A.. 1996c. An absolute nodal coordinate formulation for the large rotation and deformation analysis of flexible bodies. Technical Report # MBS96-1-UIC, Department of Mechanical Engineering, University of Illinois at Chicago, March 1996.Google Scholar
Shabana, A.A.. 1997a. Vibration of discrete and continuous systems, 2nd ed. New York: Springer Verlag.Google Scholar
Shabana, A.A.. 1997b. Flexible multibody dynamics: Review of past and recent developments. J. Multibody Syst. Dynamics 1, no. 2:189–222.Google Scholar
Shabana, A.A.. 1998. Computer implementation of the absolute nodal coordinate formulation for flexible multibody dynamics. Nonlinear dynam. 16, no. 3:293–306.CrossRefGoogle Scholar
Shabana, A.A.. 2010. Computational dynamics. Third Edition, New York: Wiley.CrossRefGoogle Scholar
Shabana, A.A.. 2010a. Uniqueness of the geometric representation in large rotation finite element formulations. ASME Journal of Computational and Nonlinear Dynamics 5:044501-1044501-5.CrossRefGoogle Scholar
Shabana, A.A.. 2012. Computational continuum mechanics, 2nd ed. Cambridge: Cambridge University Press.Google Scholar
Shabana, A.A., and A., Christensen. 1997. Three dimensional absolute nodal coordinate formulation: Plate problem. Int. J. Numer. Methods Eng. 40, no. 15:2775–2790.3.0.CO;2-#>CrossRefGoogle Scholar
Shabana, A.A., A.M., Hamed, A.A., Mohamed, P., Jayakumar, and M.D., Letherwood. 2012. Use of B-Spline in the Finite Element Analysis: Comparison with ANCF Geometry, ASME Journal of Computational and Nonlinear Dynamics 7, no. 1:011008-1-011008-8.CrossRefGoogle Scholar
Shabana, A.A., H.A., Hussien, and J.L., Escalona. 1998. Application of the absolute nodal coordinate formulation to large rotation and large deformation problems. ASME J. Mech. Design 120, no. 2:188–195.CrossRefGoogle Scholar
Shabana, A.A., and A.M., Mikkola. 2003. Use of the finite element absolute nodal coordinate formulation in modeling slope discontinuity. ASME J. Mech. Design 125, no. 2: 342–350.CrossRefGoogle Scholar
Shabana, A.A., and A.M., Mikkola. 2003. On the use of the degenerate plate and the absolute nodal co-ordinate formulations in multibody system applications. J. Sound Vibration 259, no. 2:481–489.CrossRefGoogle Scholar
Shabana, A.A., and R.A., Schwertassek. 1998. Equivalence of the floating frame of reference approach and finite element formulations. Int. J. Nonlinear Mech. 33, no. 3: 417–432.CrossRefGoogle Scholar
Shabana, A., and R.A., Wehage. 1983. Coordinate reduction technique for transient analysis of spatial substructures with large angular rotations. J. Struct. Mech. 11, no. 3:401–431.CrossRefGoogle Scholar
Shabana, A.A., and R.Y., Yakoub. 2001. Three dimensional absolute nodal coordinate formulation for beam elements: Theory. ASME J. Mech. Design 123, no. 4:606–613.CrossRefGoogle Scholar
Shampine, L., and M., Gordon. 1975. Computer solution of ODE: The initial value problem. San Francisco: Freeman.Google Scholar
Sheth, P.N., and J.J., Uicker. 1972. IMP (Integrated Mechanism Program), a computer-aided design analysis system for mechanism linkages. ASME J. Eng. Industry 94:454.CrossRefGoogle Scholar
Shi, P., and J., McPhee. 2000. Dynamics of flexible multibody systems using virtual work and linear graph theory. Multibody Syst. Dynam. 4:355–381.CrossRefGoogle Scholar
Silva, M., and J., Ambrosio. 2003. Solution of the redundant muscle forces in human locomotion with multibody dynamics and optimization tools. Mech. Based Design Structures and Mechanisms 31, no. 3:381–411.Google Scholar
Simo, J.C. 1985. A finite strain beam formulation. The three-dimensional dynamic problem, part I. Comput. Methods Appl. Mech. Eng. 49:55–70.CrossRefGoogle Scholar
Simo, J.C., and L., Vu-Quoc. 1986a. A three-dimensional finite strain rod model, part II: Computational aspects. Comput. Methods Appl. Mech. Eng. 58:79–116.CrossRefGoogle Scholar
Simo, J.C.. 1986b. On the dynamics of flexible beams under large overall motions-The plane case: Parts I and II. ASME J. Appl. Mech. 53:849–863.Google Scholar
Song, J.O., and E.J., Haug. 1980. Dynamic analysis of planar flexible mechanisms. Comput. Methods Appl. Mech. Eng. 24:359–381.Google Scholar
Sopanen, J.T., and A.M., Mikkola. 2003. Description of elastic forces in absolute nodal coordinate formulation. Nonlinear Dynam. 34, no. 1-2:53–74.CrossRefGoogle Scholar
Spencer, A.J.M. 1980. Continuum mechanics. London: Longman.Google Scholar
Spring, K.W. 1986. Euler parameters and the use of quaternion algebra in the manipulation of finite rotations: A review. Mech. Machine Theory 21, no. 5:365–373.CrossRefGoogle Scholar
Stadler, W., and P., Eberhard. 2001. Jacobian motion and its derivatives. Mechatronics 11, no. 5:563–593.CrossRefGoogle Scholar
Strang, G. 1988. Linear algebra and its applications, 3rd ed. Fort Worth: Saunders College Publishing.Google Scholar
Sugiyama, H., J.L., Escalona, and A.A., Shabana. 2003. Formulation of three-dimensional joint constraints using the absolute nodal coordinates. Nonlinear Dynam. 31, no. 2: 167–195.CrossRefGoogle Scholar
Sugiyama, H., A.M., Mikkola, and A.A., Shabana. 2003. A non-incremental nonlinear finite element solution for cable problems. ASME J. Mech. Design 125, no. 4:746–756.CrossRefGoogle Scholar
Sugiyama, H., and A.A., Shabana. 2004. Application of plasticity theory and absolute nodal coordinate formulation to flexible multibody system dynamics. ASME J. Mech. Design 126, no. 3:478–487.CrossRefGoogle Scholar
Sugiyama, H., and A.A., Shabana. 2004. On the use of implicit integration methods and the absolute nodal coordinate formulation in the analysis of elasto-plastic deformation problems. Nonlinear Dynamics, Vol. 47, pp. 245–270.Google Scholar
Sunada, W., and S., Dubowsky. 1981. The application of the finite element methods to the dynamic analysis of flexible spatial and co-planar linkage systems. ASME J. Mech. Design 103, no. 3:643–651.CrossRefGoogle Scholar
Sunada, W.. 1983. On the dynamic analysis and behavior of industrial robotic manipulators with elastic members. ASME J. Mech. Transmissions Automation Design 105, no. 1:42–51.Google Scholar
Takahashi, Y., and N., Shimizu. 1999. Study on elastic forces of the absolute nodal coordinate formulation for deformable beams. Proc. ASME International Design Engineering Technical Conferences and Computer and Information in Engineering Conference, Las Vegas, NV.Google Scholar
Tian, Q., Y., Zhang, L., Chen, and J., Yang. 2010. Simulation of planar flexible multibody systems with clearance and lubricated revolute joints. Nonlinear Dynamics 60:489–511.CrossRefGoogle Scholar
Turcic, D.A., and A., Midha. 1984. Dynamic analysis of elastic mechanism systems, parts I & II. ASME J. Dynam. Syst. Measurement Control 106:249–260.Google Scholar
Udwadia, F.E., Schutte, A.D. 2010. “Equations of Motion for General Constrained Systems in Lagrangian Mechanics,” Acta Mechanica, Vol. 213, pp. 111–129.CrossRefGoogle Scholar
Udwadia, F.E., and Schutte, A.D. 2010. “An Alternative Derivation of the Quaternion Equations of Motion for Rigid-Body Rotational Dynamics,” Journal of Applied Mechnaics, Vol. 77, 044505, pp. 1–4.Google Scholar
Udwadia, F.E., and Wanichanon, T. 2010. “Hamel's Paradox and the Foundations of Analytical Dynamics,” Applied Mathematics and Computations, Vol. 217, pp. 1253–1263.CrossRefGoogle Scholar
Udwadia, F. 2009. “A Note on Nonproportional Damping,” Journal of Engineering Mechanics, 135, pp. 1248–1256.CrossRefGoogle Scholar
Uicker, J.J. 1967. Dynamic force analysis of spatial linkages. ASME J. Appl. Mech. 34: 418–424.CrossRefGoogle Scholar
Uicker, J.J.. 1969. Dynamic behavior of spatial linkages. ASME J. Eng. Industry 91, no. 1:251–265.CrossRefGoogle Scholar
Uicker, J.J., J., Denavit, and R.S., Hartenberg. 1964. An iterative method for the displacement analysis of spatial mechanisms. ASME J. Appl. Mech. (June 1964):309–314.Google Scholar
Von Dombrowski, S. 2002. Analysis of large flexible body deformation in multibody systems using absolute coordinates. Multibody Syst. Dynam. 8, no. 4:409–432.CrossRefGoogle Scholar
Wallrapp, O., and R., Schwertassek. 1991. Representation of geometric stiffening in multibody system simulation. Int. J. Numer. Methods Eng. 32, no. 8:1833–1850.CrossRefGoogle Scholar
Wasfy, T.M., and A.K., Noor. 1996. Modeling and sensitivity analysis of multibody systems using new solid, shell and beam elements. Comput. Methods Appl. Mech. Eng. 138:187–211.CrossRefGoogle Scholar
Wasfy, T.M., and A.K., Noor. 2003. Computational strategies for flexible multibody systems. Appl. Mech. Rev. 56, no. 6:553–613.CrossRefGoogle Scholar
Wasfy, T.M. 2003. Asperity spring friction model with application to belt-drives. 19th Biennial Conference on Mechanical Vibration and Noise, ASME International 2003 DETC, Chicago, IL, paper no. DETC2003-48343.Google Scholar
Wasfy, T.M. 2001. Lumped-parameters brick element for modeling shell flexible multibody systems. 18th Biennial Conference on Mechanical Vibration and Noise, ASME International 2001 DETC, Pittsburgh, PA, paper no. DETC2001/VIB-21338.Google Scholar
Wehage, R.A. 1980. Generalized coordinate partitioning in dynamic analysis of mechanical systems. Ph.D. dissertation, University of Iowa, Iowa City.Google Scholar
Winfrey, R.C. 1971. Elastic link mechanism dynamics. ASME J. Eng. Industry 93:268–272.CrossRefGoogle Scholar
Winfrey, R.C.. 1972. Dynamic analysis of elastic link mechanisms by reduction of coordinates. ASME J. Eng. Industry 94:557–582.Google Scholar
Wittenburg, J. 1977. Dynamics of systems of rigid bodies. Stuttgart: Teubner.CrossRefGoogle Scholar
Wylie, C.R., and L.C., Barrett. 1982. Advanced engineering mathematics, 5th ed. New York: McGraw-Hill.Google Scholar
Yakoub, R.Y., and A.A., Shabana. 1999. Use of Cholesky coordinates and the absolute nodal coordinate formulation in the computer simulation of flexible multibody systems. Nonlinear Dynam. 20, no. 3:267–282.CrossRefGoogle Scholar
Yakoub, R.Y., and A.A., Shabana. 2001. Three dimensional absolute nodal coordinate formulation for beam elements: Implementation and applications. ASME J. Mech. Design 123, no. 4:614–621.CrossRefGoogle Scholar
Yigit, A.S., A.G., Ulsoy, and R.A., Scott. 1990a. Dynamics of a radially rotating beam with impact, part I: Theoretical and computational model. ASME J. Vibration Acoustics 112:65–70.Google Scholar
Yigit, A.S.. 1990b. Dynamics of a radially rotating beam with impact, part II: Experimental and simulation results. ASME J. Vibration Acoustics 112:71–77.Google Scholar
Yoo, W.S., J.H., Lee, S.J., Park, J.H., Sohn, O., Dmitrochenko, and D., Pogorelov. 2003. Large oscillations of a thin cantilever beam: Physical experiments and simulation using the absolute nodal coordinate formulation. Nonlinear Dynam. 34, no. 1-2:3–29.CrossRefGoogle Scholar
Yoo, W.S., J.H., Lee, S.J., Park, J.H., Sohn, D., Pogorelov, and O., Dmitrochenko. 2004. Large deflection analysis of a thin plate: Computer simulations and experiments, Multibody Syst. Dynam. 11, no. 2:185–208.CrossRefGoogle Scholar
Zienkiewicz, O.C. 1979. The finite element method. New York: McGraw-Hill.Google Scholar

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  • References
  • Ahmed A. Shabana, University of Illinois, Chicago
  • Book: Dynamics of Multibody Systems
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