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Vibration Behavior of Laminated Composite Beams Integrated with Magnetorheological Fluid Layer

Published online by Cambridge University Press:  13 September 2016

J. Naji*
Affiliation:
School of Science and EngineeringInternational CampuSharif University of TechnologyKish, Iran
A. Zabihollah
Affiliation:
School of Science and EngineeringInternational CampuSharif University of TechnologyKish, Iran
M. Behzad
Affiliation:
School of Mechanical EngineeringSharif University of TechnologyTehran, Iran
*
*Corresponding author ([email protected])
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Abstract

Vibration behavior of adaptive laminated composite beams integrated with magnetorheological (MR) fluid layer has been investigated using layerwise displacement theory. In most of the existing studies on the adaptive laminated beams with MR fluids, shear strain across the thickness of magnetorheological (MR) layer has been assumed a constant value, resulting in a constant shear stress in MR layer. However, due to the high shear deformation pattern inside MR layer, this assumption is not adequate to accurately describe the shear strain and stress in MR fluid layer. In this work a modified layerwise theory is employed to develop a Finite Element Model (FEM) formulation to simulate the laminated beams integrated with MR fluids. In the present model, each layer is modeled based on First-order Shear Deformation Theory (FSDT). The inter-laminar stresses between face-layer and MR layer is estimated more precise so FEM results are more accurate. Standard test of ASTM E 756-98 was employed to develop an empirical relationship for the complex shear modulus of MR fluid. Numerical examples have been illustrated the effects of MR fluid layer on the vibration behavior of the laminated beam. An experimental setup has been (FSDT) fabricated for the verification of the results.

Type
Research Article
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2016 

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References

1. Gandhi, M. V., Thomson, B.S., Kasiviswanathan, S.R. and Choi, S.B., “A collage of experimental investigations on smart fibrous composite structures and mechanical systems featuring electro-rheological fluids, piezoelectric materials and fiber-optic sensors,” Composite Engineering, 2, pp. 561571 (1992).Google Scholar
2. Choi, Y., Sprecher, A.F. and Conrad, H., “Vibration characteristics of a composite beam containing an electrorheological fluid,” Journal of Intelligent Material Systems and Structures, 1, pp. 91104 (1990).Google Scholar
3. Mahjoob, M.J., Martin, H.R. and Ismail, F., “Identification of Damping and Stiffness of Smart Structures Incorporating ER Fluids,” Applied Acoustics, 45, pp. 211226 (1995).Google Scholar
4. Yalcintas, M. and Coulter, J.P., “Analytical modeling of electrorheological materials based adaptive beams,” Journal of Intelligent Material Systems and Structures, 6, pp. 488497 (1995).Google Scholar
5. Yalcintas, M. and Dai, H., “Magnetorheological and electrorheological materials in adaptive structures and their performance comparison,” Smart Materials and Structure, 8, pp. 560573 (1999).Google Scholar
6. Yalcintas, M. and Dai, H., “Vibration suppression capabilities of magnetorheological materials based adaptive structures,” Smart Materials and Structure, 13, pp. 111 (2004).CrossRefGoogle Scholar
7. Ginder, J.M., Davis, L.C. and Elie, L.D., “Rheology of magnetorheological fluids, models and measurements,” International Journal of Modern Physics, B10, pp. 32933303 (1996).Google Scholar
8. Sun, Q., Zhou, J.X. and Zhang, L., “An adaptive beam model and dynamic characteristics of magnetorheological Materials,” Journal of Sound and Vibration, 261, pp. 465481 (2003).Google Scholar
9. Sapinski, B. and Snamina, J., “Vibration control capabilities of a cantilever beam with a magnetorheological fluid,” Mechanics, 27, pp. 7075 (2008).Google Scholar
10. Lara-Prieto, V., Parkin, R., Jackson, M., Silberschmidt, V. and Kesy, Z., “Vibration characteristics of MR cantilever sandwich beams: Experimental study,” Smart Materials and Structure, 19, 015005 (2010).Google Scholar
11. Rajamohan, V., Sedaghati, R. and Rakheja, S., “Vibration analysis of a multi-layer beam containing magnetorheological fluid,” Smart Materials and Structure, 19, 015013 (2010).Google Scholar
12. Allahverdizadeh, A., Mahjoob, M.J., Maleki, M. and Nasrollahzadeh, N., “On the vibration behavior of functionally graded electrorheological sandwich beams,” International Journal of Mechanical Sciences, 70, pp. 130139 (2013).Google Scholar
13. Eshaghi, M., Rakheja, S. and Sedaghati, R., “An accurate technique for pre-yield characterization of MR fluids,” Smart Materials and Structure, 24, 065018 (2015).Google Scholar
14. Payganeh, G., Malekzadeh, K. and Malek-Mohammadi, H., “Free vibration of sandwich panels with smart magnetorheological kayers and flexible cores,” Journal of Solid Mechanics, 8, pp. 1230 (2016).Google Scholar
15. Aguib, S., Nour, A., Djedid, T., Bossis, G. and Chikh, N., “Forced transverse vibration of composite sandwich beam with magnetorheological elastomer core,” Journal of Mechanical Science and Technology, 30, pp. 1524 (2016).Google Scholar
16. Choi, S.B., Li, W., Yu, M., Du, H., Fu, J. and Do, P.X., “State of the art of control schemes for smart systems featuring magnetorheological materials fluids,” Smart Materials and Structure, 25, 043001 (2016).CrossRefGoogle Scholar
17. Reddy, J.N., “A generalization of two-dimensional theories of laminated Composite Plates,” Communication in Applied Numerical Methods, 3, pp. 173180 (1987).Google Scholar
18. Moreira, R. and Rodrigues, J.D., “Constrained damping layer treatments: the finite element modeling,” Journal of Vibration Control, 10, pp. 575595 (2004).CrossRefGoogle Scholar
19. Ferreira, A.J.M., Roque, C.M.C., Jorge, R.M.N and Kansa, E.J., “Static deformations and vibration analysis of composite and sandwich plates using a layer-wise theory and multiquadrics discretizations,” Engineering Analysis with Boundary Elements, 29, pp. 11041114 (2005).Google Scholar
20. Moreira, R.S.A. and Rodrigues, D.J., “A layerwise model for thin soft core sandwich plates,” Computers and Structures, 84, pp. 12561263 (2006).Google Scholar
21. Reddy, J.N., Mechanics of Laminated Composite Plates and Shells, Theory and Analysis, 2th Edition, CRC Press, Boca Raton (2004).Google Scholar
22. Davalos, J.F., Kim, Y., Barbero, E.J., “Analysis of laminated beams with a layer-wise constant shear theory”, Composite Structures, 28, pp. 241253 (1994).CrossRefGoogle Scholar