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Dynamic Analysis and Critical Speed of Pressurized Rotating Composite Laminated Conical Shells Using Generalized Differential Quadrature Method

Published online by Cambridge University Press:  05 May 2011

M. Ghayour ,
S. Ziaei Rad ,
R. Talebitooti  and
M. Talebitooti
S. Ziaei Rad*
Affiliation:
Department of Mechanical Engineering, Isfahan University of Technology, Isfahan 84156–83111, Iran
R. Talebitooti*
Affiliation:
Department. of Automotive Engineering, Iran University of Science and Technology, Narmak, Tehran 16844, Iran
M. Talebitooti*
Affiliation:
Department of Mechanical Engineering, Isfahan University of Technology, Isfahan 84156–83111, Iran
*
**Professor Professor
***Assistant Professor
****M.Sc. student
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Abstract

Free vibration analysis of rotating composite laminated conical shells with different boundary conditions using the generalized differential quadrature method (GDQM), is investigated. Equations of motion are derived based on Love's first approximation theory by taking the effects of initial hoop tension and the centrifugal and Coriolis acceleration due to rotation and initial uniform pressure load into account. Then, the equations of motion as well as the boundary condition equations are transformed into a set of algebraic equation applying the GDQM. The results are obtained for the frequency characteristics of different orthotropic parameters, rotating velocities, cone angles and boundary conditions. The presented results are compared with those available in the literature and good agreements are achieved.

Keywords

Rotating conical shellGeneralized differential quadrature method (GDQM)Critical speedNatural frequency.
Type
Articles
Information
Journal of Mechanics , Volume 26 , Issue 1 , March 2010 , pp. 61 - 70
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2010

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References

1.Leissa, A. W., Vibration of Shells, NASA, SP-288 (1973).Google Scholar
2.Soedel, W., Vibrations of Shells and Plates, Revised and Expanded, 2nd Ed., New York, Marcel Dekker (1996).Google Scholar
3.Reddy, J. N., Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, 2ndEd., CRC press (2004).Google Scholar
4.Lam, K. Y. and Loy, C. T., “On Vibrations of Thin Rotating Laminated Composite Cylindrical Shells,” Composites Engineering, 4, pp. 1153–1167 (1994).Google Scholar
5.Lam, K. Y. and Loy, C. T., “Free Vibrations of a Rotating Multi-Layered Cylindrical Shell,” International Journal of Solids and Structures, 32, pp. 647–663, (1995).CrossRefGoogle Scholar
6.Lam, K. Y. and Loy, C. T., “Analysis of Rotating Laminated Cylindrical Shells by Different Thin Shell Theories,” Journal of Sound and Vibration, 186, pp. 23–25 (1995).Google Scholar
7.Li, , Hua, , and Lam, K. Y., “Frequency Characteristics of a Thin Rotating Cylindrical Shell Using the Generalized Differential Quadrature Method,” International Journal of Mechanical Sciences, 40, pp. 443–459 (1998).Google Scholar
8.Chen, Y.Zhao, H. B. and Shea, Z. P., “Vibrations of High Speed Rotating Shells with Calculations for Cylindrical Shells,” Journal of Sound and Vibration, 160, pp. 137–160(1993).Google Scholar
9.Lam, K. Y. and Li, Hua, , “Vibration Analysis of a Rotating Truncated Circular Conical Shell,” International Journal of Solids Structures, 34, pp. 2183–2197 (1997).Google Scholar
10.Lim, C. W. and Liew, K. M., “Vibratory Behavior of Shallow Conical Shells by a Global Ritz Formulation,” Engineering Structure, 17, pp. 63–70 (1995).Google Scholar
11.Liew, K. M., Teo, T. M. and Han, J. B., “Three-Dimensional Static Solution of Rectangular Plates by Variant Differential Quadrature Method,” International Journal of Mechanical Sciences, 43, pp. 1611–1628(2001).Google Scholar
12.Haftchenari, H.Darvizeh, M.Darvizeh, A.Ansari, R. and Sharama, C. B., “Dynamic Analysis of Composite Cylindrical Shells Using Differential Quadrature Method (DQM),” Composite Structures, 78, pp. 292–298 (2007).CrossRefGoogle Scholar
13.Qatu, M. S. Vibration of Laminated Shells and Plates, 1st Ed., Elsevier Ltd. (2004).CrossRefGoogle Scholar
14.Weingarten, V. I., “The Effect of Internal or External Pressure on the Free Vibrations of Conical Shells,” International Journal of Mechanical Science, 8, pp. 115–124(1966)Google Scholar
15.Li, Hua“Frequency Analysis of Rotating Truncated Circular Orthotropic Conical Shells with Different Boundry Conditions,” Composites Science and Technology, 60, pp. 2945–2955 (2000).Google Scholar
16.Lee, Y. S. and Kim, Y. W., “Effect of Boundary Conditions on Natural Frequencies for Rotating Composite Cylindrical Shells with Orthogonal Stiffeners,” Advanced in Engineering Software, 30, pp. 649–655 (1999).Google Scholar
17.Dong, S. B., “A Block-Stodola Eigensolution Technique for Large Algebraic Systems with Non-Symmetrical Matrices,” International Journal for Numerical Methods in Engineering, 11, pp. 247–267 (1977).Google Scholar
18.Daneshjou, K.Talebitooti, M. and Talebitooti, R.“Vibration and Critical Speed of Axially Loaded Rotating Orthotropic Cylindrical Shells,” Journal of Aerospace Science and Technology, 4, pp. 1–7 (2007).Google Scholar