TECHNICAL PAPERS
Apr 1, 2005

Free Vibration of Open Circular Cylindrical Composite Shells with Point Supports

Publication: Journal of Aerospace Engineering
Volume 18, Issue 2

Abstract

A variational full-field method is presented in this paper for the free vibration analysis of open circular cylindrical laminated shells supported at discrete points. A differential equation in matrix form is developed using the first-order shear deformable theory of shells, and rotary inertia is included. The displacement fields are defined by using very high-order interpolating polynomials and a large number of preselected nodal points on the reference surface of the shell. Each nodal point has 5 degrees of freedom, three displacement components, and two components of the rotation of the normal to the reference surface. The stiffness and mass matrices are obtained using the strain and kinetic energy functions. The numerical results are calculated for shallow and deep circular cylindrical panels with four-, six-, and eight-point supports along the two parallel straight edges. The values of the natural frequency obtained from the present method show good agreement with published data in the literature.

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References

Chakravorty, D., Bandyopadhay, J. N., and Sinha, P. K. (1995a). “Free vibration analysis of point supported laminated composite doubly curved shells—Finite element approach.” Comput. Struct., 54(2), 191–198.
Chakravorty, D., Bandyopadhay, J. N., and Sinha, P. K. (1995b). “Finite element free vibration analysis of point supported laminated composite cylindrical shells.” J. Sound Vib., 181(1), 43–52.
Chen, X. L., Liu, G. R., and Lim, S. P. (2003). “An element free Galerkin method for the free vibration analysis of composite laminates of complicated shapes.” Compos. Struct., 59, 279–289.
Jones, R. M. (1999). Mech. Compos. Mater., 2nd Ed., Taylor and Francis, Bristol, Pa.
Kapania, R. K., (1989). “A review on the analysis of laminated shells.” ASME J. Pressure Vessel Technol., 111, 88–96.
Krysl, P., and Belytschko, T. (1995). “Analysis of thin plates by the element-free Galerkin method.” Comput. Mech., 17, 26–35.
Krysl, P., and Belytschko, T. (1996). “Analysis of thin shells by the element-free Galerkin method.” Int. J. Solids Struct., 33, 3057–3080.
Liu, G. R., and Chen, X. L. (2001). “A mesh free method for static and free vibration analysis of thin plates of complicated shape.” Sound Vib., 241(5), 839–855.
Narita, Y., and Leissa, A. W. (1984). “Vibrations of corner point supported shells of rectangular planform.” Earthquake Eng. Struct. Dyn., 12, 651–661.
Noor, A. K., and Burton, W. S. (1990). “Assessment of computational models for multilayered composite shells.” Appl. Mech. Rev., 43, 67–97.
Saada, A. S. (1974). Elasticity: theory and applications, Pergamon, Tarrytown, N.Y.
Schwarte, J. (1994). “Vibrations of corner point supported rhombic hyper-shells.” J. Sound Vib., 175(1), 105–114.
Singh, A. V. (1999). “Free vibration analysis of deep doubly curved sandwich panels.” Comput. Struct., 73, 385–394.
Singh, A. V., and Kumar, V. (1996a). “Vibration of laminated shallow shells on quadrangular boundary.” J. Aerosp. Eng., 9(2), 52–57.
Singh, A. V., and Kumar, V. (1996b). “Ritz type solution for the free vibrations of fibre-reinforced cylindrical shells.” Numerical analysis and modelling of composite materials, J. W. Bull, ed., Blackie Academic and Professional, London, 60–77.
Vinson, J. R., and Sierakowski, R. L. (2002). The behavior of structures composed of composite materials, 2nd Ed., Kluwer Academic, Boston.
Weaver, W., Jr., and Johnston, P. R. (1984). Finite elements for structural analysis, Prentice Hall, Englewood Cliffs, N.J.
Yu, S. D., Cleghorn, W. L., and Fenton, R. G. (1995). “On the accurate analysis of free vibration of open circular cylindrical shells.” J. Sound Vib., 188(3), 315–336.

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Information

Published In

Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 18Issue 2April 2005
Pages: 120 - 128

History

Received: Jul 7, 2003
Accepted: Apr 20, 2004
Published online: Apr 1, 2005
Published in print: Apr 2005

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Authors

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A. V. Singh [email protected]
Associate Professor, Dept. of Mechanical and Materials Engineering, Univ. of Western Ontario, London, Ontario, N6A 5B9, Canada. E-mail: [email protected]
Libing Shen
Dept. of Mechanical and Materials Engineering, Univ. of Western Ontario, London, Ontario, N6A 5B9, Canada.

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