A semi-analytic approach for the nonlinear dynamic response of circular plates

Applied Mathematical Modelling - Tập 33 Số 12 - Trang 4303-4313 - 2009
Peng Jian-she1, Yuquan Yuan2, Jie Yang3, S. Kitipornchai4
1School of Physics and Electronic Information, China West Normal University, Sichuan 637002, China
2Department of Physics, Sichuan University of Science and Engineering, Zigong 643000, China
3School of Aerospace, Mechanical & Manufacturing Engineering, RMIT University, P.O. Box 71, Bundoora, Vic. 3083, Australia
4Department of Building and Construction, City University of Hong Kong, Kowloon, Hong Kong

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Tài liệu tham khảo

Chandrasekharappa, 1989, Nonlinear dynamic damped response of an orthotropic circular plate, Comput. Struct., 33, 1163, 10.1016/0045-7949(89)90455-0

Chandrashekhara, 1994, Non-linear static and dynamic analysis of heated laminated plates: a finite element approach, Compos. Sci. Technol., 51, 85, 10.1016/0266-3538(94)90159-7

Chang, 1996, Nonlinear dynamic response of a nonuniform orthotropic circular plate under random excitation, Comput. Struct., 60, 113, 10.1016/0045-7949(95)00367-3

Haterbouch, 2005, Geometrically nonlinear free vibrations of simply supported isotropic thin circular plates, J. Sound Vib., 280, 903, 10.1016/j.jsv.2003.12.051

Nerantzaki, 2007, Nonlinear dynamic analysis of circular plates with varying thickness, Arch. Appl. Mech., 77, 381, 10.1007/s00419-006-0097-6

Celep, 2007, Axisymmetric forced vibrations of an elastic free circular plate on a tensionless two parameter foundation, J. Sound Vib., 301, 495, 10.1016/j.jsv.2006.09.029

Sathyamorth, 1987, Nonlinear vibration analysis of plates: a review and survey of current developments, Appl. Mech. Rev., 40, 1533

Nath, 1982, Large amplitude response of circular plates on elastic foundations, Int. J. Non-Linear Mech., 17, 285, 10.1016/0020-7462(82)90028-2

Nath, 1986, Nonlinear dynamic response of rectangular plates on linear elastic foundation, Comput. Struct., 24, 391, 10.1016/0045-7949(86)90316-0

Chen, 2000, Nonlinear transient analysis of rectangular composite laminated plates, Compos. Struct., 49, 129, 10.1016/S0263-8223(99)00108-7

Wu, 1999, A differential quadrature as a numerical method to solve differential equations, Comput. Mech., 24, 197, 10.1007/s004660050452

Yang, 2007, Thermo-electro-mechanical characteristics of functionally graded piezoelectric actuator, Smart Mater. Struct., 16, 784, 10.1088/0964-1726/16/3/028

Fung, 2002, Stability and accuracy of differential quadrature method in solving dynamic problems, Comput. Meth. Appl. Mech. Eng., 191, 1311, 10.1016/S0045-7825(01)00324-3

Civalek, 2007, Nonlinear analysis of thin rectangular plates on Winkler–Pasternak elastic foundations by DSC–HDQ methods, Appl. Math. Model., 31, 606, 10.1016/j.apm.2005.11.023

Chia, 1980

Bellman, 1971, Differential quadrature and long-term integration, J. Math. Anal. Appl., 34, 235, 10.1016/0022-247X(71)90110-7

C.W. Bert, S.K. Jang, A.J. Striz, New methods for analyzing vibration of structural components, in: Proceedings of the AIAA Dynamics Specialist Conference Monterey, CA, USA, Part 2, 1987, pp. 936–943.

Bert, 1996, Differential quadrature method in computational mechanics: a review, Appl. Mech. Rev., 49, 1, 10.1115/1.3101882

Peng, 1998, A semi-analytic DQ method and time collocation point method for structural dynamics, Chinese J. Comput. Phys., 15, 240

Shu, 1997, A generalized approach for implementing general boundary conditions in the GDQ free vibration analysis of plates, Int. J. Solids Struct., 34, 837, 10.1016/S0020-7683(96)00056-X

Liew, 1999, Comparative accuracy of DQ and HDQ methods for three-dimensional vibration analysis of rectangular plates, Int. J. Numer. Methods Eng., 45, 1831, 10.1002/(SICI)1097-0207(19990830)45:12<1831::AID-NME656>3.0.CO;2-W

Wu, 2001, Free vibration analysis of circular plates with variable thickness by the generalized differential quadrature rule, Int. J. Solids Struct., 38, 7967, 10.1016/S0020-7683(01)00077-4

Liew, 2002, Differential quadrature-layerwise modeling technique for three-dimensional analysis of cross-ply laminated plates of various edge-supports, Comput. Methods Appl. Mech. Eng., 191, 3811, 10.1016/S0045-7825(02)00309-2

Yang, 2003, Large amplitude vibration of thermo-electro-mechanically stressed FGM laminated plates, Comput. Methods Appl. Mech. Eng., 192, 3861, 10.1016/S0045-7825(03)00387-6

Malekzadeh, 2004, A semi-analytical DQEM for free vibration analysis of thick plates with two opposite edges simply supported, Comput. Methods Appl. Mech. Eng., 193, 4781, 10.1016/j.cma.2004.05.005

Yang, 2006, Imperfection sensitivity of the post-buckling behavior of higher-order shear deformable functionally graded plates, Int. J. Solids Struct., 43, 5247, 10.1016/j.ijsolstr.2005.06.061

MH, 2006, Mechanical analysis of non-uniform beams resting on nonlinear elastic foundation by the differential quadrature method, Struct. Eng. Mech., 22, 279, 10.12989/sem.2006.22.3.279

Civalek, 2007, Harmonic differential quadrature-finite differences coupled approaches for geometrically nonlinear static and dynamic analysis of rectangular plates on elastic foundation, J. Sound Vib., 294, 37