Abstract
The purpose of this paper is to apply the theoretical model developed in References [1] 08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005200650066003400310032003700320039003100350035000000 -[6] 08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005200650066003400310032003700320039003100360030000000 in order to analyze the geometrically nonlinear free dynamic response of C-C-SS-SS rectangular CFRP symmetrically laminated plates so as to investigate the effect of nonlinearity on the nonlinear resonance frequencies, the nonlinear fundamental mode shape and associated bending stress patterns at large vibration amplitudes. Various values of the plate aspect ratio and the amplitude of vibrations will be considered, and useful numerical data also are provided.
Highlights
The geometrically nonlinear vibration of structures is of continuing interest, due to the tendency to build more reliable structures, with high strength, high stiffness, and low weight such as composites
The nonlinear free vibrations of C-C-SS-SS rectangular symmetrically laminated plates are studied in this paper rectangular plate corresponding to
The objective was to determine the effects of large vibration amplitudes on the first nonlinear mode shape, the fundamental natural frequency, and the associated flexural stress distribution
Summary
The geometrically nonlinear vibration of structures is of continuing interest, due to the tendency to build more reliable structures, with high strength, high stiffness, and low weight such as composites. The large displacement amplitudes induce geometrical nonlinearity that is mainly caused by the development of in-plane membrane stresses In such cases, one of the basic assumptions of the linear vibra-. It is of crucial theoretical and practical interest, to develop new approaches which take into account the membrane stress effect, neglected in the classical treatment of plate vibrations. The purpose of this paper is to apply the theoretical model developed in references [1]-[3] in order to analyze the geometrically nonlinear free dynamic response of C-C-SS-SS rectangular CFRP symmetrically laminated plates so as to investigate the effect of nonlinearity on the nonlinear resonance frequencies, the nonlinear fundamental mode shape and associated bending stress patterns at large vibration amplitudes. General Formulation of the Geometrically Nonlinear Free Vibration of C-C-SS-SS Symmetrically Laminated Rectangular Composite Plates
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