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The boundary element method is used for the modal analysis of free vibration of 2-Dcomposite structures in this paper.Since the particular solution method is used to treat the terms ofbody forces(inertial forces)in the equation of motion,only static fundamental solutions are needed insolving the problem.For an isotropic cantilever beam,the numerical results obtained by using theBEM presented in this paper are in good agreement,with those of using FEM or other BEM,but thisBEM can also be used to analyze problems for anisotropic materials.For simply supported compositelaminated beams,the comparisons of the numerical results obtained by this method with the analyticalresults obtained by 1-D laminated beam theory indicate that if the ratio of length/thickness is greaterthan 20,the results of the two methods are in good agreement,but if the ratio of length/thickness isless than 20,big errors will occur for 1-D laminated beam theory.
The boundary element method is used for the modal analysis of free vibration of 2-Dcomposite structures in this paper. Since the particular solution method is used to treat the terms of body forces (inertial forces) in the equation of motion, only static fundamental solutions are was insolving the problem. For an isotropic cantilever beam, the numerical results obtained by using theBEM presented in this paper are in good agreement, with those of using FEM or other BEM, but thisBEM can also be used to analyze problems for anisotropic materials. For simply supported compositelaminated beams, the comparisons of the numerical results obtained by this method with the analyticalresults obtained by 1-D laminated beam theory indicate that if the ratio of length / thickness is greaterthan 20, the results of the two methods are in good agreement, but if the ratio of length / thickness isless than 20, big errors will occur for 1-D laminated beam theory.