厚板の変形に関する近似理論(第3報) : 積層板の場合

概要

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A new systematic method by which approximate equations of deformation of laminate can be derived in arbitrary accuracy considering the thickness of each layer is proposed by extending the method developed for deformation of homogeneous thick plate in the previous papers. The approximate equations presented in this paper are solved for a laminate under sinusoidally distributed load at the upper surface, and the solutions are compared with the exact one by numerical calculation. The following results are obtained : (1) Existence of a layer with large thickness or strong anisotropic property in a laminate causes a reduction of accuracy of approximate solutions in the layer, and it has an influence on the other layers in displacement components but doesn't in stress components. (2) The accuracy of approximate solution in such a layer can be improved to about the same accuracy as the rest by dividing the layer into several ones with appropriate thickness or by adopting adequate higher order approximation for the layer.
公益社団法人精密工学会の論文
1989-09-05