各向异性多层扁壳的大挠度方程
The Finite Deflection Equations of Anisotropic Laminated Shallow Shells
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摘要: 本文在文献[1]的基础上加以改进和推广,探讨各向异性多层扁壳在静载、动载和热载作用下的大挠度方程.考虑了最一般的弯曲拉伸间的耦合关系和沿厚度方向的剪切变形.给出了平衡方程、边界条件和初始条件.得到了以广义位移u0,v0,фx,фy和ω表示的微分方程组.由此可求解应力、变形、稳定和振动等问题.对于若干常见情况,给出了简化的方程和方法.Abstract: In this paper, basing on ref. [1] we improved and extended that which is concerned with a view of investigating the finite deflection equations of anisotro-pic laminated shallow shells subjected to static loads, dynamic loads and thermal loads. We have considered the most general bending-stretching couplings and the shear deformations in the thickness direction, and derived the equilibrium equations, boundary conditions and initial conditions. The differential equations expressed in terms of generalized displacements u0 v0 φx φy and w are obtained. From them, we could solve the problems of stress analysis,deformation,stability and vibration. For some commonly encountered cases, we derived the simplified equations and methods.
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