摘要
本文给出了弹性薄壳大变形时应变与位移之间的精确关系。经过合理的简化,给出了壳的挠度与厚度同级的大变形基本公式。当薄壳为柱形且作柱状弯曲时,精确地求得了壳的挠度与长度同级的大变形基本公式。这些公式符合实际和便于应用。用解析法求得了无限长园柱壳一边固定,另一边受力偶作用的精确解。用能量法求得了无限长条板的近似解。
This paper gives the exact relations between strains and displacements for large deformation of elastic thin shells. The fundamental formula of large deformation, when the deflection is of the same order as the thickness of the shell, is derived based on rational simplification. The fundamental formula of large deformation, when the deflection is of the same order as the length of the shell, is derived exactly for cylindrical shell under cylindrical deformation. These formulas are in accord with practice and convenient to use. The exact solution of infinitely long circular cylindrical shell with one end fixed, the other end loaded by a couple is obtained. The approximate solution of infinitely long plane strip is obtained by the method of energy.
出处
《工程力学》
EI
CSCD
北大核心
2002年第1期66-72,共7页
Engineering Mechanics
基金
国家自然科学基金资助项目(19872076)
