摘要
本文抛弃任何有关位移或应力模式的假设,在柱坐标系下对圆柱型正交异性体建立其状态方程。对层合圆柱厚壳利用Cayley-Hamilton定理一次求解全部未知量。无论层数多少,最后都归结为求解三元一次代数方程组。此解满足所有弹性力学方程并计及了全部弹性常数,可得到任意需要的精度。
Giving up any assumptions about displacement models and stress distribution, the state equatiens for cylindrical anisotropy are established in a cylindrical coordinate system .All of the unknown quantities for the thick laminated circular cylindrical shell can be solved by means of Cayley-Hamilton theorem. No matter how many layers are Considered , the Calculation always leads to solving a set of linear algebraic equations of 3rd order .Every equation of elasticity can be satisfied and all the elastic constants can also be taken into account . Furthermore . the arbitrary Precis -ion that we need can be obtained .
出处
《合肥工业大学学报（自然科学版）》
CAS
CSCD
1990年第1期20-30,共11页
Journal of Hefei University of Technology：Natural Science
关键词
正交异性体
弹性力学
层合圆柱厚壳
Cylindrical anisotropy, thick laminated circular cylindrieal shell, state equations, Cayley-Hamilton theorem.
