摘要
本文从退化壳理论[6]出发构造了任意曲面壳体的四边形有限元线法[1][2]单元。该单元满足 连续，为协调单元。对于所构造的单元，本文从最小势能原理出发推导出用该单元作壳体静力计算的控制微分方程和边界条件，得到一致的线法方程体系。全文共分两篇，此为上篇，主要介绍基本理论，数值算例将在下篇中给出。
In this paper, a class of quadrilateral FEMOL (Finite Element Method of Lines) elements for arbitrarily curved shells are constructed based on degenerate shell theory. These elements are fully conforming elements with continuity. The governing ordinary differential equations and the associated boundary conditions for static analysis using the above elements are derived, being in a consistent form as the FEMOL equation system derived from other problems. The present paper addresses the basic theory, while a number of numerical examples will be given in a companion paper.
出处
《工程力学》
EI
CSCD
北大核心
2002年第3期20-29,共10页
Engineering Mechanics
基金
国家自然科学基金(59478001)
杰出青年科学基金资助项目(59525813)
