摘要
从极限分析和薄壳力学的基本理论出发，推导出了薄壳结构极限载荷上限解的非线性规划表达式，该上限解是以薄壳中面的广义内力和广义应变表示的，它可避免一般极限分析理论中考虑三维应力和应变给实际求解带来的困难，简例一则，显示了本文方法的简便和正确。
he formulations for the mathematical programming of upper limit loads of thin shell structures are derived based on the generalized theory of limit analysis and thin shell theory.They are expressed by generalized internal forces and strain velocities of the middle faces of thin shells,so that the difficulties caused by 3-Dstresqes and strain velocities in generalized limit theory can be avoided. It is shown that all the existing results are approximate forms of present upper bound formula, The errors caused by such approximations are difficult to estimate so the accuracy cannot be guaranteed.An example of limit analysis shows that the present formula is simple and correct.
出处
《河海大学学报（自然科学版）》
CAS
CSCD
1994年第4期67-72,共6页
Journal of Hohai University(Natural Sciences)
关键词
薄壳结构
塑性极限分析
力学
Thin shell structures Limit analysis Von Mises yield criterion Upper limit load Nonlinear mathematical programming
