【作者】 管悦； 钟宏志；

【Author】 GUAN Yue;ZHONG Hongzhi;Department of Civil Engineering,Tsinghua University;

【机构】 清华大学土木工程系；

【摘要】 基于旋转薄壳理论,采用求积元法,建立了求积元法求解环壳问题的单元列式,并对圆环壳、椭圆环壳的静力及自由振动问题进行了分析.数值算例与精确解及有限元结果相对比,证明了求积元法分析此类连续环壳问题的准确和高效性.同时,分析结果表明,椭圆环壳长短轴的比值尼对壳体的受力特性及求积元法的收敛率有显著的影响.更多还原

【Abstract】 A toroidal weak form quadrature shell element is established based on the thin shell theory.Some static and free vibration problems of circular and elliptic toroidal shells are studied.High accuracy and computational efficiency are achieved in the quadrature element analysis of numerical examples as compared with the finite element and analytical solutions.It is found that the ratio between the major and minor axes has a significant influence on the accuracy and the convergence rate for elliptic toroidal shells.更多还原