摘要
本文应用广义变分原理,构造了适合正交各向异性薄板静动力分析的矩形单元MR—12.计算结果表明,基于广义变分原理的非协调元具有很好的收敛性和计算精度.证明了广义变分原理在建立非协调单元中的有效性和优越性.MR—12单元的计算格式和普通矩形板元无原则性的差别,极易推广使用.
Based on generalized variatjonal principles, an element called MR-12 was constructed for the static and dynamic analysis of thin plates with orthogonal aniso-tropy. Numerical results showed that this incompatible element converges very rapidly and has good accuracy. It was demonstrated that generalized variational principles are useful and effective in founding incompatible element.
Moreover, element MR-12 is easy for implementation since it does not differ very much from the common rectangular element. R-12 of thin plate.
出处
《应用数学和力学》
CSCD
北大核心
1989年第11期947-953,共7页
Applied Mathematics and Mechanics
