优化的无单元法分析复合层板稳定问题  

Optimized element-free method for analyzing the stability of composite laminates

作　　者：肖勇刚 王侃 陈文科 XIAO Yong-gang;WANG Kan;CHEN Wen-ke(School of Civil Engineering,Changsha University of Science&Technology,Changsha 410114,China)

机构地区：[1]长沙理工大学土木工程学院

出　　处：《交通科学与工程》2019年第3期28-32,共5页Journal of Transport Science and Engineering

摘　　要：采用schmidit正交化优化的无单元伽辽金法,分析了复合层板的稳定。基于罚函数并引入罚参数,实现本质边界条件。再利用最小二乘法和变分原理,推导出复合层板的几何刚度矩阵。计算结果表明:运用优化的无单元法分析复合层板稳定具有流程简化、求解效率高及计算结果精确度高等优点。The stability of composite laminates is analyzed by the element-free Galerkin method optimized by schmidit orthogonalization. The penalty function is introduced by the penalty function method to realize the essential boundary conditions, and the geometric stiffness matrix of the composite laminate is derived by the least squares method and the variational principle. The comparative analysis of the examples shows that the optimized element-free method for solving the stability problem of composite laminates has the advantages of simplifying the processing flow, improving the efficiency of the solution and the high precision of the results.

关 键 词：无单元法 复合层板 罚方法 稳定性 正交化 

分 类 号：O343[理学—固体力学]