摘要
在线弹性理论和动力问题有限单元法基本理论的基础上,完成了Newmark法和位移三点递推法求解线弹性无界域动力响应问题的8节点等参数单元微机计算程序,建立了平面问题和轴对称问题的统一求解格式;建立起了简化的无界元刚度、质量矩阵计算模式,并推导出了新的适应于矩形无界元的“惯性力刚度矩阵”。
Based upon elasto-dynamics and the fundamentals of FEd, this paper designs aFEM program, in which the isoparametric elements with eight nodes is used, for elasticand dynamic problems with infinite boundary by using Newmarks, and 'the three-parameter method', and establishes a formulation both for two-demensional and also foraxisymmetric problems and also establishes the simplified arithmetic model for the stiffand mass matrixes of quadrilateral four-node infinite elements. A new inertiaforce stiffness metrix compatible with the Lumped mass matrix is derived for rectangular infiniteelements.
关键词
有限单元法
动力响应
岩体
矩阵
finite element methods (FEM ), isoparametric elements, inertiaforcestiffness matrix /lumped mass