摘要
本文采用有限元——Riccati 传递矩阵组合法分析结构在各种激励下的几何非线性动力响应。时间积分采用Wilson-θ法,对每个时间步长的平衡迭代采用修正的Newton-Raphson 方法。为了避免变换矩阵连续相乘所产生的误差传递,本文对增量状态向量采用Riccati 变换。编制了在微型机IBM-PC-AT 上实现该方法的计算机程序TNONDL-W。最后,本文给出了两个例子的计算结果。表明本文方法及所编制程序的有效性。
The combined finite element-Riccati transfer matrix method is applied to thetransient analysis of structures with large displacement under various excitations.The Wilson-θ method is employed for time integration and the modified Newton-Raphson method is employed for equilibrium iteration in each time step.In thispaper,Riccati transformation of state vectors is proposed to avoid the propagationof round off errors occurred in recursive multiplications of the transfer and pointmatrices.A program TNONDL—W based on this method on microcomputer IBM-PC/ATis developed.Finally numerical examples are presented to demonstrate the accuracyas well as the capability of the proposed method for transient analysis of structureswith large displacemen't under various excitations.
出处
《振动工程学报》
EI
CSCD
1991年第2期82-87,共6页
Journal of Vibration Engineering
关键词
有限元法
传递矩阵
动力响应
finite element
transfer matrix
non-linearity
dynamic response
time integration
