摘要
本文提出了一种基于动坐标的、适用于梁大变形分析的传递函数方法。在本方法中 ,一个复杂系统被分为若干一维子系统 ,各子系统根据梁的有限变形理论进行推导。推导中把轴力看作子系统的参数 ,引入状态向量后 ,可以将子系统的控制方程改写为含参状态空间的形式 ,然后利用传递函数方法求解。系统的合成借鉴了有限元的处理方法 ,引入了动坐标关系 ,使方法可以用于对大变形的分析。文后给出的算例表明本文方法有很高的精度和很好的收敛性。
Distributed transfer function method for geometric non linear analysis of frame and truss structures is developed with moving coordinates.In this method,a structure is divided into one dimensional subsystems such as beams,bars,and each subsystem is analyzed by finite deformation theory.In the analysis,axial force is look as a parameter of the subsystem,and solved separately.With the introduction of state vectors,the equilibrium equations of the subsystem are cast into state space form,and solved by distributed transfer function method.The assembly of subsystems is similar to that of FEM.Moving coordinates is defined so that this method can be used to large deformation problems.Numerical examples show that this method has the characteristics of high precision and good convergence.
出处
《强度与环境》
2001年第2期12-18,共7页
Structure & Environment Engineering
基金
国家杰出青年科学基金!资助 ( 1 992 52 0 9)
