结构几何非线性分析的一种修正的有限元迁移矩阵法

Large deflection analysis of structures by an improved finite element-transfer matrix method

本文提出一种修正的有限元法与迁移矩阵法相结合的方法用于结构几何非线性劳力分析。该法可克服一般的ＦＥ－ＴＭ法只适用于规则边界结构的缺点，同时可避免由于传递矩阵连续相乘而产生的误差传递。采用修正的步长增量法与修正的牛顿。拉斐逊方法相结合的算法于非线性问题的求解，编制了在ＩＢＭ－ＰＣ／ＡＴ上实现该方法的计算机程序ＴＮＯＮＤＬＷ１，数值计算结果表明了本文方法及所编制程序的有效性。

An improved finite element-transfer matrk method is presented for the static analysis of the structures with large displacement in order to overcome the faults that FE-TM is generally ap-plied to structures with regular boundary. In this method,the propagation of round-offs errors oc-curing in recursive multiplication of the transfer and point matrices is avoided.A combined im-proved step incremental method with modified Newton- Raphson method is employed for the analysis of nonlinear problems. A program TNONDL-W1 is developed and numerical examples are presented to demonstrate the accuracy as well as the capability of the proposed method.