高效有限元与传递矩阵组合法(英文)

FETM法不仅能降低计算内存和计算时间,而且还能处理多维振动问题。但只使用定步长搜索固有频率,其步长选择十分困难。若步长过大,易造成漏根;步长过小,方法失效。其次,这一方法不能应用到静态问题。本文讨论一种高效有限元与传递矩阵组合法(EFETM)。引入状态矢量和它的导数建立了传递元件的新关系。使用这种关系能方便地求解静、动力学问题。在结构固有动特性的求解中首次使用一个具有单调收敛的频率迭代式,克服了FETM、有限元的不足。本文还讨论了一种处理具有复杂形状和边界条件的动静结构问题的新方法。在此基础上,本法还能应用到更广泛的力学系统。

EFFICIENCY FINITE ELEMENT-TRANSFER MATRIX METHOD

FETM method can reduce the amount of computer storage and computing time,and can be applied to analyse multidimensional problems.But this method uses a fixed increment to search natural frequencies and the choice of the increment is difficult.If too large a value is chosen,close roots will be missed,whilst,if too small,the method will be inefficient.Next,FETM asnot been used for complex static and dynamic structural problems.This paper presents fficiency finite element-transfer matrix method(EFETM).The methoduses state vectors and their erivatives.Thus the relations between the state vectors of two sectionsand a new transfer quation are built.Using these parameters,a new type of iterative formulais established to vercome the deficiencies of FETM.The treatment of static and dynamic structuralproblems with omplex shape and boundary conditions is original.This method can be applied tomany different ystems.