【摘要】 本文应用有限元法计算船体空间构架振动。为了在给定的计算机容量下计算更多结点和自由度的构架,本文在矩阵元素储存、结点约束处理以及矩阵特征值问题求解等方面采取了一系列办法。其中在矩阵特征值问题求解方面,本文把矩阵自动分块 Gauss 消去法,利用 Sturm 序列特性的特征值分离法与分块逆迭代法三者相结合,制定了自动分块行列式收查法,显著提高了程序的计算能力,大大扩大了程序能计算的构架的结点数和自由度数。本程序并能灵活地处理各种结点约束,可方便地应用于船体空间构架和平面构架振动计算。本文还将有限元法计算结果与模型试验、实船激振试验进行了比较,两者十分一致。更多还原

【Abstract】 In this paper,the finite element method is applied to calculate the vibra-tion of ship space frames.In order to reduce the memory capacity which thecomputer program requires,authors took some measures in storing elementsof matrices,in treating the nodal constraint and in resolving eigenproblems.A procedure for solving eigenproblems was proposed by combining Gauss eli-mination technique by block partitioning,technique for separation of eigen-values,based on the Sturm seqence property,and vector inverse iteration byblock partitioning.Using this procedure,the memory capacity required by theprogram is considerably reduced.In addition,this program can be used to sol-ve the problems dealing with various type of nodal constraint including stiffand elastic.It is convenient to use this program for calculating vibration ofship space frames and planar frames.The results,calculated by the finite element method,are compared withthose from model tests and full-scale test.They are in good agreement.更多还原