贮箱液固耦合振动分析的数值研究

A NUMERICAL STUDY ON COUPLED DYNAMIC ANALYSIS OF LIQUID CONTAINERS

线性液固耦合系统有限元分析的理论研究比较充分。但有关理论结果的数值研究仍需深入,以便能生成工程中实用的有限元液固耦合分析系统。位移法(或拟弹性法)因其零能模式的分离问题,带来了实用上的困难。压力-位移模式需要对有限元矩阵对称化。lrons曾提出一种对称化方法,但在数值实施中往往无法应用。文献[2]、文献[6]曾给出了另外三种对称化途径,但还没有进行数值上的探讨。本文目的在于探讨数值上可行的对称化方法,生成有关程序块.以便发展成为压力-位移模式的工程应用软件。作为算例,研究了贮箱的耦合振动问题,重点考虑了自由面波的影响。

Some numerical difficulties of using Irons method for symmetrizing the finite-element equation with the pressure-displacement model are discussed. One of the symmetrization methods presented by the anthers is adopted and the related computer program is written. By use of this program, the coupled dynamic problems of liquid containers are numerically studied. Emphasis is put on the effects of free surface wave on the results of computation.