考虑自由面线性波的流-固耦合动力分析的两个变分公式

 用数值方法求解流-固耦合问题有拉氏法与欧拉法两种。对于拉氏法,笔者在文献1,2]中给出了有关变分公式并对位移模型进行了数值研究。对于欧拉法,多数作者忽略自由面波用Galerkin法来构造计算模型。本文给出计及自由面波时流-固耦合分析欧拉法的两个变分公式。

TWO VARIATIONAL FORMULATIONS FOR DYNAMIC ANALYSIS OF COUPLED FLUID-SOLID INTERACTION PROBLEMS WITH LINEARIZED FREE SURFACE WAVE CONSIDERED

Two variational formulations for dynamic analysis of linear coupled fluid-solid interaction problems are presented in this paper. The linearized wave on free surface of fluid is considered in the formulations. The displacement in solid and the potential of velocity in fluid are used as the arguments of the first functional. The arguments in the second functional are the acceleration in solid and the dynamic pressure in fluid. A brief discussion on the use of the functi-onals in finite element methods is given at the end of the paper.