非线性液固耦合系统的一个广义变分原理

A Generalized Variational Principle for Nonlinear Solid-Liquid Interaction Systems

基于势流理论，在液体小幅度流动的前提下，考虑水中结构大变形的影响，对于具有自由液面的非线性液固耦合系统，提出了一个广义变分原理，它为这类问题的有限元数值分析提供了有力的理论依据．

Based on the potential flow theory and linearized free surface condition, a generalized variational principle for nonlinear solid-liquid systems in which the finite deformation of the elastic solidembedded in the liquid is taken into account is presented. It can be seen that the existing variationalprinciples are just special cases of what obtained by the authors. The principle proposed would providea basis for deriving a variety of numerical methods to solve the nonlinear solid-liquid interaction problems.