本文讨论了动力学问题中的几种边界元法,着重阐述了用静力Kelvin基本解和用一个简单函数系列表示惯性项以建立动力学问题的边界积分方程的方法;同时,用边界元离散技术求解动水压力,以实现流固耦合。文中给出了用边界元求解系统自振特性和在地震荷载作用下动力反应的数值技术。作为应用实例,文末分析了一个重力坝和水库,地基动力相互作用问题,说明这种方法在结构动力分析中比有限元法有独特的优越性,具有良好的应用前景。 This paper discusses some of the boundary element methods in the dynamics problem and focuses on the method of using the static Kelvin basic solution and expressing a inertial term with a simple series of functions to establish the boundary integral equation of the dynamics problem; The technique solves the hydrodynamic pressure to achieve fluid-structure coupling. The numerical techniques for solving the natural vibration characteristics of the system and the dynamic response under the action of seismic loads are presented in this paper. As an example of application, at the end of the paper, a gravity dam and reservoir, the dynamic interaction of the foundation is analyzed, which shows that this method has unique advantages over the finite element method in structural dynamic analysis and has a good application prospect.