用Lagrangian水体位移元求解坝体与库水的动力耦合问题

The Use of Lagrangian Displacement Type Fluid Element to Dam-Reservoir Dynamic Interaction Analysis

从水体基本方程出发，建立Ｌａｇｒａｎｇｉａｎ水体位移有限元支配方程，推导了水体位移元的基本计算公式，并对平面９结点水体位移元的自振特性和数值积分进行了深入研究，在单元劲度公式中采用降阶积分技术和引进旋转约束系数等消除全部不需要的零能振型．最后，对Ｋｏｙｉｎａ重力坝进行了地震响应分析。

On the basis of the basic equation, the goverming equation of lagrangiandisplacement type fluid finite element is established basic calculation formulas are deduced.A deep study of natural vibration of nine-node plain displacement element of water and itsnumerical integration is made. The use of reduced integration techniques to the elementstiffness and the introduction of rotation constraints eliminate all unnecessary zero-energymodes. Finally, seismic response analysis of Koyina gravity dam is conducted.