高面板坝地震动三维非一致输入的波函数组合法

Wave Function Combination Method Used for Three-dimensional Nonuniform Input of Earthquake Motion in High Concrete-faced Rockfill Dam

提出三维问题的波函数组合法求解不规则河谷的散射问题,应用到高面板坝动力有限元计算的地震动输入中,可以满足非一致输入的要求,并回避人工边界对外行波的反射问题。重点介绍三维问题的波函数组合法的理论推导和程序的算例验证,并给出将该方法应用到高面板坝地震动输入的基本步骤。

The scattering problem of elastic waves is of great engineering significance,especially in earthquake engineering.Frequently,the response of the scatterer is needed to evaluate the safety of structures during earthquakes.The ground motion can be used as dynamic input for the finiteelement method calculation,which is a way to realize the non-uniform input.This article puts forward the wave function combination method for a three-dimensional（3D）problem to solve the irregular valley scattering problem.The application of the earthquake input to the dynamic finiteelement calculation for a high-face rockfill dam can meet the requirement for non-uniform input and,at the same time,avoid the problem of the reflection of the outward wave by the artificial boundary.The theoretical derivation of the wave function combination method for the 3Dproblem and the validation of the program are introduced,as are the basic steps needed to apply this method to the earthquake input.