摘要
级数解边界积分法是利用相应的齐次微分方程的解完备系作权函数来建立边界积分方程。本文采用级数解边界积分法并选取傅氏级数作试函数求解SH波散射问题,并将计算结果同解析解或其它数值方法的解做了比较。结果表明,本文方法计算简单、精度较高而且节省机时。文中还提出了用傅氏级数拟合复杂边界的方法。
In the boundary integration method using series solution the boundary integral equation is established by using complete set of the solution to the associate homogeneous differentia] equations as weighted functions. In the present paper this method is adopted to solve the SH wave scattering problems combining with use of Fourier series as trial functions. Comparison has been made between numerical results obtained by analytical solutions and other numerical methods. It is shown that the proposed method has the advantages of simple calculation,sufficient accuracy and time saving in computation. Besides, a technique based on using Fourier series to fill complicated boundaries is also presented in the paper.
出处
《地震工程与工程振动》
CSCD
北大核心
1991年第2期20-28,共9页
Earthquake Engineering and Engineering Dynamics
基金
国家自然科学基金
