基于波动能量传播考虑的边界离散误差分析  

ERROR ANALYSIS FOR BOUNDARY DISCRETIZATION BASED UPON CONSIDERATION OF WAVE ENERGY TRANSMISSION

作　　者：傅铁铭 熊建国[1] 

机构地区：[1]国家地震局工程力学研究所

出　　处：《地震工程与工程振动》1993年第1期16-23,共8页Earthquake Engineering and Engineering Dynamics

基　　金：地震科学联合基金 (91149)

摘　　要：能量的传播是弹性波的一个重要特征。据此,本文从最基本的平面谐波入手,研究边界离散对波动能量传播误差的影响,推导了平面谐波及稳态和瞬态波场在具有不均匀离散网格的整个边界上的离散误差与局部离散误差的关系,并估计了误差上限。通过计算分析可以看出,二次边界单元明显地优于线性边界单元,二维与三维情形的边界离散误差上限是相同的。The energy transmission is one of the important characteristics of the elastic wave. Based upon it,the effect of boundary discretization on the error in wave energy transmission is studied,the relationship formulations between the global and local errors on the boundary with non-uniform discretization grid are derived for the planar harmonic wave and the complicated wave fields in the frequency and time domains,and the upper limits of error are estimated. By calculation and analysis, the conclusions may be reached that the boundary discretization error for the quadratic boundary elements is evidently lower than one for the linear boundary elements,and the upper limit of boundary discretization error in 3D is the same as one in 2D.

关 键 词：地震波 波动 能量 边界离散 误差 

分 类 号：P315.3[天文地球—地震学]