弹性波散射反演的一种新思路  

NEW STRATEGY IN SOLVING INVERSE SCATTERING PROBLEMS OF ELASTIC WAVES

作　　者：史文谱[1] 李翠华 张春萍[1] 方世杰[1] 徐勤花[1] 

机构地区：[1]烟台大学机电汽车工程学院,烟台264005 [2]烟台工程职业技术学院教务处,烟台264006

出　　处：《机械强度》2011年第6期862-867,共6页Journal of Mechanical Strength

基　　金：山东省科技攻关项目(2006GG3210001);山东省自然科学基金(ZR2010AM002)资助~~

摘　　要：针对半空间界面半圆形凹陷和介质内圆孔对SH(shearing horizontal)波散射的反演问题提出一种优化求解方法。具体分析两种情况下弹性波散射反演问题的模型和特点,给出反演目标函数和反演数学模型,利用黄金分割法或对分法进行寻优求解。算例结果表明方法的可行性。文中方法对研究得比较成熟的弹性波散射正演问题对应的反演问题的求解具有应用价值和理论指导意义。An new optimization method in solving the inverse SH（shearing horizontal）-wave scattering problems of the half circular cavity on the boundary of the half space and the circular cavity shallow-embedded in the half space was put forward.The model and characteristics of the two kinds of inverse problems of the elastic waves were analyzed concretely,the optimization objective function and the inverse mathematical model are given,the golden section method or the half-division method was used to solve the inverse problems,the results of the given examples show the feasibility of the method.This method has application value and theoretical instruction meaning to the solution of the inverse scattering problems of elastic waves which positive problems are well studied.

关 键 词：半空间问题 SH(shearing horizontal)波散射 反演问题 优化 黄金分割法 

分 类 号：O241.82[理学—计算数学] O347.4[理学—数学]