摘要
考虑正演模型和观测数据确定性性质的不同,对弹性力学反问题解的定义进行了归纳总结。非线性和不适定性是反问题理论研究和工程应用的瓶颈问题,对反问题非线性和不适定性的有效处理方法进行了总结。并在此基础上介绍了非线性反演问题求解方法的一些最新进展,对弹性力学非线性反演方法进行了归纳分类。
The defineteness of the solution of inverse problems in elastomechanics are summarized and class-fied systemically according to the difference of deterministic characteristics of the problem and measured data. Nonlinearity and ill-posedness are the bottle-neck in inverse problem's theoretical studies and engineering applications. The effective ways to deal with both the nonlinearity and ill-posedness are summarized. Some recent advances of nonlinear inversion methods in elastomechanics are briefly reviewed. The classification of nonlinear inversion methods is also discussed in this paper.
出处
《力学进展》
EI
CSCD
北大核心
2003年第2期166-174,共9页
Advances in Mechanics
基金
中国博士后科学基金
国家杰出青年科学基金(59825105)
国家自然科学基金(110072014)资助项目
