| 弹性力学非线性反演方法概述 |
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| 引用本文： | 王登刚,刘迎曦,李守巨.弹性力学非线性反演方法概述[J].力学进展,2003,33(2):166-174. |
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| 作者姓名： | 王登刚 刘迎曦 李守巨 |
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| 作者单位： | 1. 上海交通大学建筑工程与力学学院,上海,200030
2. 大连理工大学工程力学系,大连,116024 |
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| 基金项目： | 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 |
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| 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.
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| 关 键 词： | 非线性反演方法 非线性 不适定性 |
| 修稿时间： | 2001年10月24 |
SURVEY ON NONLINEAR INVERSION METHODS IN ELASTOMECHANICS |
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| WANG Denggang LIU Yingxi LI Shouju
School of Civil Engineering and Mechanics,Shanghai Jiaotong University,Shanghai ,China.SURVEY ON NONLINEAR INVERSION METHODS IN ELASTOMECHANICS[J].Advances in Mechanics,2003,33(2):166-174. |
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| Authors: | WANG Denggang LIU Yingxi LI Shouju
School of Civil Engineering and Mechanics Shanghai Jiaotong University Shanghai China |
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| Institution: | WANG Denggang LIU Yingxi LI Shouju
School of Civil Engineering and Mechanics,Shanghai Jiaotong University,Shanghai 200030,China Department of Engineering Mechanics,Dalian University of Technology,Dalian 116024,China |
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| Abstract: | 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. |
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| Keywords: | nonlinear inversion method nonlinearity ill-posedness inverse problem |
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