| 薛齐文,张军,魏伟.基于同伦技术的偶应力反问题求解[J].计算力学学报,2011,28(2):243~247 |
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| 基于同伦技术的偶应力反问题求解 |
| Solving inverse couple stress problem via homotopy method |
| 投稿时间：2009-10-29 修订日期：2010-07-08 |
| DOI：10.7511/jslx201102016 |
| 中文关键词: 偶应力 反问题 Bregman函数 同伦算法 |
| 英文关键词:couple stress inverse problem bregman function homotopy method |
| 基金项目:国家自然科学基金(10802015);辽宁省重点实验室基金(2008S036);工业装备结构分析重点实验室开放基金(GZ0811)资助项目. |
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| 中文摘要: |
| 引入Bregman距离构造同伦函数,建立偶应力反问题的一种求解模式,可以对偶应力理论相关参数进行识别。利用有限元技术,建立了偶应力正／反问题数值求解模型,该模型不仅考虑了非均质的影响,而且也便于反问题的敏度分析。文中给出了相关的数值算例,并对信息误差和不同的函数形式计算结果做了初步探讨,得到满意的结果。数值算例表明该模型具有一定的计算精度和抗不适定性。 |
| 英文摘要: |
| This paper presents a general numerical model to identify parameters for inverse couple-stress problem with homotopic method based on Bregman distances function. A finite element model is given, taking account of inhomogeneity and facilitating to sensitivity analysis for direct and inverse problems. Satisfactory numerical validation is given including a preliminary investigation of effect of noise data and the terms for different Bregman functions. Results show that the proposed method can identify parameters for the inverse couple-stress problem with high computational efficiiency and the ability of anti-noisy data. |
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