| 结构静力反问题求解逆摄动算法 |
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| 引用本文： | 苗玉彬,屈福政,滕弘飞.结构静力反问题求解逆摄动算法[J].大连理工大学学报,2001,41(1):67-72. |
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| 作者姓名： | 苗玉彬 屈福政 滕弘飞 |
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| 作者单位： | 1. 大连理工大学 机械工程学院, 辽宁 大连 116024
2. 大连理工大学 机械工程学院, 辽宁 大连 116024;中国科学院 现代制造CAD/CAM技术开放实验室, 辽宁 沈阳 110015 |
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| 基金项目： | 国家自然科学基金资助项目!(59675041). |
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| 摘 要： | 研究了基于有限元分析的结构静力反问题求解的逆摄动方法，以桁架结构的静力分析为例，基于桁架结构的有限元分析模型，利用反问题求解的思想提出了静力反问题求解的逆摄动算法。给出逆摄动参数ε的显式计算公式，避免或减少了重分析。算例表明，这是一种具有较高效率的计算方法，可应用于复杂工程结构的静力优化设计。
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| 关 键 词： | 结构静力分析 逆摄动法 有限元分析 机械设计 |
| 文章编号： | 1000-8608(2001)01-0067-06 |
Inverse perturbation solution method for structure static inverse problems |
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| MIAO Yu-bin,QU Fu-zheng,TENG Hong-fei.Inverse perturbation solution method for structure static inverse problems[J].Journal of Dalian University of Technology,2001,41(1):67-72. |
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| Authors: | MIAO Yu-bin QU Fu-zheng TENG Hong-fei |
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| Institution: | MIAO Yu-bin1,QU Fu-zheng1,TENG Hong-fei1,2 |
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| Abstract: | Although static analysis is widely used in the mechanical and engineering struct ure design now, static analysis inverse problems of structure are studied little . This paper discusses the inverse perturbation solution method for these invers e problems according to the finite element analysis. Based on the FEM model of t russ structure as well as the thoughts of inverse solution, an inverse perturbat ion method is proposed by taking static analysis of truss structure as example. Since the explicit expression of inverse perturbation parameters is given, this approach avoids or reduces reanalysis and can be applied to static optimum desi gn of complex engineering structure. Two examples indicate that the method is ef ficient and reliable. |
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