| 郑君华,袁行飞,董石麟,曲晓宁.基于大变形分析的动不定体系的求解[J].计算力学学报,2008,25(3):310~314 |
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| 基于大变形分析的动不定体系的求解 |
| Calculation of kinematically indeterminate system based on large deformation analysis |
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| DOI：10.7511/jslx20083060 |
| 中文关键词: 动不定体系,非相容方程,大变形,机构,奇异值分解法 |
| 英文关键词:kinematically indeterminate structure,incompatible equation,large displacement,mechanism,singular value decomposition |
| 基金项目:国家自然科学基金 |
| 郑君华 袁行飞 董石麟 曲晓宁 |
| 浙江大学建工学院空间结构研究中心，浙江大学建工学院空间结构研究中心，浙江大学建工学院空间结构研究中心，浙江大学建工学院空间结构研究中心 杭州310027，浙江东南网架集团有限公司，杭州311209，杭州310027，杭州310027，杭州310027 |
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| 中文摘要: |
| 动不定体系由于内部存在机构位移,其求解过程不同于动定体系。为了全面了解动不定体系的受力性能,本文对其相容及非相容平衡方程的求解进行了详细的分析和推导;同时,由于动不定体系求解过程涉及大位移,本文对通常建立在小变形假定下的变形协调方程进行了重新推导,采用建立在大变形基础上的变形协调方程对有限机构进行求解,并由此编制了相应的计算程序。算例分析表明本文计算方法是精确和有效的,可用于确定动不定体系的平衡状态和内力。 |
| 英文摘要: |
| With inner mechanisms,the solution of kinematically indeterminate systems is much more complicated than that of kinematically determinate systems.To understand the structural behaviour fully,the compatible and incompatible equilibrium equations of kinematically indeterminate systems had been derived and solved detailedly in this paper.Considering the solution of kinematically indeterminate system involves large displacement,the deformation compatible equations based on small distortion were re-derived and the equations which based on large distortion were adopted.Numerical results show the proposed method is accurate and efficient,and can be used to determine the equilibrium state of kinematically indeterminate systems. |
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