| 基于敏度分析的拉压不同模量桁架问题的数值分析 |
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| 引用本文： | 杨海天,张晓月,何宜谦.基于敏度分析的拉压不同模量桁架问题的数值分析[J].计算力学学报,2011,28(2):237-242. |
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| 作者姓名： | 杨海天 张晓月 何宜谦 |
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| 作者单位： | 大连理工大学工程力学系工业装备结构分析国家重点实验室,大连,116024 |
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| 基金项目： | 国家自然科学基金(10772035,10721062,10472019,11072043);973项目(2005CB321704,2010CB832703)资助项目. |
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| 摘 要： | 利用光滑函数技术,提出光滑化的拉压不同弹性模量问题的应力应变关系,与有限元方法相结合,建立了拉压不同模量一维连续体与桁架结构的数值求解模型,推导了敏度计算公式,采用Newton-Raphson算法进行求解.数值结果表明,本文算法具有较高的计算精度和收敛速度.
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| 关 键 词： | 拉压双弹性模量 光滑函数 Newton-Raphson算法 桁架 |
| 收稿时间： | 4/9/2009 12:00:00 AM |
| 修稿时间： | 2010/1/23 0:00:00 |
Sensitivity analysis based numerical solution for truss structures with bi-modulus |
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| YANG Hai-tian,ZHANG Xiao-yue and HE Yi-qian.Sensitivity analysis based numerical solution for truss structures with bi-modulus[J].Chinese Journal of Computational Mechanics,2011,28(2):237-242. |
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| Authors: | YANG Hai-tian ZHANG Xiao-yue and HE Yi-qian |
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| Institution: | State Key Lab of Structural Analysis for Industrial Equipment Deptment of Engineering Mechanics,Dalian University of Technology, Dalian 116024, China;State Key Lab of Structural Analysis for Industrial Equipment Deptment of Engineering Mechanics,Dalian University of Technology, Dalian 116024, China;State Key Lab of Structural Analysis for Industrial Equipment Deptment of Engineering Mechanics,Dalian University of Technology, Dalian 116024, China |
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| Abstract: | A new smoothed elastic bi-modular constitutive relationship is presented, therefore the sensitivity of stiffness matrix with respect to displacement and the sensitivity of displacement with respect to elastic modulus can be obtained conveniently. A FEM and sensitivity analysis based numerical model is developed for elastic 1D continuum and truss structures with dual extensional/compressive modulus, and Newton-Raphson algorithm is employed in the solution process. A number of numerical examples are given to verify the proposed algorithm with high computing accuracy and efficiency. |
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| Keywords: | bi-modulus smoothing functions newton-raphson algorithm truss |
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