| 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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| 基于敏度分析的拉压不同模量桁架问题的数值分析 |
| Sensitivity analysis based numerical solution for truss structures with bi-modulus |
| 投稿时间：2009-04-09 修订日期：2010-01-23 |
| DOI：10.7511/jslx201102015 |
| 中文关键词: 拉压双弹性模量 光滑函数 Newton-Raphson算法 桁架 |
| 英文关键词:bi-modulus smoothing functions newton-raphson algorithm,truss |
| 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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| 中文摘要: |
| 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。 |
| 英文摘要: |
| 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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