| 一个新的杆系大变形余能计算方法 |
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| 引用本文： | 范志会,金明.一个新的杆系大变形余能计算方法[J].北京理工大学学报,2006,26(9):757-760. |
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| 作者姓名： | 范志会 金明 |
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| 作者单位： | 北京交通大学,工程力学所,北京,100044;北京交通大学,工程力学所,北京,100044 |
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| 基金项目： | 国家自然科学基金
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高等学校博士学科点专项科研项目 |
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| 摘 要： | 将杆系节点处的平衡条件作为约束条件,利用Lagrange乘子将约束条件引入到以"基面力"和位移对坐标导数表示的余能泛函中,从而将条件驻值问题转化为无条件驻值问题.应用该余能原理可直接计算出杆系在发生大变形时的内力和位移,算例说明余能原理用于杆系大变形的计算是可行的.
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| 关 键 词： | 基面力 余能原理 大变形 杆系 |
| 文章编号： | 1001-0645(2006)09-0757-04 |
| 收稿时间： | 01 19 2006 12:00AM |
| 修稿时间： | 2006年1月19日 |
A New Complementary Energy Computational Method for Large Deformation of Rods |
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| FAN Zhi-hui and JIN Ming.A New Complementary Energy Computational Method for Large Deformation of Rods[J].Journal of Beijing Institute of Technology(Natural Science Edition),2006,26(9):757-760. |
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| Authors: | FAN Zhi-hui and JIN Ming |
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| Institution: | Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing 100044, China |
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| Abstract: | Equilibrium equations on nodes are taken as constraint conditions,and Lagrange multipliers are substituted into complementary functionals expressed with base forces,and derivatives of displacement with respect to coordinates.Then a conditional stationary problem is transformed into an unconditional stationary problem.Based on this complementary energy principle,internal forces and displacements are obtained when a rod system is in large deformation.Thus it is feasible for the complementary energy principle to apply to large deformations in rods systems. |
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| Keywords: | base forces complementary energy principle large deformation rods system |
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