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细长杆的Cosserat动力学模型和变分原理

Variational Principle for a Special Cosserat Rod
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摘要 利用Cosserat理论建立了细长杆的三维非线性动力学模型.借助伪刚体法和变分原理得到了Cosserat杆的包括各种形变的三维空间运动方程. Based on the Cosserat theory, the nonlinear models of a rod in 3-dimensional space was described. Using pseudo-rigid body method and variational principle the equations of motion of Cosserat rod including shear deformation were obtained.
作者 刘东生 查尔斯.王
机构地区 南京理工大学应用数学系 阿伯丁大学工程和物理科学学院
出处 《应用数学和力学》 EI CSCD 北大核心 2009年第9期1091-1099,共9页 Applied Mathematics and Mechanics
基金 教育部留学回国人员科研启动基金资助项目
关键词 细长杆 变分原理 COSSERAT理论 rod variational principle Cosserat theory
分类号 O33 [理学—一般力学与力学基础] O343.5 [理学—固体力学]
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参考文献20

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二级参考文献11

  • 1Hongwu Zhang,Hui Wang,Guozhen Liu.Quadrilateral isoparametric finite elements for plane elastic Cosserat bodies[J].Acta Mechanica Sinica,2005,21(4):388-394. 被引量：8
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应用数学和力学
2009年 第9期

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