| 空间弯曲和扭转形杆动态特性的有限元分析 |
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| 引用本文： | 易恒杰,特布雷克.空间弯曲和扭转形杆动态特性的有限元分析[J].郑州大学学报(工学版),1990(1). |
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| 作者姓名： | 易恒杰 特布雷克 |
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| 作者单位： | 郑州工学院机械系，加拿大多伦多大学机械工程系 |
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| 摘 要： | 以三个移动和三个转动自由度的空间直角坐标推导了空间弯曲和扭转形杆的一系列基本方程式,通过解决应变为常量和零时的位移与应变关系。建立了形杆的刚体和常应变模式.以位移为基本函数,形成了单元的有限元模型。分析了三个自由振动的例子,计算结果与实测值十分一致,证明了公式和单元矩阵的正确性。
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| 关 键 词： | 平衡方程式 运动学 单元矩阵 有限元法 |
Finite Element Analysis of Dynamics of Spatially Curved and Twisted Rods |
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| Yi Hengjie.Finite Element Analysis of Dynamics of Spatially Curved and Twisted Rods[J].Journal of Zhengzhou University: Eng Sci,1990(1). |
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| Authors: | Yi Hengjie |
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| Abstract: | For spatially curved and twisted rods a set of governing equations are derived in terms of three translutional and three rotational degree of freedom.By solving the strain-displa- cement relations for constant and zero states of strain the rigid body and constant strain modes of the rod are obtained.These displacement modes are then used as basis functions for development of a finite element model,three examples are analyzed for free vibrations.Satisfactory agreement is observed for several modes of vibrations. |
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| Keywords: | Equilibrium equation Kinematics Elemental matrices Finitte element method |
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