| 刚-柔耦合动力学系统的建模理论研究 |
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| 引用本文： | 刘锦阳,洪嘉振.刚-柔耦合动力学系统的建模理论研究[J].力学学报,2002,34(3):408-415. |
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| 作者姓名： | 刘锦阳 洪嘉振 |
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| 作者单位： | 上海交通大学工程力学系,上海,200030 |
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| 基金项目： | 国家自然科学基金重点项目(19832040)，国家教委博士点专项科研基金项目(2000024818)资助． |
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| 摘 要： | 刚－柔耦合动力学系统的传统的混合坐标方法是零次近似方法,在建模过程中,直接套用的结构动力学的小变形假设,忽略了变形位移的高次耦合变形量．本文对柔性梁建立较零次近似更精确的高次耦合动力学模型,从连续介质力学理论出发,在变形位移中,计及横向位移引起的轴向缩短,导出变形位移的二次耦合量．用一致质量有限元方法对梁进行离散,基于Jourdain速度变分原理导出大范围运动为自由的柔性梁的刚－柔耦合动力学方程．计算了柔性重力摆的角速度和摆端点的横向变形,揭示零次近似模型和耦合模型的刚－柔耦合动力学性质的根本差异．
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| 关 键 词： | 刚－柔耦合动力学系统 耦合变形量 刚－柔耦合动力学方程 |
| 修稿时间： | 2000年11月9日 |
STUDY ON DYNAMIC MODELING THEORY OF RIGID- FLEXIBLE COUPLING SYSTEMS |
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| Liu Jinyang Hong Jiazhen.STUDY ON DYNAMIC MODELING THEORY OF RIGID- FLEXIBLE COUPLING SYSTEMS[J].chinese journal of theoretical and applied mechanics,2002,34(3):408-415. |
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| Authors: | Liu Jinyang Hong Jiazhen |
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| Affiliation: | Liu Jinyang Hong JiazhenDepartment of Engineering Mechanics,Shanghai Jiaotong University,Shanghai 200030,China |
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| Abstract: | According to this full new dynamic modeling theory, the traditional hybrid-coordinatemodel of rigid-flexible coupling systems is considered as a zero order approximate dynamic model.With the assumption of elastic deformation in structure dynamics, the high order coupling de-formation variables are ignored in the zero order dynamic model. In this paper, the high ordercoupling dynamic modeling for flexible beams is described. Based on continuum medium mechan-ics, the quadratic term of the partial derivative of the deformation displacement with respect tothe spatial position is kept in the related equation between the stretching rate and the deformationdisplacements. The second order coupling terms of the deformation motion are deduced. Thefinite element method is used for the system discretization and the coupling dynamic equations offlexible beam are obtained by using Jourdain's velocity variational principle. The angular velocityand the tip deformation of the flexible pendulum are calculated. The difference of the dynamicproperty between the zero order model and the coupling model is revealed. |
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| Keywords: | rigid-flexible coupling systems the high order coupling deformation variables thecoupling dynamic equations |
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