| 引用本文: | 李栋成,金芝英,张启先.机构运动弹性动力学普遍方程的研究.[J].国防科技大学学报,1989,11(3):113-121.[点击复制] |
| Li Dongcheng,Jin Zhiying,Zhang Qixian.Investigation of the Generalized Equation of Motion for KED Analysis of Flexible Mechanisms[J].Journal of National University of Defense Technology,1989,11(3):113-121[点击复制] |
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| 机构运动弹性动力学普遍方程的研究 |
| 李栋成1, 金芝英2, 张启先2 |
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(1.国防科技大学;2.北京航空航天大学)
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| 摘要: |
| 本文首次采用等参有限单元，建立了一个为一般机构广泛适用的运动弹性动力学普遍方程。在不附加任何“运动学”假设的情况下，作为自然的结果，方程的质量阵是正定、协调的常数阵，方程中不存在两类时变的非对称系数项，即所谓的“陀螺阻尼”项和“离心动刚度”项。因此，该方程无论在形式上还是在生成及求解方面，都要较其它同类型方程简单。此外，基于一维等参梁单元，本文还具体导出了具有杆状构件的平面连杆机构的弹性动力学模型，并给出了一个铰链四杆机构的算例。 |
| 关键词: 机构，运动弹性动力学，普遍方程，等参单元，几何不变性 |
| DOI： |
| 投稿日期：1988-08-30 |
| 基金项目: |
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| Investigation of the Generalized Equation of Motion for KED Analysis of Flexible Mechanisms |
| Li Dongcheng1, Jin Zhiying2, Zhang Qixian2 |
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(1.National University of Defense Technology;2.Beijing University of Aeronautics and Astronautics)
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| Abstract: |
| A generalized equation of motion for KED analysis of general flexible mechanisms has been developed by utilizing newly isoparametric finite element theory in this paper. As a natural result，the mass matrix is a positive definite consistent and time-independent one，and the two time-dependent and nonsymmetric matrice，that is，the “gyroscopic damping”and “centrifugal stiffness”ones，don't exist in the equation. Thus the equation with concise form may be derived and solved easily. Also based on the one-dimensional isoparametric beam elements，the equation for some flexible planar linkages has been derived in detail，and a numerical result of a planar for-bar linkage is presented in the paper. |
| Keywords: mechanisms, KED,generalized equation,isoparametric finite element,geometric invariance |
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