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 |
(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 |
(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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