Investigation of the Generalized Equation of Motion for KED Analysis of Flexible Mechanisms
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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.
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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.