Summary
Currently, there is a renewed interest in the study of multi-body-dynamics and its application in many fields of engineering. The mathematical model of a rigid body is useful whenever the overall motion, involving large rigid rotation, is of interest. The nonlinear dynamic equations of motion, in their explicit form, appear quite complex due to the expression for the absolute accelerations.
In this paper weak formulations of linear and angular momentum balance laws of a rigid body undergoing large overall motion are stated a priori. Holonomic as well nonholonomic constraints, that may exist on the motion of the rigid body, are introduced into this weak form in a fundamentally novel fashion here. Comments are made on the incremental form (and consistent linearization) of the weak formulation (with constraints), and the time-finite-element solutions thereof.
The authors gratefully acknowledge the support of this work by the USAFOR and SDIO/IST, as well as the encouragement of Dr. A. K. Amos
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© 1988 Springer-Verlag Berlin Heidelberg
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Borri, M., Atluri, S.N. (1988). Time-Finite Element Method for the Constrained Dynamics of a Rigid Body. In: Atluri, S.N., Yagawa, G. (eds) Computational Mechanics ’88. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61381-4_307
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DOI: https://doi.org/10.1007/978-3-642-61381-4_307
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