Abstract
In order to solve the problem of motion for the system with n degrees of freedom under the action of p impulsive constraints, we must solve the simultaneous equations consisting of n+p equations. In this paper, it has been shown that the undetermined multipliers in the equations of impact can be cancelled for the cases of both the generalized coordinates and the quasi-coordinates. Thus there are only n-p equations of impact. Combining these equations with p impulsive constraint equations, we have simultaneous equations consisting of n equations. Therefore, only n equations are necessary to solve the problem of impact for the system subjected to impulsive constraints. The method proposed in this paper is simpler than ordinary methods.
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Communicated by Chien Wei-zang
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You-lie, S. The equations of motion of a system under the action of the impulsive constraints. Appl Math Mech 9, 51–60 (1988). https://doi.org/10.1007/BF02017886
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DOI: https://doi.org/10.1007/BF02017886