Abstract
The purpose is to study the variational method for impact problem of a non-ideal constraint system. Compared to an ideal constraint system, a non-ideal constraint system has more practical engineering background, but it contains unknown non-ideal constraint forces, which usually can be written as the function of ideal constrained forces. The existing analytical method on ideal constraint systems does not contain constraint forces. The non-ideal constraint forces are considered for impact problems in the variational principle, and then by method of Lagrange multipliers, equations for impact motion of a holonomic system and an expression of the kinetic energy variation during the impact motion are obtained.
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