Variational Method for Percussion Motion of a Non-Ideal Constraint System
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.
Qingxue Huang, Cunlong Zhou, Zhengyi Jiang, Jianmei Wang, Hailian Gui, Lifeng Ma, Lidong Ma, Yugui Li and Chunjiang Zhao
W. L. Yao and L. L. Gao, "Variational Method for Percussion Motion of a Non-Ideal Constraint System", Advanced Materials Research, Vol. 145, pp. 5-9, 2011