The restitution coefficient for a linear elastic rod. (English) Zbl 1122.74429

Shi, P.

Math. Comput. Modelling 28, No. 4-8, 427-435 (1998).

Summary: We consider a linear elastic rod that comes to impact with a rigid obstacle under the action of a constant body force. The restitution coefficient is defined as the ratio between the rebound velocity and the approaching velocity at the impact end of the rod. We derive an explicit formula that computes the restitution coefficient in terms of the physical parameters of the problem.

MSC:

74K10	Rods (beams, columns, shafts, arches, rings, etc.)
74M20	Impact in solid mechanics

Keywords:

Impact problem; Restitution coefficient

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