Abstract
A nonlinear model of the impact of a visco-elastic-plastic body against a fixed obstacle is investigated. This model is reduced to a nonlinear second-order differential equation. The solution of the body motion equation using the special Lambert function is obtained. Within the framework of the model, an elastic and absolutely inelastic impact are possible. In the case of an elastic impact, the coefficient of restitution decreases when of the impact velocity is increasing.
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