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New methods in collision of bodies analysis

Němec, IvanVala, JiříŠtekbauer, HynekJedlička, MichalBurkart, Daniel — 2023

Programs and Algorithms of Numerical Mathematics

The widely used method for solution of impacts of bodies, called the penalty method, is based on the contact force proportional to the length of the interpenetration of bodies. This method is regarded as unsatisfactory by the authors of this contribution, because of an inaccurate fulfillment of the energy conservation law and violation of the natural demand of impenetrability of bodies. Two non-traditional methods for the solution of impacts of bodies satisfy these demands exactly, or approximately,...

On a new computational algorithm for impacts of elastic bodies

Hynek ŠtekbauerIvan NěmecRostislav LangDaniel BurkartJiří Vala — 2022

Applications of Mathematics

Computational modelling of contact problems is still one of the most difficult aspects of non-linear analysis in engineering mechanics. The article introduces an original efficient explicit algorithm for evaluation of impacts of bodies, satisfying the conservation of both momentum and energy exactly. The algorithm is described in its linearized 2-dimensional formulation in details, as open to numerous generalizations including 3-dimensional ones, and supplied by numerical examples obtained from...

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