Publication result detail

New methods in collision of bodies analysis

NĚMEC, I.; VALA, J.; ŠTEKBAUER, H.; JEDLIČKA, M.; BURKART, D.

Original Title

New methods in collision of bodies analysis

English Title

New methods in collision of bodies analysis

Type

Paper in proceedings (conference paper)

Original Abstract

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, but much better than the penalty method. Namely the energy method exactly satisfies the conservation of energy law, whereas the kinematic method exactly satisfies the condition of impenetrability of bodies. Both these methods are superior in comparison with the penalty method, which is demonstrated by the results of several numerical examples.

English abstract

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, but much better than the penalty method. Namely the energy method exactly satisfies the conservation of energy law, whereas the kinematic method exactly satisfies the condition of impenetrability of bodies. Both these methods are superior in comparison with the penalty method, which is demonstrated by the results of several numerical examples.

Keywords

contact/impact of elastic bodies; fiite element method; method of dicretization in time; energy and kinematic approaches

Key words in English

contact/impact of elastic bodies; fiite element method; method of dicretization in time; energy and kinematic approaches

Authors

NĚMEC, I.; VALA, J.; ŠTEKBAUER, H.; JEDLIČKA, M.; BURKART, D.

RIV year

2025

Released

30.06.2023

Publisher

Matematický ústav AV ČR

Location

Praha

ISBN

978-80-85823-73-8

Book

Programs and Algorithms of Numerical Mathematics 22

Pages from

133

Pages to

148

Pages count

16

URL

https://panm21.math.cas.cz/

BibTex

@inproceedings{BUT180711,
  author="Ivan {Němec} and Jiří {Vala} and Hynek {Štekbauer} and Michal {Jedlička} and Daniel {Burkart}",
  title="New methods in collision of bodies analysis",
  booktitle="Programs and Algorithms of Numerical Mathematics 22",
  year="2023",
  number="1",
  pages="133--148",
  publisher="Matematický ústav AV ČR",
  address="Praha",
  doi="10.21136/panm.2022.13",
  isbn="978-80-85823-73-8",
  url="https://panm21.math.cas.cz/"
}