New methods in collision of bodies analysis

Němec, Ivan, et al. "New methods in collision of bodies analysis." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics CAS, 2023. 133-148. <http://eudml.org/doc/299029>.

@inProceedings{Němec2023,
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.},
author = {Němec, Ivan, Vala, Jiří, Štekbauer, Hynek, Jedlička, Michal, Burkart, Daniel},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {contact/impact of elastic bodies; finite element method; method of dicretization in time; energy and kinematic approaches},
location = {Prague},
pages = {133-148},
publisher = {Institute of Mathematics CAS},
title = {New methods in collision of bodies analysis},
url = {http://eudml.org/doc/299029},
year = {2023},
}

TY - CLSWK
AU - Němec, Ivan
AU - Vala, Jiří
AU - Štekbauer, Hynek
AU - Jedlička, Michal
AU - Burkart, Daniel
TI - New methods in collision of bodies analysis
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2023
CY - Prague
PB - Institute of Mathematics CAS
SP - 133
EP - 148
AB - 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.
KW - contact/impact of elastic bodies; finite element method; method of dicretization in time; energy and kinematic approaches
UR - http://eudml.org/doc/299029
ER -