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On the possibilities of computational modelling of interaction of a structure with subsoil

Jedlička, Michal;  Němec, Ivan;  Vala, Jiří — 2025

Programs and Algorithms of Numerical Mathematics

The following possibilities of reduction of dimension in the computational analysis of strain and stresses transferred to the subsoil massive are available: i) coming from the effective subsoil model by Kolář & Němec (1989), based on the assumptions of the Pasternak's model (1954), where the pair of material parameters of a surface model is evaluated from the energy equivalence, ii) reducing a large sparse matrix of soil massive stiffness to a smaller one, using Schur's complement technique....

New methods in collision of bodies analysis

Němec, Ivan;  Vala, Jiří;  Štekbauer, Hynek;  Jedlička, Michal;  Burkart, 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,...

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