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Ein Formalismus zur Dynamiksimulation von mechanischen Mehrkörpersystemen mit flächigen Reibkontakten wird vorgestellt. Der Formalismus wurde insbesondere zur Simulation von Antriebssystemen in Kraftfahrzeugen entworfen, lässt sich aber ebenso zur Modellierung anderer technischer Systeme heranziehen.Das verwendete Reibmodell erlaubt eine konsequente Anwendung klassischer Reibgesetze wie der Coulombschen Reibung auf verteilte Kontakte.

Mehrkörperdynamik Kontaktmechanik Reibung Coulomb Regularisierung

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Phenomena occurring during a contact of two bodies are encountered in everyday life. In reality almost every type of motion is related to frictional contact between a moving body and a ground. Moreover, modeling of simple and more complex processes as nailing, cutting, vacuum pressing, movement of machines and their elements, rolling or, finally, a numerical simulation of car crash tests, requires taking contact into account. Therefore, its analysis has been a subject of many research efforts for a long time now. However, it is author’s opinion that there are relatively few efforts related to contact between structural elements, like beams, plates or shells. The purpose of this work is to fill this gap. It concerns the beam-to-beam contact as a specific case of the 3D solids contact. A numerical formulation of frictional contact for beams with two shapes of cross-section is derived. Further, a couple of effective methods for modeling of smooth curves representing beam axes are presented. A part of the book is also devoted to analyze some aspects of thermo-electro-mechanical coupling in contact of thermal and electric conductors. Analyses in every chapter are illustrated with numerical examples showing the performance of derived contact finite elements.

Balken. --- Contact mechanics. --- Finite element method. --- Finite-Elemente-Methode. --- Kontaktmechanik. --- Contact mechanics --- Finite element method --- Materials Science --- Applied Mathematics --- Civil Engineering --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Chemical & Materials Engineering --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Contact problems (Mechanics) --- Mechanics, Contact --- Engineering. --- Applied mathematics. --- Engineering mathematics. --- Continuum mechanics. --- Continuum Mechanics and Mechanics of Materials. --- Appl.Mathematics/Computational Methods of Engineering. --- Numerical analysis --- Isogeometric analysis --- Mechanics, Applied --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Mathematical and Computational Engineering. --- Engineering --- Engineering analysis --- Mathematical analysis --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Mathematics --- Solids. --- Mathematical and Computational Engineering Applications. --- Data processing. --- Solid state physics --- Transparent solids