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A new approach for force‐displacement co‐simulation using kinematic coupling constraints
Author(s) -
Schneider Fabio,
Burger Michael,
Arnold Martin,
Simeon Bernd
Publication year - 2017
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201500129
Subject(s) - kinematics , displacement (psychology) , coupling (piping) , co simulation , mechanics , physics , classical mechanics , computer science , materials science , simulation , composite material , psychology , psychotherapist
The separate numerical simulation of interacting subsystems, i.e. the co‐simulation of subsystems, is widespread in advanced system simulation. Classically, mechanical subsystems are coupled by artificial stiffnesses, which often are unknown. In this paper, we present a coupling approach that uses no artificial stiffness, but a kinematic coupling constraint for the co‐simulation of different subsystems. The algebraic constraint leads to corresponding constraint forces that only act in one direction of the coupling to avoid drift‐off problems, while displacements are given in the opposite direction. Moreover, a strategy for an efficient computation of approximated constraint forces is provided. For the stability of the approach, we consider zero‐stability as well as stability for finite time steps. Convergence is analyzed with a 2‐mass spring‐damper model, where the analytical solution is known. As application, we use our approach to simulate the more complex problem of a cable model, that is embedded in a multibody system.