Bogdan Gavrea

A computational study of the use of an optimization-based method for simulating large multibody systems

  • Mihai Anitescu
  • Florian A. Potra
  • Bogdan Gavrea
  • Cosmin G. Petra
    • Categories Mechanical Engineering, Quadratic Programming

    The present work aims at comparing the performance of several quadratic programming (QP) solvers for simulating large-scale frictional rigid-body systems. Traditional time-stepping schemes for simulation of multibody systems are formulated as linear complementarity problems (LCPs) with copositive matrices. Such LCPs are generally solved by means of Lemketype algorithms and solvers such as the PATH solver … Read more

    CONVERGENCE OF A CLASS OF SEMI-IMPLICIT TIME-STEPPING SCHEMES FOR NONSMOOTH RIGID MULTIBODY DYNAMICS

  • Mihai Anitescu
  • Florian A. Potra
  • Bogdan Gavrea
    • Categories Complementarity and Variational Inequalities, Mechanical Engineering, Other Topics Tags , , , ,

    In this work we present a framework for the convergence analysis in a measure differential inclusion sense of a class of time-stepping schemes for multibody dynamics with contacts, joints, and friction. This class of methods solves one linear complementarity problem per step and contains the semi-implicit Euler method, as well as trapezoidallike methods for which … Read more