Formulation and preparation for numerical evaluation of linear complementarity systems in dynamics
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Publication:2486667
DOI10.1007/s11044-005-2519-6zbMath1114.70008OpenAlexW1966113042MaRDI QIDQ2486667
Christoph Glocker, Christian Studer
Publication date: 5 August 2005
Published in: Multibody System Dynamics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/20.500.11850/32387
Applications of mathematical programming (90C90) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Problems involving a system of particles with friction (70F40) Dynamics of multibody systems (70E55)
Related Items (30)
Contact mechanics for dynamical systems: a comprehensive review ⋮ Energetically consistent simulation of simultaneous impacts and contacts in multibody systems with friction ⋮ A differential algebraic method to approximate nonsmooth mechanical systems by ordinary differential equations ⋮ A unified formulation for mechanical joints with and without clearances/bushings and/or stops in the framework of multibody systems ⋮ Analytic solution for planar indeterminate impact problems using an energy constraint ⋮ A linear complementarity model for multibody systems with frictional unilateral and bilateral constraints ⋮ Energetic consistency conditions for standard impacts. I: Newton-type inequality impact laws and Kane's example ⋮ On the contact detection for contact-impact analysis in multibody systems ⋮ Recursive formulations for multibody systems with frictional joints based on the interaction between bodies ⋮ Simultaneous oblique impacts and contacts in multibody systems with friction ⋮ Unilateral frictional contact between a rigid wheel traversing on a flexible beam: an analytical investigation ⋮ A parametric study on the dynamic response of planar multibody systems with multiple clearance joints ⋮ A comparative study between the augmented Lagrangian method and the complementarity approach for modeling the contact problem ⋮ Energetic consistency conditions for standard impacts. II: Poisson-type inequality impact laws ⋮ Estimation of impact forces during multi-point collisions involving small deformations ⋮ On some generalizations of the implicit Euler method for discontinuous fractional differential equations ⋮ Simulating multibody dynamics with rough contact surfaces and run-in wear ⋮ Bifurcation phenomena in non-smooth dynamical systems ⋮ The analysis and simulation for three-dimensional impact with friction ⋮ Modeling and Analysis of Rigid Multibody Systems with Translational Clearance Joints Based on the Nonsmooth Dynamics Approach ⋮ Hybrid complementarity formulations for robotics applications ⋮ Non-smooth models and simulation studies of the suspension system dynamics basing on piecewise linear luz(\dots{}) and tar(\dots{}) projections ⋮ Numerical method for dynamics of multi-body systems with two-dimensional Coulomb dry friction and nonholonomic constraints ⋮ Step size adjustment and extrapolation for time-stepping schemes in non-smooth dynamics ⋮ Oblique frictional impact of a bar: analysis and comparison of different impact laws ⋮ Modeling three-dimensional surface-to-surface rigid contact and impact ⋮ Representation of normal cone inclusion problems in dynamics via nonlinear equations ⋮ A catching-up algorithm for multibody dynamics with impacts and dry friction ⋮ Non-jamming conditions in multi-contact rigid-body dynamics ⋮ Simulation of Hard Contacts with Friction: An Iterative Projection Method
Uses Software
Cites Work
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