A matrix-free cone complementarity approach for solving large-scale, nonsmooth, rigid body dynamics
From MaRDI portal
Publication:645519
DOI10.1016/j.cma.2010.06.030zbMath1225.70004OpenAlexW2056406147MaRDI QIDQ645519
Alessandro Tasora, Mihai Anitescu
Publication date: 16 November 2011
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2010.06.030
Computational methods for problems pertaining to mechanics of particles and systems (70-08) Problems involving a system of particles with friction (70F40) Dynamics of multibody systems (70E55)
Related Items
\(N\)-body gravitational and contact dynamics for asteroid aggregation, A Survey on Numerical Methods for the Simulation of Initial Value Problems with sDAEs, Explicit smooth/nonsmooth cosimulation using kinematic constraints, An inexact interior point method for the large-scale simulation of granular material, Nonsmooth contact dynamics for the large-scale simulation of granular material, Planar multiple-contact problems subject to unilateral and bilateral kinetic constraints with static Coulomb friction, A complementarity-based rolling friction model for rigid contacts, Using Krylov subspace and spectral methods for solving complementarity problems in many-body contact dynamics simulation, A nonsmooth method for spatial frictional contact dynamics of flexible multibody systems with large deformation, On convex numerical schemes for inelastic contacts with friction, A study of contact methods in the application of large deformation dynamics in self-contact beam, A unified analytical expression of the tangent stiffness matrix of holonomic constraints, An optimization-based discrete element model for dry granular flows: application to granular collapse on erodible beds, A nonsmooth modified symplectic integration scheme for frictional contact dynamics of rigid-flexible multibody systems, Leveraging parallel computing in multibody dynamics, Simulation of planar mechanisms with revolute clearance joints using the multipatch based isogeometric analysis, A geometrically exact isogeometric beam for large displacements and contacts, The maximum dissipation principle in rigid-body dynamics with inelastic impacts, Cone complimentary-based numerical manifold method modeling frictional and cohesive contact problems, Nonsmooth spatial frictional contact dynamics of multibody systems, The contact problem in Lagrangian systems with redundant frictional bilateral and unilateral constraints and singular mass matrix. The all-sticking contacts problem, A comparison of numerical methods for solving multibody dynamics problems with frictional contact modeled via differential variational inequalities, A primal-dual predictor-corrector interior point method for non-smooth contact dynamics, A scalable computational platform for particulate Stokes suspensions
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Issues in computing contact forces for non-penetrating rigid bodies
- Differential inclusions in nonsmooth mechanical problems. Shocks and dry friction
- A fixed-point iteration approach for multibody dynamics with contact and small friction.
- An iterative approach for cone complementarity problems for nonsmooth dynamics
- Solution dependence on initial conditions in differential variational inequalities
- Convergence of a time-stepping scheme for rigid-body dynamics and resolution of Painlevé's problem
- Formulating dynamic multi-rigid-body contact problems with friction as solvable linear complementarity problems
- Complementarity formulations and existence of solutions of dynamic multi-rigid-body contact problems with Coulomb friction
- Time-stepping for three-dimensional rigid body dynamics
- Differential variational inequalities
- Complementary pivot theory of mathematical programming
- Optimization-based simulation of nonsmooth rigid multibody dynamics
- A computational study of the use of an optimization-based method for simulating large multibody systems†
- Analysis of Rigid-Body Dynamic Models for Simulation of Systems With Frictional Contacts
- Quaternion-based rigid body rotation integration algorithms for use in particle methods
- Mechanical Systems of Rigid Bodies Subject to Unilateral Constraints
- On Dynamic Multi‐Rigid‐Body Contact Problems with Coulomb Friction
- Rigid-Body Dynamics with Friction and Impact
- A constraint‐stabilized time‐stepping approach for rigid multibody dynamics with joints, contact and friction
- A semi‐implicit time‐stepping model for frictional compliant contact problems
- Convergence of Time-Stepping Method for Initial and Boundary-Value Frictional Compliant Contact Problems
