Title
Non-smooth Newton Methods for Deformable Multi-body Dynamics.
Abstract
We present a framework for the simulation of rigid and deformable bodies in the presence of contact and friction. Our method is based on a non-smooth Newton iteration that solves the underlying nonlinear complementarity problems (NCPs) directly. This approach allows us to support nonlinear dynamics models, including hyperelastic deformable bodies and articulated rigid mechanisms, coupled through a smooth isotropic friction model. The fixed-point nature of our method means it requires only the solution of a symmetric linear system as a building block. We propose a new complementarity preconditioner for NCP functions that improves convergence, and we develop an efficient GPU-based solver based on the conjugate residual (CR) method that is suitable for interactive simulations. We show how to improve robustness using a new geometric stiffness approximation and evaluate our method’s performance on a number of robotics simulation scenarios, including dexterous manipulation and training using reinforcement learning.
Year
DOI
Venue
2019
10.1145/3338695
ACM Transactions on Graphics
Keywords
Field
DocType
Numerical optimization,contact,friction,multi-body dynamics,robotics
Applied mathematics,Mathematical optimization,Multi body,Artificial intelligence,Robotics,Mathematics,Newton's method
Journal
Volume
Issue
ISSN
38
5
0730-0301
Citations 
PageRank 
References 
7
0.49
0
Authors
6
Name
Order
Citations
PageRank
Miles Macklin124817.11
Kenny Erleben223024.55
Matthias Müller3392.97
Nuttapong Chentanez467538.02
Stefan Jeschke5164.75
Viktor Makoviychuk670.49