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Lagrangian constraint toolkit for the simulation of 1D-manifold structure

Adrien Theetten 1 Laurent Grisoni 1 
1 ALCOVE - Collaborative interactive virtual environment
LIFL - Laboratoire d'Informatique Fondamentale de Lille, Inria Lille - Nord Europe
Abstract : This paper introduces an easy and efficient way to constrain a one-dimensional deformable model with Lagrangian constraints, allowing most needed interaction and combinations of 1D parts for the assembly of complex 3D structures like a bridge, a pearl necklace, cable beams and a bow. These examples illustrate non-trivial interactions, e.g. sliding, that can not be easily addressed by previous methods. All constraint formulations we propose are compatible with linear and displacement-based integration schemes. For an optimal integration numerical process, we discuss efficient reordering of the constraint and motion equations. This provides linear-time and robust simulation of complex structures.
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Submitted on : Thursday, September 12, 2013 - 3:02:04 PM
Last modification on : Thursday, February 24, 2022 - 3:10:16 AM


  • HAL Id : hal-00861338, version 1



Adrien Theetten, Laurent Grisoni. Lagrangian constraint toolkit for the simulation of 1D-manifold structure. Computer-Aided Design, 2009, 41 (12), pp.990-998. ⟨hal-00861338⟩



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