Energy conservative property of impulse-based methods for collision resolution

SUMMARYPhysical accuracy, numerical stability, and computational speed are critical factors in the simulation of collisions. The impulse‐based method models collisions in a system of rigid bodies in a relatively reliable and fast manner. In the present paper, evidence is presented for the energy‐con...

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Bibliographic Details
Published in:International journal for numerical methods in engineering 2013-08, Vol.95 (6), p.529-540
Main Authors: Tang, XH, Paluszny, A, Zimmerman, R. W.
Format: Article
Language:English
Subjects:
Collision dynamics
collision resolution
Computer simulation
Energy conservation
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Impulse-based method
linear momentum conservation
Mathematical models
Numerical analysis
Physics
Rigid-body dynamics
Solid dynamics (ballistics, collision, multibody system, stabilization...)
Solid mechanics
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Summary:SUMMARYPhysical accuracy, numerical stability, and computational speed are critical factors in the simulation of collisions. The impulse‐based method models collisions in a system of rigid bodies in a relatively reliable and fast manner. In the present paper, evidence is presented for the energy‐conserving and momentum‐conserving properties of the method. Two different impulse‐based approaches are validated using numerical tests. A necessary condition is proposed for the impulse‐based method to be energy conservative. Results indicate that the impulse‐based method for collision simulation, which satisfies the proposed condition, is energy conservative. Copyright © 2013 John Wiley & Sons, Ltd.
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.4537