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Structure-preserving model reduction for mechanical systems

Lall, Sanjay and Krysl, Petr and Marsden, Jerrold E. (2003) Structure-preserving model reduction for mechanical systems. Physica D, 184 (1-4). pp. 304-318. ISSN 0167-2789.

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This paper focuses on methods of constructing of reduced-order models of mechanical systems which preserve the Lagrangian structure of the original system. These methods may be used in combination with standard spatial decomposition methods, such as the Karhunen–Loève expansion, balancing, and wavelet decompositions. The model reduction procedure is implemented for three-dimensional finite-element models of elasticity, and we show that using the standard Newmark implicit integrator, significant savings are obtained in the computational costs of simulation. In particular simulation of the reduced model scales linearly in the number of degrees of freedom, and parallelizes well.

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Additional Information:© 2003 Elsevier B.V. All rights reserved. Available online 23 September 2003. Dedicated to Alan Newell on the occasion of his 60th birthday. We thank Ronald Coifman, John Doyle, Darryl Holm, Yannis Kevrekidis, Clancy Rowley, and Peter Schröder for helpful comments and inspiration. Research partially supported by AFOSR MURI grant F49620-96-1-0471 and NSF/DARPA OPAAL grant DMS- 9874082. Research partially supported by NSF/DARPA OPAAL grant DMS-9874082. Research partially supported by NSF/ITR grant ACI-0204932 and NSF/DARPA OPAAL grant DMS-9874082.
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR MURI)F49620-96-1-0471
NSF/Defense Advanced Research Projects Agency (DARPA OPAAL)DMS-9874082
NSF/Defense Advanced Research Projects Agency (DARPA OPAAL)DMS-9874082
Subject Keywords:Model reduction; Karhunen–Loève expansion; Balanced truncation; Lagrangian mechanics
Record Number:CaltechAUTHORS:20100823-065644954
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:19571
Deposited By: Ruth Sustaita
Deposited On:23 Aug 2010 21:07
Last Modified:26 Dec 2012 12:20

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