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An exact model reduction procedure for mechanical systems

✍ Scribed by S.L. Chen; M. Géradin

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
681 KB
Volume
143
Category
Article
ISSN
0045-7825

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✦ Synopsis

This paper gives details of an exact model reduction procedure for the dynamic analysis of general mechanical systems. In this procedure, the system is first transformed into an equivalent one-dimensional (ID) lumped mass-spring-damping system by coordinate transformations. The 1D lumped system is further reduced into a lower order model with arbitrarily selected degrees of freedom. Three numerical examples are given for a distributed lumped mass-spring system, a truss frame structure and a cantilever plate.

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✍ Sanjay Lall; Petr Krysl; Jerrold E Marsden 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 154 KB

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 wavel