𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Structure-preserving model reduction for mechanical systems

✍ Scribed by Sanjay Lall; Petr Krysl; Jerrold E Marsden

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
154 KB
Volume
184
Category
Article
ISSN
0167-2789

No coin nor oath required. For personal study only.

✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

An exact model reduction procedure for m
An exact model reduction procedure for mechanical systems
✍ S.L. Chen; M. GΓ©radin πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 681 KB

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 f

The component connection model and struc
The component connection model and structure preserving model order reduction
✍ O. Wasynczuk; R.A. Decarlo πŸ“‚ Article πŸ“… 1981 πŸ› Elsevier Science 🌐 English βš– 685 KB

This paper uses the component connection model as a setting for model order reduction. The actual reduction occurs on the component level as opposed to the composite system level. A theorem with proof is given relating the component level reduction to the established singular perturbation method. Co