Structure-Preserving Model Reduction for Mechanical Systems
Lall, S., P. Krysl, J. E. Marsden
Physica D, 184, 304-318
Abstract:
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.