SANJAY
LALL
Control and Dynamical Systems
California Institute of Technology
Pasadena, CA 91125, USA
http://www.cds.caltech.edu/~sanj/
sanj@cds.caltech.edu
Abstract:
We provide an explicit method of constructing reduced-order models
of mechanical systems which preserves the Lagrangian structure of
the original system. These methods may be used in combination with
standard spatial decomposition methods, such as the Karhunen-Lo\`eve
expansion, balancing, and wavelet decomposition. 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.