✦ LIBER ✦

THE CONVERGENCE OF THE ITERATED IRS METHOD

✍ Scribed by M.I. Friswell; S.D. Garvey; J.E.T. Penny

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 195 KB
Volume: 211
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1997.1368

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✦ Synopsis

Static or Guyan reduction is widely used to reduce the number of degrees of freedom in a finite element model, but it is exact only at zero frequency. The Improved Reduced System (IRS) method makes some allowance for the inertia terms and produces a reduced model which more accurately estimates the modal model of the full system. The IRS method may be extended to produce an iterative algorithm for the reduction transformation. It has already been shown that this reduced model reproduces a subset of the modal model of the full system if the algorithm converges. In this paper it is proved that the iterated IRS method converges. It is also shown that the lower modes converge more quickly than the higher modes and that the master co-ordinates should be chosen to give an accurate static reduction.

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