The University of Southampton
University of Southampton Institutional Repository

Approximate static and dynamic reanalysis techniques for structural optimization

Approximate static and dynamic reanalysis techniques for structural optimization
Approximate static and dynamic reanalysis techniques for structural optimization
This paper presents an approach based on reduced basis approximation concepts for static and dynamic reanalysis of structural systems. In the presented approach, scaling parameters are introduced to increase the range of applicability of local approximation techniques based on Taylor or matrix perturbation series. The terms of the local approximation series are used as basis vectors for constructing an approximation of the perturbed response quantities. The undetermined scalar quantities are then estimated by solving the perturbed equilibrium equations int he reduced basis. This approach was earlier proposed in the context of statistics by Kirsch (1991). This paper presents in brief the reanalysis procedure for statics and a new method based on a similar line of approach is proposed for approximate dynamic reanalysis. The method is applied to approximate dynamic reanalysis of a cantilevered beam structure. Preliminary results for this example problem indicate that high quality approximation of the natural frequencies and mode shapes can be obtained for moderate perturbations in the stiffness matrix elements of the order of 40%.
9054108967
295-302
CRC Press / Balkema
Nair, P.B.
da7138d7-da7f-45af-887b-acc1d0e77a6f
Gilchrist, M.D.
Nair, P.B.
da7138d7-da7f-45af-887b-acc1d0e77a6f
Gilchrist, M.D.

Nair, P.B. (1997) Approximate static and dynamic reanalysis techniques for structural optimization. In, Gilchrist, M.D. (ed.) Modern Practice in Stress and Vibration Analysis. Rotterdam, The Netherlands. CRC Press / Balkema, pp. 295-302.

Record type: Book Section

Abstract

This paper presents an approach based on reduced basis approximation concepts for static and dynamic reanalysis of structural systems. In the presented approach, scaling parameters are introduced to increase the range of applicability of local approximation techniques based on Taylor or matrix perturbation series. The terms of the local approximation series are used as basis vectors for constructing an approximation of the perturbed response quantities. The undetermined scalar quantities are then estimated by solving the perturbed equilibrium equations int he reduced basis. This approach was earlier proposed in the context of statistics by Kirsch (1991). This paper presents in brief the reanalysis procedure for statics and a new method based on a similar line of approach is proposed for approximate dynamic reanalysis. The method is applied to approximate dynamic reanalysis of a cantilevered beam structure. Preliminary results for this example problem indicate that high quality approximation of the natural frequencies and mode shapes can be obtained for moderate perturbations in the stiffness matrix elements of the order of 40%.

Text
nair_97.pdf - Accepted Manuscript
Download (1MB)

More information

Published date: 1997

Identifiers

Local EPrints ID: 21237
URI: http://eprints.soton.ac.uk/id/eprint/21237
ISBN: 9054108967
PURE UUID: 8600fb77-245d-4d08-ab08-1510d299ced1

Catalogue record

Date deposited: 14 Nov 2006
Last modified: 15 Mar 2024 06:29

Export record

Contributors

Author: P.B. Nair
Editor: M.D. Gilchrist

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×