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Iterative algorithms for non-linear eigenvalue problems. Application to vibrations of viscoelastic shells

✍ Scribed by Laëtitia Duigou; El Mostafa Daya; Michel Potier-Ferry

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
155 KB
Volume
192
Category
Article
ISSN
0045-7825

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✦ Synopsis

In this paper, two numerical iterative algorithms are developed for the vibrations of damped sandwich structures. These methods associate homotopy, asymptotic numerical techniques and Pad e e approximants. The first one is a sort of high order Newton method and the second one uses a more or less arbitrary matrix. So one can determine the natural frequencies and the loss factors of viscoelastically damped sandwich structures. To assess their efficiency, a few sandwich beams and plates have been considered. The techniques can be applied to large scale structures, to large damping and to strongly non-linear viscoelastic modulus.

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