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Digitale Medien

The Rayleigh quotient method for computing eigenvalue bounds of vibrational systems with interval parameters (1993)

Qiu, Zi-Ping ; Chen, Su-Huan ; Na, Jing-Xin

Springer

Acta mechanica solida Sinica 6 (1993), S. 309-318

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ISSN: 0894-9166

Schlagwort(e): Rayleigh quotient iteration ; eigenvalue problem ; structure with interval parameters

Quelle: Springer Online Journal Archives 1860-2000

Thema: Maschinenbau , Physik

Notizen: Abstract In this paper, an effective method, the Rayleigh quotient iteration, for computing the bounds of structures with interval parameters is presented. When the uncertainty of the structural parameters is described by using the interval, i.e. an unknown-but-bounded version, the structural vibration eigenvalues will become the interval. It is desirable to give these interval eigenvalues. An application of this method is illustrated by a numerical example. The results show that the Rayleigh quotient iteration method is very effective for constructing the upper and lower bounds on the eigenvalues of structures with interval parameters.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF02208018

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