The Rayleigh quotient method for computing eigenvalue bounds of vibrational systems with interval parameters |
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Authors: | Zi-Ping Qiu Su-Huan Chen Jing-Xin Na |
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Affiliation: | (1) Center for Computational Mechanics, Jilin University of Technology, 130022 Changchun, P.R. China;(2) Open Laboratory of CAD/CAM Technology for Advanced Manufacturing Academia Sinica, P.R. China |
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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.The Project Supported by National Natural Science Foundation of China |
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Keywords: | Rayleigh quotient iteration eigenvalue problem structure with interval parameters |
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