Homotopy Solution of the Inverse Generalized Eigenvalue Problems in Structural Dynamics

LI Shu; WANG Bo; HU Ji-zhong

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LI Shu, WANG Bo, HU Ji-zhong. Homotopy Solution of the Inverse Generalized Eigenvalue Problems in Structural Dynamics[J]. Applied Mathematics and Mechanics, 2004, 25(5): 529-534.

Citation:

LI Shu, WANG Bo, HU Ji-zhong. Homotopy Solution of the Inverse Generalized Eigenvalue Problems in Structural Dynamics[J]. Applied Mathematics and Mechanics, 2004, 25(5): 529-534.

Citation:

LI Shu, WANG Bo, HU Ji-zhong. Homotopy Solution of the Inverse Generalized Eigenvalue Problems in Structural Dynamics[J]. Applied Mathematics and Mechanics, 2004, 25(5): 529-534.

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Homotopy Solution of the Inverse Generalized Eigenvalue Problems in Structural Dynamics

Institute of Aircraft Design, Beijing University of Aeronautics & Astronautics, Beijing 100083, P. R. China

Received Date: 2002-05-17
Rev Recd Date: 2003-11-17
Publish Date: 2004-05-15

Abstract

Abstract

The structural dynamics problems, such as structural design, parameter identification and model correction, are considered as a kind of the inverse generalized eigenvalue problems mathematically. The inverse eigenvalue problems are nonlinear. In general, they could be transformed into nonlinear equations to solve. The structural dynamics inverse problems were treated as quasi multiplicative inverse eigenalue problems which were solved by homotopy method for nonlinear equations. This method had no requirements for initial value essentially because of the homotopy path to solution. Numerical examples were presented to illustrate the homotopy method.
- structural dynamics,
- homotopy method,
- inverse problem

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References(13)

References

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