Matrix Perturbation Methol for the Vibration Problem of Structures with Interval Parameters

Qiu Zhi-ping; Chen Su-huan; Liu Zhong-sheng

Volume 15 Issue 6

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Abstract

References

Article Navigation > Applied Mathematics and Mechanics > 1994 > 15(6): 519-527

Qiu Zhi-ping, Chen Su-huan, Liu Zhong-sheng. Matrix Perturbation Methol for the Vibration Problem of Structures with Interval Parameters[J]. Applied Mathematics and Mechanics, 1994, 15(6): 519-527.

Citation:

Qiu Zhi-ping, Chen Su-huan, Liu Zhong-sheng. Matrix Perturbation Methol for the Vibration Problem of Structures with Interval Parameters[J]. Applied Mathematics and Mechanics, 1994, 15(6): 519-527.

Citation:

Qiu Zhi-ping, Chen Su-huan, Liu Zhong-sheng. Matrix Perturbation Methol for the Vibration Problem of Structures with Interval Parameters[J]. Applied Mathematics and Mechanics, 1994, 15(6): 519-527.

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Matrix Perturbation Methol for the Vibration Problem of Structures with Interval Parameters

The Centre of Computational Mechanics Jilin University of Technlologg, Changchun

Received Date: 1993-12-03
Publish Date: 1994-06-15

Abstract

Abstract

When the parameters of the structures are uncertain, the structural natural frequencies become uncertain.In this paper, we deal with the vibration problem of the structure with interval parameters,the eigenvalue problem of the structures with interval parameters is transferred into two different eigenvalue problems to be solved. The perturbation method is applied to the vibration problem of the structures with interval parameters, the numerical results show that the proposed method is sufficiently accurate and needs little computational efforts.
- natural frequency,
- interval parameter,
- matrix perturbation

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References(10)

References

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[4]	Chen Su-huan,Matrix Perturbation Theory in Structural Dynamics,International Academic Publishers (1993).
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