Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)
- Volume 22 Issue 4
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- Pages.916-923
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- 1998
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- 1226-4873(pISSN)
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- 2288-5226(eISSN)
DOI QR Code
Infinite determinant method for stability analysis of parametrically excited systems
매개변수 가진 시스템의 안정서 해석을 위한 무한행렬법
- Hyun, Sang-Hak (Graduate School of Hanyang University) ;
- Yoo, Hong-Hee (Dept. of Mechanical Engineering, Hanyang University)
- Published : 1998.04.01
Abstract
In this paper, an infinite determinant method is presenstd for stability analysis of parametrically excited systems. Unstable regions of the combination parametric resonance as well as principal resonance can be identified with the method. A numerical problem of relatively large amplitude of excitation is solved, and the results of the presented method are compared to those of the multiple scales perturbation method. It is found that the presented method obtains more accurate transition curves which divide stable and unstables in the parameter plane than those of the multiple scales perturbation method.
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