AM  Vol.2 No.8 , August 2011
Analyzing the Stability of a n-DOF System with Viscous Damping
ABSTRACT
In this paper we introduce a numerically stable method for determining the stability of n-DOF system without computing eigenvalues. In this sense, at first we reduce the second-order system to a standard eigenvalue problem with symmetric tridiagonal form. Then we compute the exact inertia by using an algorithm based on floating point arithmetic [1]. Numerical tests report the effectiveness of these methods.

Cite this paper
nullH. Najafi and A. Sheikhani, "Analyzing the Stability of a n-DOF System with Viscous Damping," Applied Mathematics, Vol. 2 No. 8, 2011, pp. 942-946. doi: 10.4236/am.2011.28129.
References
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[3]   A. C. Antoulas and D. C.Sorensen, “Lyapunov, Lanczos and Inertia,” Linear Algebra and Its Applications, Vol. 326, No. 1-3, 2001, pp. 137-150. doi:10.1016/S0024-3795(00)00288-3

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