Author(s)

Hashem Saberi Najafi, Amir Hosein Refahi Sheikhani

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Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran.

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.

n-DOF System, Inertia, Stability, Lanczos

H. 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.