TITLE:
Analyzing the Stability of a n-DOF System with Viscous Damping
AUTHORS:
Hashem Saberi Najafi, Amir Hosein Refahi Sheikhani
KEYWORDS:
n-DOF System, Inertia, Stability, Lanczos
JOURNAL NAME:
Applied Mathematics,
Vol.2 No.8,
August
3,
2011
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.