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EQUIVALENT LINEARIZATION TECHNIQUES OF NON-LINEAR ROTORS

10.15660/AUOFMTE.2014-1.2994

Dumitru NICOARA

Volume XXIII (XIII), 2014/1

—In this paper I present a new method for linearization of non-linear model of rotor - bearing systems. The model consists of a rotor treated as a continuous elastic shaft with several rigid disks, supported on the bearings with a non-linear behavior. The linearization method is based by optimizations principle. The linearization process by optimization methods, optimal linearization or equivalent linearization, means the replacing of the nonlinear system by an equivalent linear system. The equivalent linear system is obtained by finding of an equivalent stiffness matrix. The elements of the equivalent stiffness matrix are obtained by minimizing the cost functional defined as an error between the numerical solution of the nonlinear system and the linear system solution.

Keywords: finite element, non-linear bearing, non-linear programming, rotor dynamics, vibrations

ISSN 1583-0691, CNCSIS "Clasa B+"