A LINEARIZATION TECHNIQUE FOR NONLINEAR SDOF SYSTEMS BASED ON BLOCK PULSE TRANSFORM

Document Type : Research Paper

Author

Faculty of Civil Engineering, University of Tabriz, Tabriz, Iran

Abstract

This paper addresses a linearization technique for a single degree of freedom (SDOF) linearizable
nonlinear system based on block pulse (BP) transform. The BP transform gives effective tools to
simplify control and system problems. The main goal of this work is on using BP transform
properties in process of linearization of nonlinear problems. It is necessary to compare the results
obtained using this method with other traditional methods to verify the effectiveness of the proposed
method. The efficiency of BP transform method compared with the traditional equivalent
linearization (EL) method. Both numerical simulations are applied to the Duffing nonlinear
oscillator system to demonstrate the feasibility of the proposed method based on BP transform.
Finally, the results of the comparison between the approaches depicted the proposed method is able
to approximate the nonlinear systems behavior. The results showed the superiority of the proposed
approach in the sense that it is more accurate by computational advantageous.

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