A LINEARIZATION TECHNIQUE FOR NONLINEAR SDOF SYSTEMS BASED ON BLOCK PULSE TRANSFORM | ||||
| JES. Journal of Engineering Sciences | ||||
| Article 2, Volume 43, No 2, March and April 2015, Page 200-210 PDF (492.5 K) | ||||
| Document Type: Research Paper | ||||
| DOI: 10.21608/jesaun.2015.115166 | ||||
 View on SCiNiTO | ||||
| Author | ||||
| Hosein Ghaffarzadeh | ||||
| 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. | ||||
| Keywords | ||||
| Linearization; block pulse transform; nonlinearity; Duffing oscillator | ||||
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