An equivalent linearization method for nonlinear Van der Pol oscillator subjected to random vibration using orthogonal functions

Author:

Younespour Amir,Ghaffarzadeh Hosein,Azar Bahman Farahmand

Publisher

Springer Science and Business Media LLC

Subject

Control and Optimization,Aerospace Engineering,Control and Systems Engineering

Reference32 articles.

1. A. Nayfeh, D. Mook. Nonlinear Oscillations. New York: John Wiley & Sons, 1995.

2. T. K. Caughey. Response of Van der Pol’s oscillator to random excitations. ASME Journal of Applied Mechanics, 1956, 26: 345–348.

3. R. C. Booton. The analysis of nonlinear control systems with random inputs. IRE Transactions on Circuit Theory, 1954, 1(1): 9–18.

4. I. E. Kazakov. An approximate method for the statistical investigation of nonlinear systems. Trudy VVIA im Prof. N. E. Zhukovskogo, 1954, 394: 1–52

5. M. Apetaur, F. Opicka. Linearization of stochastically excited dynamic systems. Journal of Sound and Vibration, 1983, 86(4): 563–585.

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