A new look at the stochastic linearization technique for hyperbolic tangent oscillator

Chaos, Solitons and Fractals

Volumn 9, Issue 9, 1998, Pages 1611-1623

  Colajanni, P ^a   Elishakoff, I ^b  

^a UNIVERSITY OF PALERMO   (Italy)

^b Florida Atlantic Univ   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

LINEARIZATION; NUMERICAL ANALYSIS; OPTIMIZATION; POTENTIAL ENERGY; RANDOM PROCESSES;

HYPERBOLIC TANGENT OSCILLATORS; STOCHASTIC LINEARIZATION;

OSCILLATORS (MECHANICAL);

EID: 0032155228     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(97)00188-4     Document Type: Article

References (8)

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3. Roberts, J. B. and Spanos, P. D., Random Vibration and Statistical Linearization. Chichester, John Wiley, 1990.
4. Socha, L. and Soong, T. T., Linearization in analysis of nonlinear stochastic systems. Applied Mechanics Reviews, 1991, 44(1), 399-422.
5. Elishakoff, I., Some results in stochastic linearization of nonlinear systems. In Nonlinear Dynamics and Stochastic Mechanics, ed. W. Kliemann and S. Namachchivaya. CRC Press, Boca Raton, 1995, pp. 259-281.
6. Wang, C. and Zhang, X. T., An improved equivalent linearization technique in nonlinear random vibration. In Proceedings of the International Conference on Nonlinear Mechanics, 1985, pp. 1959-1964.
7. Elishakoff, I. and Zhang, R., Comparison of the new energy-based versions of the stochastic linearization technique. In Nonlinear Stochastic Mechanics, ed. N. Bellomo and F. Casciati. Springer-Verlag, Berlin, 1992, pp. 201-212.
8. Zhang, X., Elishakoff, I. and Zhang, R., A stochastic linearization technique based on minimum mean square deviation of potential energies. In Stochastic Structural Dynamics 1, ed. Y. K. Lin and I. Elishakoff. Springer-Verlag, Berlin, 1992, pp. 327-338.