A subtle error in conventional stochastic linearization techniques

Chaos, Solitons and Fractals

Volumn 9, Issue 3, 1998, Pages 479-491

  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

ERROR CORRECTION; LINEARIZATION; RANDOM PROCESSES;

QUINTIC OSCILLATOR; STOCHASTIC LINEARIZATION;

CHAOS THEORY;

EID: 0032024144     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(97)00086-6     Document Type: Article

References (9)

1. Socha, L. and Soong, T. T., Linearization in analysis of nonlinear stochastic systems. Applied Mechanics Reviews, 1991, 441, 399-422.
2. Elishakoff, I., Some results in stochastic linearization of nonlinear systems. In Nonlinear Dynamics and Stochastic Mechanics, eds W. Kliemann and S. Namachchivaya. CRC Press, Boca Raton, FL, 1995, pp. 259-281.
3. Elishakoff, I. and Colajanni, P., Stochastic linearization critically re-examined. Chaos, Solitons & Fractals, 1997, 8, 1957-1972.
4. Lin, Y. K., Probabilistic Theory of Structural Dynamics. McGraw-Hill, New York, 1967.
5. Piszczek, K. and Niziol, J., Random Vibration of Mechanical System. John Wiley, New York, 1986.
6. Wang, C. and Zhang, X. T., An improved equivalent linearization technique in nonlinear random vibration. In Proceedings of International Conference on Nonlinear Mechanics, 1985, pp. 959-964.
7. Elishakoff, I., Method of stochastic linearization revised and improved. In Computational Stochastic Mechanics, eds P. D. Spanos and C. A. Brebbia, Computational Mechanics Publications, Southampton, UK, 1991, pp. 101-111.
8. Elishakoff, I. and Zhang, R., Comparison of the new energy-based versions of the stochastic linearization technique. In Nonlinear Stochastic Mechanics, eds N. Bellomo and F. Casciati, Springer-Verlag, Berlin, 1992, pp. 201-212.
9. Gradsteyn, I. S. and Ryzhik, I. M. In Table of Integrals, Series and Products, ed. Alan Jeffry. Academic Press, New York, 1980, p. 1039.