A new equivalent nonlinearization method for random vibrations of nonlinear systems

Mechanics Research Communications

Volumn 23, Issue 2, 1996, Pages 131-136

  Zhao, Lei ^a   Chen, Qiu ^b  

^a SOUTHWEST JIAOTONG UNIVERSITY   (China)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042040719     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/0093-6413(96)00004-3     Document Type: Article

References (12)

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3. J. B. Roberts, and P. D. Spanos, Random Vibrations and Statistical Linearization. John Wiley & Sons, New York, 1990
4. G. Q. Cai, and Y. K. Lin, A new approximate solution technique for randomly excited nonlinear oscillators. Int. J. Non-Lin. Mech., 23(5/6), 1988: 409-420
5. W. Q. Zhu, and J. S. Yu, The equivalent nonlinear system method, J. Sound Vib., 129 (3), 1989: 385-395
6. R. V. Roy, and P. D. Spanos, Padé-type approach to nonlinear random vibration analysis. Prob. Eng. Mech., 6(3/4), 1991: 119-128
7. C. W. S. To, and M. D. Li, Equivalent nonlinearization of nonlinear systems to random excitation. Prob. Eng. Mech., 6(3/4), 1991: 184-192
8. M. G. Donley, and P. D. Spanos, Dynamic analysis of non-linear structures by the method of statistical quadratization. Lecture Notes in Engineering, Vol. 57, Springer-Verlag, New York, 1990
9. P. D. Spanos, and M. G. Donley, Equivalent statistical quadratization for nonlinear systems. J. Eng. Mech., 117(6), 1991: 1289-1310
10. P. D. Spanos, and M. G. Donley, Non-linear multi-degree-of-freedom system random vibration by equivalent statistical quadratization. Int. J. Non-Lin. Mech., 27(5), 1992: 735 -748
11. W. D. Iwan, and I. -M. Yang, Application of statistical linearization techniques to nonlinear multidegree-of-freedom systems. J. Appl. Mech., 39(2), 1972: 545-550
12. T. K. Caughey, Nonlinear theory of random vibrations, in Advances in Applied Mechanics. Vol. 11, Academic Press, New York, 1971