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  Far East Journal of Theoretical Statistics  
 ISSN: 0972-0863
 
 
 

     Far East Journal of Theoretical Statistics
    Volume 26, Issue 1, Pages 29 - 46 (September 2008)


ENVELOPE PROCESS STATISTICS FOR LINEAR DYNAMIC SYSTEM SUBJECT TO NONSTATIONARY RANDOM VIBRATIONS

Giuseppe Carlo Marano (Italy)

Received January 17, 2008

References:



[1] G. Borino, M. Di Paola and G. Muscolino, Non stationary spectral moments of base excited MDOF systems, Earthquake Eng. Struct. Dyn. 16 (1988), 745-756.

[2] R. B. Corotis, E. H. Vanmarcke and A. C. Cornell, First passage of nonstationary random processes, J. Eng. Mech. Div. 98(2) (1972), 401-414.

[3] S. H. Crandall, K. L. Chandiramani and R. G. Cook, Some first passage problems in random vibration, J. Appl. Mech. 33, Trans. ASME 88 Series E (1966), 532.

[4] S. H. Crandall and W. D. Mark, Random Vibration in Mechanical Systems, Academic Press, New York, 1963.

[5] M. Di Paola, Transient spectral moments of linear systems, SM Archives 10 (1985), 225-243.

[6] M. Di Paola and G. Muscolino, On the convergent parts of spectral moments, J. Sound and Vibration 110 (1986), 233-245.

[7] J. Dugundji, Envelope and pre-envelope of real waveforms, IRE Trans. Inform. Theory 4 (1958), 53-57.

[8] H. O. Krenk and P. H. Madsen, Stationary and transient response envelope, J. Eng. Mech. 109(1) (1983), 263-278.

[9] R. S. Langley, Structural response to non stationary non white stochastic ground motion, Earthquake Eng. Struct. Dyn. 14 (1986), 909-924.

[10] R. S. Langley, On various definitions of the envelope of a random process, J. Sound and Vibration 105(3) (1986), 503-512.

[11] R. S. Langley, Techniques for assessing the lifetime reliability of engineering structures subjected to stochastic loads, Eng. Struct. 9 (1987), 95-103.

[12] L. D. Lutes and S. Sarkani, Random Vibrations: Analysis of Structural and Mechanical Systems, Elsevier Butterworth-Heinemann, Burlington, Mass, 2004.

[13] G. Michaelov, L. D. Lutes and S. Sarkani, Extreme value of response to nonstationary excitation, J. Eng. Mech. 127(4) (2001), 352-363.

[14] G. Michaelov, S. Sarkani and L. D. Lutes, Spectral characteristics of nonstationary random processes - a critical review, Structural Safety 21(3) (1999), 223-244.

[15] G. Michaelov, S. Sarkani and L. D. Lutes, Spectral characteristics of nonstationary random processes - response of a simple oscillator, Structural Safety 21(3) (1999), 245-267.

[16] G. Muscolino, Nonstationary envelope in random vibration theory, J. Eng. Mech. 114(8) (1988), 1396-1413.

[17] N. C. Nigam, Introduction of Random Vibrations, MIT Press, Cambridge, MA, 1983.

[18] A. Papoulis, Probability, Random Variables and Stochastic Processes, 2nd ed., McGraw Hill, New York, 1984.

[19] M. B. Priestley, Evolutionary spectral and nonstationary processes, J. Roy. Statist. Soc. Ser. B 27 (1965), 204-237.

[20] E. H. Vanmarcke, Properties of spectral moments with applications to random vibration, J. Eng. Mech. Div. 98(2) (1972), 425-446

[21] E. H. Vanmarcke, On the distribution of the first-passage time for normal stationary random processes, J. Appl. Mech. 42 (1975), 215-220.

[22] J. N. Yang, Non stationary envelope process and first excursion probability, J. Struct. Mech. 1 (1972), 231-248.

Keywords and phrases: nonstationary random vibrations, envelope process, covariance analysis.

 


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