Seismic response of SDOF systems by wavelet modeling of nonstationary processes

Journal of Engineering Mechanics

Volumn 124, Issue 10, 1998, Pages 1142-1150

  Basu, Biswajit ^a   Gupta, Vinay K ^b  

^a JADAVPUR UNIVERSITY   (India)

^b INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); DYNAMIC RESPONSE; MATHEMATICAL MODELS; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES; SOIL STRUCTURE INTERACTIONS; STRUCTURAL ANALYSIS; VIBRATIONS (MECHANICAL); WAVELET TRANSFORMS;

ORTHOGONAL BASIS FUNCTIONS; WAVELET-BASED RANDOM VIBRATION THEORY;

EARTHQUAKE RESISTANCE;

SEISMIC RESPONSE;

EID: 0032193204     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9399(1998)124:10(1142)     Document Type: Article

References (44)

1. Alkemade, J. A. H. (1993). "The finite wavelet transform with an application to seismic processing." Wavelets: An elementary treatment of theory and applications, T. H. Koornwinder, ed., World Scientific, New Jersey, 183-208.
2. Barnoski, R. L., and Maurer, J. R. (1969). "Mean-square response of simple mechanical systems to nonstationary random excitation." J. Appl. Mech., ASME, 221-227.
3. Basu, B., and Gupta, V. K. (1995). "A probabilistic assessment of seismic damage in ductile structures." Earthquake Engrg. Struct. Dynamics, 24, 1333-1342.
4. Basu, B., and Gupta, V. K. (1997). "Non-stationary seismic response of MDOF systems by wavelet transform." Earthquake Engrg. Struct. Dynamics, 26, 1243-1258.
5. Battle, G. (1987). "A block spin construction of ondelettes. Part I: Lemarié functions." Comm. Math. Phys., 110, 601-615.
6. Borino, G., Di Paola, M., and Muscolino, G. (1988). "Non-stationary spectral moments of base excited MDOF systems." Earthquake Engrg. Struct. Dynamics, 16, 745-756.
7. Buciarelli Jr., L. L., and Kuo, C. (1970). "Mean square response of a second order system to nonstationary random excitation." J. Appl. Mech., ASME, 37(3), 612-616.
8. Cartwright, D. E., and Longuet-Higgins, M. S. (1956). "The statistical distribution of maxima of a random function." Proc., Royal Soc. London, A 237, 212-232.
9. Caughey, T. K., and Stumpf, H. J. (1961). "Transient response of a dynamic system under random excitation." J. Appl. Mech., Trans., ASME, 28, 563-566.
10. Chui, C. K. (1992). An introduction to wavelets. Academic Press, Inc., San Diego, Calif.
11. Conte, J. P., and Peng, B. F. (1997). "Fully nonstationary analytical earthquake ground-motion model." J. Engrg. Mech., ASCE, 123(1), 15-24.
12. Crandall, S. H., Chandiramani, K. L., and Cook, R. G. (1966). "Some first passage problems in random vibration." J. Appl. Mech., ASME, 33, 532.
13. Daubechies, I. (1992). Ten lectures on wavelets. Society for Industrial and Applied Mathematics, Philadelphia, Pa.
14. Ditlevesen, O. (1971). "Extremes and first passage time with applications in civil engineering," PhD thesis, Technical University of Denmark, Copenhagen, Denmark.
15. Gasparini, D. A. (1979). "Response of MDOF systems to nonstationary random excitation." J. Engrg. Mech. Div., ASCE, 105(1), 13-27.
16. Gasparini, D., and DebChaudhury, A. (1980). "Dynamic response to non-stationary non-white excitation." J. Engrg. Mech. Div., ASCE, 106(6), 1233-1248.
17. Gaupillaud, P., Grossmann, A., and Morlet, J. (1984). "Cycle-octave and related transforms in seismic signal analysis." Geoexploration, 23, 85-102.
18. Grigoriu, M., Ruiz, S. E., and Rosenblueth, E. (1988). "The Mexico earthquake of September 19, 1985 - Nonstationary models of seismic ground acceleration." Earthquake Spectra, 4(3), 551-568.
19. Grossmann, A., and Morlet, J. (1984). "Decomposition of Hardy functions into square integrable wavelets of constant shape." SIAM J. Math. Anal., 15, 723-736.
20. Gupta, I. D., and Trifunac, M. D. (1988). "Order statistics of peaks in earthquake response." J. Engrg. Mech., ASCE 114(10), 1605-1627.
21. Gupta, V. K. (1994). "Stochastic approach to seismic floor spectra in nuclear power plants." Rep. 94-02, Dept. of Civ. Engrg., I.I.T. Kanpur, Kanpur, India.
22. Gupta, V. K., and Trifunac, M. D. (1993). "A note on the effects of ground rocking on the response of buildings during 1989 Loma Prieta earthquake." Earthquake Engrg. Engrg. Vibration, 13(2), 12-28.
23. Heil, C., and Walnut, D. (1989). "Continuous and discrete wavelet transforms." SIAM Rev., 31, 628-666.
24. Iwan, W. D., and Hou, Z. K. (1989). "Explicit solutions for the response of simple systems subjected to nonstationary random excitation." Struct. Safety, 6, 77-86.
25. Kubo, T., and Penzien, J. (1979). "Simulation of three-dimensional strong ground motions along principal axes, San Fernando earthquake." Earthquake Engrg. Struct. Dynamics, 7, 279-294.
26. Lee, V. W., and Trifunac, M. D. (1985). "Torsional accelerograms." Soil Dynamics Earthquake Engrg., 4(3), 132-139.
27. Lee, V. W., and Trifunac, M. D. (1987). "Rocking strong earthquake accelerograms." Soil Dynamics Earthquake Engrg., 6(2), 75-89.
28. Lee, V. W., and Trifunac, M. D. (1989). "A note on filtering strong motion accelerograms to produce response spectra of specified shape and amplitude." Eur. Earthquake Engrg., III(2), 38-45.
29. n)." J. de Math. Pures et Appl., 67, 227-236.
30. Lin, Y. K., and Yong, Y. (1987). "Evolutionary Kanai-Tajimi earthquake models." J. Engrg. Mech., ASCE, 113(8), 1119-1137.
31. Mallat, S. (1989). "Multiresolution approximation and wavelets." Trans. Am. Math. Soc., 315, 69-88.
32. Meyer, Y. (1992). Wavelets and operators. Cambridge Univ. Press., New York.
33. Muscolino, G. (1988). "Nonstationary envelope in random vibration theory." J. Engrg. Mech., ASCE, 114(8), 1396-1413.
34. Newland, D. E. (1993). An introduction to random vibrations, spectral and wavelet analysis. Longman, London, U.K.
35. Newland, D. E. (1994a). "Wavelet analysis of vibration, Part 1: Theory." J. Vibration and Acoustics, Trans., ASME, 116, 409-416.
36. Newland, D. E. (1994b). "Wavelet analysis of vibration, Part 2: Wavelet maps." J. Vibration and Acoustics, Trans., ASME. 116, 417-425.
37. Quek, S.-T., Teo, Y.-P., and Balendra, T. (1990). "Non-stationary structural response with evolutionary spectra using seismological input model." Earthquake Engrg. Struct. Dynamics, 19, 275-288.
38. Saragoni, G. R., and Hart, G. C. (1972). "Nonstationary analysis and simulation of earthquake ground motions." Rep. No. UCLA-ENG-7238, Earthquake Engrg. and Struct Lab., University of California, Los Angeles, Calif.
39. Senthilnathan, A., and Lutes, L. D. (1991). "Nonstationary maximum response statistics for linear structures." J. Engrg. Mech., ASCE, 117(2), 294-311.
40. n as unconditional bases for Hardy spaces." Conf. in Honor of A. Zygmund, Vol. II, W. Beckner et al., eds., Wadsworth Math. Series, 475-493.
41. Todorovska, M. I., Gupta, I. D., Gupta, V. K., Lee, V. W., and Trifunac, M. D. (1995). "Selected topics in probabilistic seismic hazard analysis." Rep. CE 95-08, Dept. of Civ. Engrg., University of Southern California, Los Angeles, Calif.
42. Trifunac, M. D. (1990). "Curvograms of strong ground motions." J. Engrg. Mech., ASCE, 116(6), 1426-1432.
43. Vanmarcke, E. H. (1975). "On the distribution of the first-passage time for normal stationary random processes." J. Appl. Mech., Trans., ASME, 42, 215-220.
44. Wong, H. L., and Trifunac, M. D. (1979). "Generation of artificial strong motion accelerograms." Earthquake Engrg. Struct. Dynamics, 7, 509-527.