Closed-form solutions for the response of linear systems to fully nonstationary earthquake excitation

Journal of Engineering Mechanics

Volumn 124, Issue 6, 1998, Pages 684-693

  Peng, B F ^a   Conte, J P ^b,c  

^a McDermott Engineering Houston LLC   (United States)

^b RICE UNIVERSITY   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

SEISMIC RESPONSE; STRUCTURAL RESPONSE;

EID: 0031662092     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(asce)0733-9399(1998)124:6(684)     Document Type: Article

References (23)

1. Caughey, T. K., and O'Kelly, M. E. J. (1965). Classical normal modes in damped linear dynamic systems. J. Appl. Mech., 32(3), 583-588.
2. Conte, J. P., and Peng, B.-F. (1996). An explicit closed-form solution for linear systems subjected to nonstationary random excitation. Probabilistic Engrg. Mech., Essex, U.K., 11(1), 37-50.
3. Conte, J. P., and Peng, B.-F. (1997). Fully nonstationary analytical earthquake ground motion model. J. Engrg. Mech., ASCE, 123(1), 15-24.
4. DebChaudhury, A., and Gasparini, D. A. (1980). State space random vibration theory. Res. Rep. ENG 77-19364, Dept. of Civ. Engrg., Case Inst. of Technol., Cleveland, OH.
5. Der Kiureghian, A. (1980). Structural response to stationary excitation. J. Engrg. Mech., ASCE, 106(6), 1195-1213.
6. Foss, K. A. (1958). Coordinates which uncouple the equations of motion of damped linear dynamic systems. J. Appl. Mech., 25(3), 361-364.
7. Hurty, W. C., and Rubinstein, M. F. (1964). Dynamics of structures. Prentice-Hall, Englewood Cliffs, N.J.
8. Igusa, T. (1992). Nonstationary response of structures with closely spaced frequencies. J. Engrg. Mech., ASCE, 118(7), 1387-1405.
9. Igusa, T., Der Kiureghian, A., and Sackman, J. L. (1984). Modal decomposition method for stationary response of non-classically damped systems. Earthquake Engrg. and Struct. Dynamics, 12(1), 121-136.
10. Lin, Y. K. (1967). Probabilistic theory of structural dynamics. McGrawHill Inc., New York, N.Y.; Krieger Publishing Co., Melbourne, Fla., 1976.
11. Lutes, L. D. (1986). State space analysis of stochastic response cumulants. Probabilistic Engrg. Mech., 1(2), 94-98.
12. Lutes, L. D., and Chen, D. C. K. (1992). Stochastic response moments for linear systems. Probabilistic Engrg. Mech., 7(3), 165-173.
13. Mau, S. T. (1988). A subspace modal superposition method for nonclassically damped systems. Earthquake Engrg. and Struct. Dynamics, 16(6), 931-942.
14. Papadimitriou, C., and Lutes, L. D. (1994). Approximate analysis of higher cumulants for multi-degree-of-freedom vibration. Probabilistic Engrg. Mech., 9(1-2), 71-82.
15. Peng, B.-F. (1996). Nonstationary ground motion model and applications to analysis and design of earthquake-resistant structures, PhD thesis, Rice University, Dept. of Civ. Engrg., Houston, Tex.
16. Pradlwarter, H. J., and Wenlung, L. (1991). On the computation of the stochastic response of highly nonlinear large MDOF systems modeled by finite elements. Probabilistic Engrg. Mech., 6(2), 109-116.
17. Priestley, M. B. (1987). Spectral analysis and time series, Volume 1: univariate series, Volume 2: multivariate series, prediction and control. Academic Press, Inc., San Diego.
18. Reid, J. G. (1983). Linear system fundamentals: continuous and discrete, classic and modem. McGraw-Hill, Inc., New York, N.Y.
19. Roberts, J. B., and Spanos, P. D. (1990). Random vibration and statistical linearization. John Wiley & Sons, West Sussex, U.K.
20. Singh, M. P. (1980). Seismic response by SRSS for non-proportional damping. J. Engrg. Mech., ASCE, 106(6), 1405-1419.
21. Spanos, P. D. (1983). Spectral moment calculation of linear system output. J. Appl. Mech., 50(4a), 901-903.
22. Veletsos, A. S., and Ventura, C. E. (1986). Modal analysis of non-classically damped structures. Earthquake Engrg. and Struct. Dynamics, 14(2), 217-243.
23. Wen, Y.-K. (1980). Equivalent linearization for hysteretic systems under random excitation. J. Appl. Mech., 47(1), 150-153.