Adaptive polynomial chaos expansions applied to statistics of extremes in nonlinear random vibration

Probabilistic Engineering Mechanics

Volumn 13, Issue 2, 1998, Pages 125-136

  Li, R ^a   Ghanem, R ^b  

^a Birdair   (United States)

^b Johns Hopkins University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CHAOS THEORY; COMPUTATIONAL METHODS; NUMERICAL METHODS; POLYNOMIALS; STATISTICAL METHODS; VIBRATIONS (MECHANICAL);

COMPUTATIONAL STOCHASTIC MECHANICS; KARHUNEN LOEVE EXPANSIONS;

STRUCTURAL ANALYSIS;

EID: 0032045223     PISSN: 02668920     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0266-8920(97)00020-9     Document Type: Article

References (14)

1. Ghanem, R. and Spanos, P., Stochastic Finite Elements: A Spectral Approach. Springer, Berlin, 1991.
2. Ghanem, R. and Spanos, P. A stochastic Galerkin expansion for nonlinear random vibration analysis. Probability Engineering Mechanics, 1993, 8, 255-264.
3. Grundmann, H. and Waubke, H., An approach to stochastic linear soil-structure interaction under dynamic loading. Proceedings of ICOSSAR '93: Structural Safety and Reliability, ed. G.I. Schueller, M. Shinozuka and J.T.P. Yao, 1994, pp. 341-348.
4. Ghanem, R. and Brzkala, V. Stochastic finite element analysis for random layered media. Journal of Engineering Mechanics, 1996, 122(4), 361-369.
5. Ghanem, R. and Kruger, R. Numerical solution of spectral stochastic finite element systems. Computer Methods in Applied Mechanical Engineering, 1996, 129, 289-303.
6. Loeve, M., Probability Theory, 4th edn. Springer, Berlin, 1977.
7. Masri, S. and Miller, R. Compact probabilistic representation of random processes. ASME, Journal of Applied Mechanics, 1982, 49, 871-876.
8. Elishakoff, I. Simulation of space-random fields for solution of stochastic boundary-value problems. Journal of the Acoustics Society, 1979, 65, 399-403.
9. Zhang, J. and Ellingwood, B. Orthogonal series expansion of random fields in first-order reliability analysis. ASCE, Journal of Engineering Mechanics, 1994, 120(12), 2660-2677.
10. Jensen, H. and Iwan, W. Response of systems with uncertain parameters to stochastic excitation. ASCE, Journal of Engineering Mechanics, 1992, 118(5), 1012-1025.
11. Shinozuka, M. and Deodatis, G. Simulation of stochastic processes by spectral representation. ASME, Applied Mechanics Review, 1991, 44(4), 191-204.
12. Spanos, P.D. An approach to calculating random vibration integrals. ASME, Journal of Applied Mechanics, 1987, 54, 409-413.
13. Wolfram, S., Mathematica: A System for Doing Mathematics on the Computer, 2nd edn. Addison Wesley, Reading, MA, 1991.
14. Dham, S. and Ghanem, R., Finite element analysis of multiphase flow in porous media with the polynomial chaos expansion. Second International Conference on Computational Stochastic Mechanics, Athens, Greece, June, 1994.