Non-probabilistic interval analysis method for dynamic response analysis of nonlinear systems with uncertainty

Journal of Sound and Vibration

Volumn 319, Issue 1-2, 2009, Pages 531-540

  Qiu, Zhiping ^a   Ma, Lihong ^a   Wang, Xiaojun ^a  

^a BEIHANG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMIC RESPONSE; NONLINEAR ANALYSIS; NUMERICAL METHODS; PROBABILITY DISTRIBUTIONS;

DYNAMIC RESPONSE ANALYSIS; INTERVAL ANALYSIS METHOD; INTERVAL MATHEMATICS; NONLINEAR VIBRATION SYSTEMS; PROBABILISTIC DENSITY; STATISTICAL QUANTITY; TAYLOR SERIES EXPANSIONS; UNCERTAIN PARAMETERS;

UNCERTAINTY ANALYSIS;

EID: 56749169418     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2008.06.006     Document Type: Article

References (18)

1. M. Shínozuka, Maximum structural response to seismic excitations, Journal of Engineering Mechanics 96 (5) (1970) 729-738.
2. S.H. Chen, Z.S. Liu, Z.F. Zhang, Random vibration analysis for large-scale structures with random parameters, Computers & Structures 43 (4) (1992) 681-685.
3. J. Li, S.T. Liao, Response analysis of stochastic parameter structures under non-stationary random excitation, Computational Mechanics 27 (2001) 61-68.
4. S.H. Chen, H.D. Lian, X.W. Yang, Dynamic response analysis for structures with interval parameters, Structural Engineering and Mechanics 13 (3) (2002) 299-312.
5. Z.P. Qiu, X.J. Wang, Comparison of dynamic response of structures with unccrtain-but-bounded parameters using non-probabilistic approach, International Journal of Solids and Structures 40 (2003) 5423-5439.
6. Z.P. Qiu, X.J. Wang, Parameter perturbation method for dynamic responses of structures with uncertain-but-bounded parameters based on interval analysis, International Journal of Solids and Structures 42 (18-19) (2005) 4958-4970.
7. J. Wu, Y.Q. Zhao, S.H. Chen, An improved interval analysis method for uncertain structures. Structural Engineering and Mechanics 20 (6) (2005) 713-726.
8. B.C. Wen, Y.M. Zhang, Q.L. Liu, Response of uncertain nonlinear vibration systems with 2D matrix functions, Nonlinear Dynamics 8 (1998) 179-190.
9. N. Impollonia, G. Muscolino, Static and dynamic analysis of non-linear uncertain structures, Meccanica 37 (1-2) (2002) 179-192.
10. H.J. Pradlwarter, G.J. Schueller, C.A. Schecnk, A computational procedure to estimate the stochastic dynamic response of large nonlinear, Computer Methods in Applied Mechanics and Engineering 192 (7-8) (2003) 777-801.
11. J.B. Chen, J. Li, Dynamic response and reliability analysis of non-linear stochastic structures, Probabilistic Engineering Mechanics 20 (1) (2005) 33-44.
12. J. Li, J.B. Chen, The probability density evolution method for dynamic response analysis of non-linear stochastic structures, International Journal for Numerical Methods in Engineering 65 (6) (2006) 882-903.
13. G.Q. Cai, Y.K. Lin, An improved equivalent linearization procedure for non-linear systems under bounded random excitations, Structural Control and Health Monitoring 13 (2006) 336-346.
14. H.N. Pishkenari, et al., Nonlinear dynamic analysis of atomic force microscopy under deterministic and random excitation, Chaos, Solitons & Fractals 37 (3) (2008) 748-762.
15. X.Y. Guo, Y.Y. Lee, C. Mci, Non-linear random response of laminatcd composite shallow shells using finite element modal method, International Journal for Numerical Methods in Engineering 67 (2006) 1467-1489.
16. D. Kumar, T.K. Datta, Response of nonlinear systems in probability domain using stochastic averaging. Journal of Sound and Vibration 302 (2007) 152-166.
17. G. Alefeld, J. Herzberger. Introductions to Interval Computations, Academic Press, New York. 1983.
18. R.E. Moore, Methods and Applications of Interval Analysis, Prentice-Hall, Inc., London, 1979.