Transient waves in composite-laminated plates with uncertain load and material property

International Journal for Numerical Methods in Engineering

Volumn 75, Issue 3, 2008, Pages 253-274

  Han, X ^a   Jiang, Chaoem ^a   Gong, S ^a   Huang, Y H ^a  

^a HUNAN UNIVERSITY   (China)

Author keywords

Composite laminated plate; Hybrid numerical method; Interval; Transient responses; Uncertainty

Indexed keywords

CHAOTIC SYSTEMS; ELASTIC CONSTANTS; LAMINATING; NUMERICAL ANALYSIS; NUMERICAL METHODS; PARAMETER ESTIMATION; SENSITIVITY ANALYSIS; TRANSIENT ANALYSIS; WAVE PROPAGATION;

COMPOSITE-LAMINATED PLATE; FIRST DERIVATIVES; FIRST ORDERS; HYBRID NUMERICAL METHOD; HYBRID NUMERICAL METHODS; INTERVAL; INTERVAL ANALYSIS; INTERVAL EXTENSION; INTERVAL MATHEMATICS; LAMINATED PLATES; LINEAR FUNCTIONS; LOWER AND UPPER BOUNDS; MATE RIAL PROPERTIES; NUMERICAL EXAMPLES; PRESENT METHOD; TAYLOR EXPANSIONS; TRANSIENT RESPONSES; TRANSIENT WAVES; UNCERTAIN PARAMETERS; UNCERTAINTY; WAVE PROPAGATION PROBLEMS;

UNCERTAINTY ANALYSIS;

EID: 48449097203     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2248     Document Type: Article

References (29)

1. Pao YH. The generalized ray theory and transient responses of layered elastic solids. Physical Acoustics 1977; 8(6):184-240.
2. Van der Hijden JHMT. Propagation of Transient Elastic Waves in Stratified Anisotropic Media. North-Holland: Amsterdam, 1987.
3. Booth DC, Grampin S. The anisotropic reflectivity technique: theory. Geophys, Journal of Royal Astrophysics Society 1983; 72:755-766.
4. Scott RA, Miklowitz J. Transient elastic waves in anisotropic plates. Journal of Applied Mechanics (ASME) 1967; 34:104-110.
5. Liu GR, Tani J, Ohyoshi T, Watanabe K. Transient waves in anisotropic laminated plates, part 1: theory, part 2: application. Journal of Vibration and Acoustics 1991; 113:230-239.
6. Liu GR, Xi ZC. Elastic Waves in Anisotropic Laminates. CRC Press: Boca Raton, FL, 2002.
7. Han X, Liu GR, Xi ZC, Lam KY. Transient waves in a functionally graded cylinder. International Journal of Solids and Structures 2001; 38(17):3021-3037.
8. Han X, Liu GR, Lam KY. Transient waves in plates of functionally graded materials. International Journal for Numerical Methods in Engineering 2001; 52:851-865.
9. Han X, Xu D, Liu GR. Transient responses in a functionally graded cylindrical shell to a point load. Journal of Sound and Vibration 2002; 251(5):783-805.
10. Oh DH, Librescu L. Free vibration and reliability of composite cantilevers featuring uncertain properties. Reliability Engineering and System Safety 1997; 56:265-272.
11. Qiu ZP. Convex models and interval analysis method to predict the effect of uncertain-but-bounded parameters on the buckling of composite structures. Computer Methods in Applied Mechanics and Engineering 2005; 194:2175-2189.
12. Kleber M, Hien HD. The Stochastic Finite Element Method: basic Perturbation Technique and Computer Implementation. Wiley: Chichester, 1992.
13. Li J, Liao ST. Response analysis of stochastic parameter structures under non-stationary random excitation. Computational Mechanics 2001; 27:61-68.
14. Elman HC, Ernst OG, O'Leary DP, Stewart M. Efficient iterative algorithms for the stochastic finite element method with application to acoustic scattering. Computer Methods in Applied Mechanics and Engineering 2005; 194(9-11):1037-1055.
15. Allegri G, Corradi S, Marchetti M. Stochastic analysis of the vibrations of an uncertain composite miss for space applications. Composites Science and Technology 2006; 66(2):273-282.
16. Ben-Haim Y, Elishakoff I. Convex Models of Uncertainties in Applied Mechanics. Elsevier: Amsterdam, 1990.
17. Elishakoff I, Lin YK, Zhu LP. Probabilistic and Convex Models of Uncertainty in Acoustically Excited Structures. Elsevier: Amsterdam, 1994.
18. Ben-Haim Y. The Robust Reliability in the Mechanical Sciences. Springer: Berlin, 1996.
19. Au FTX, Cheng YS, Tham LG, Zeng GW. Robust design of structures using convex models. Computers and Structures 2003; 81(28-29):2611-2619.
20. Attoh-Okine NO. Uncertainty analysis in surface micromachined force gauges: convex model approach. Journal of Aerospace Engineering 2004; 17(1):40-44.
21. Qiu ZP. Interval analysis for static response and eigenvalue problem of structures with uncertain parameters. Ph.D. Dissertation, Jilin University, China, 1994.
22. Qiu ZP, Wang XJ. Comparison of dynamic response of structures with uncertain non-probabilistic interval analysis method and probabilistic approach. International Journal of Solids and Structures 2003; 40:5423-5439.
23. Wu J, Zhao YQ, Chen SH. An improved interval analysis method for uncertain structures. Structural Engineering and Mechanics 2005; 20(6):713-726.
24. Zhou YT, Jiang C. Interval and subinterval analysis methods of the structures and their error estimations. International Journal of Computational Methods 2006; 3(2):229-244.
25. Jiang C, Han X, Guan FJ, Li YH. An uncertain structural optimization method based on nonlinear interval number programming and interval analysis method. Engineering Structures 2007; 29:3168-3177.
26. Jiang C, Han X, Liu GR. Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval. Computer Methods in Applied Mechanics and Engineering 2007; 196:4791-4800.
27. Herakovich CT. Mechanics of Fibrous Composites. Wiley: New York, 1998.
28. Moore RE. Methods and Applications of Interval Analysis. Prentice-Hall: London, 1979.
29. Xu YG, Liu GR, Wu ZP. A novel hybrid genetic algorithm using local optimizer based on heuristic pattern move. Applied Artificial Intelligence 2001; 15:601-631.