Prediction of uncertain frequency response function bounds using polynomial chaos expansion

Journal of Sound and Vibration

Volumn 329, Issue 16, 2010, Pages 3348-3358

  Manan, A ^a   Cooper, J E ^a  

^a UNIVERSITY OF LIVERPOOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

AIRCRAFT COMPOSITES; COMPLEX AMPLITUDE; CURVE-FIT; DAMPING RATIO; ERROR BOUND; FINITE ELEMENT MODELS; FREQUENCY-RESPONSE FUNCTIONS; HYPERCUBE; MONTE CARLO SIMULATION; NON-INTRUSIVE; POLYNOMIAL CHAOS EXPANSION; PROBABILISTIC METHODS; REGRESSION MODEL; SHEAR MODULUS; UNCERTAINTY BOUNDS; UNCERTAINTY MODELS; YOUNG'S MODULUS;

COMPUTER SIMULATION; ELASTIC MODULI; ELASTICITY; FORECASTING; FREQUENCY RESPONSE; MONTE CARLO METHODS; REGRESSION ANALYSIS;

FINITE ELEMENT METHOD;

EID: 77950595334     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2010.01.008     Document Type: Article

References (25)

1. Hunter A., and Parsons S. Applications of Uncertainty Formalisms (1998), Springer, New York pp. 8-32
2. Ang A.H.S., and Tang W.K. Probability Concepts in Engineering Planning and Design, Vol. I and II, Basic Principles (1984), John Wiley and Sons, Inc., NY
3. Wood K.L., Otto K.N., and Antonsson E.K. Engineering design calculations with fuzzy parameters. Fuzzy Sets and Systems 52 (1992) 1-20
4. Shafer G. A Mathematical Theory of evidence (1976), Princeton University Press, Princeton, NJ
5. Bae H., Grandhi R.V., and Canfield R.A. An approximation approach for uncertainty quantification using evidence theory. Reliability engineering and system safety 86 (2004) 215-225
6. Soundappan P., Nikolaidis E., Haftka R.T., Grandhi R.V., and Canfield R. Comparison of evidence theory and Bayesian theory for uncertainty modelling. Reliability Engineering and System Safety 85 (2004) 295-311
7. Ben-Haim Y., and Elishakoff I. Convex Models of Uncertainty in Applied Mechanics (1990), Elsevier Science Publishers B.V
8. Ben-Haim Y. Information-gap Decision Theory: Decisions Under Severe Uncertainty (2001), Academic Press
9. M. De Munck., D. Moens., W. Desmet, D. Vandepetti, An adaptive Kriging based optimisation for interval and fuzzy FRF analysis., in: International conference of noise and vibration engineering Ketholieke Universitiet Leuven, Belgium (ISMA 2008) pp. 3767-3776.
10. K. Mendrok, L. Pieczonka, T. Uhl, Assessment of uncertainty of experimentally obtained modal parameters, in: International conference of noise and vibration engineering Ketholieke Universitiet Leuven, Belgium (ISMA 2008) pp. 3899-3910.
11. Coppotelli. G. On the estimate of FRFs from operational data. Mechanical Systems and Signal Processing 23 2 (February 2009) 288-299
12. X. Liu, N.A.J. Lieven, P.J. Escamilla-Ambrosio, Frequency response function shape-based methods for structural damage localisation, Mechanical Systems and Signal Processing 23 (4) (2009) 1243-1259.
13. Ghanem R.G., and Spanos P.D. Stochastic Finite Elements: A Spectral Approach (1991), Springer-Verlag, New York Inc.
14. A. Manan, J.E. Cooper, Uncertainty of Composite Wing Aeroelastic Behaviour, 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Victoria, British Columbia, Sep. 10-12, 2008.
15. Manan A., and Cooper J.E. Design of Composite wing by including uncertainties: a probabilistic approach. Journal of Aircraft 46 2 (2009) 601-607
16. Hover F.S., and Triantafyllou. M.S. Application of polynomial chaos in stability and control. Automatica 42 (2006) 789-795
17. A.H.C. Smith, Robust and Optimal Control using Polynomial Chaos Theory, Ph.D. thesis, University of South Carolina, 2007.
18. Mathellin. L., Hussaini M.Y., and Zang. T.A. Stochastic approaches to uncertainty quantification in CFD simulations. Numerical Algorithms 38 (2005) 209-236
19. Knioa O.M., and Le Maître O.P. Uncertainty propagation in CFD using polynomial chaos decomposition. Journal of Fluid Dynamics Research 38 (2006) 616-640
20. Choi S.K., Grandhi R.V., Canfield R.A., and Pettit C.L. Polynomial chaos expansion with latin hypercube sampling for estimating response variability. AIAA Journal 42 6 (June 2004) 1191-1198
21. D.J. Ewins, Modal Testing-Theory, Practice and Application, Research Studies Press Ltd.
22. M.H. Richardson, D.L. Fermenti. Parameter Estimation From Frequency Response Measurements using Rational Fraction Polynomials, 1st IMAC conference, Orlando, Florida, November, 1982.
23. Wiener N. The Homogeneous Chaos. American Journal of Mathematics 60 4 (October 1938) 897-936
24. Ito K. Multiple wiener integrals. Journal of Mathematical Society. Japan 3 (1951) 157-169
25. Mckay. M.D., Beckman R.J., and Conover W.J. A comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics 21 2 (May 1979) 239-245