Skip to main content
SpringerLink
Log in
Book cover

IUTAM Symposium on the Vibration Analysis of Structures with Uncertainties pp 15–28Cite as

Quantification of uncertain and variable model parameters in non-deterministic analysis

  • Conference paper

Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 27))

Abstract

A multitude of models for non-deterministic structural analysis have been developed. They are all designed to predict how non-nominal input parameter values propagate through the different phases of the calculation procedure. A literature review on a number of publications that present practical examples shows that the relation between the numerical formalism that describes the uncertain or variable quantity and the physical reality is not so clear. In almost all cases the authors (have to) make assumptions on the non-deterministic nature of the physical quantity, especially for material properties. However, the sensitivity of the structural response to material parameter changes can be very significant. The authors recommend that the numerical formalism for model parameters should be well adapted to physically observed variations.

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Oberkampf, W., DeLand, S., Rutherford, B., Diegert, K., and Alvin, K., “A New Methodology for the Estimation of Total Uncertainty in Computational Simulation,” Proceedings of the 40th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, AIAA-99-1612, 1999, pp. 3061–3083

    Google Scholar 

  2. Klir, G. and Folger, T., Fuzzy Sets, Uncertainty and Information, Prentice Hall, Englewood Cliffs, 1988.

    MATH  Google Scholar 

  3. Moens, D., Vandepitte, D., “Interval sensitivity theory and its application to frequency response envelope analysis of uncertain structures,” Computer Methods in Applied Mechanics and Engineering, 2007, 196(21-24), pp. 2486–2496

    Article  MATH  Google Scholar 

  4. Massa, F., Tison, T., Lallemand, B., “A fuzzy procedure for the static design of imprecise structures,” Computer Methods in Applied Mechanics and Engineering, 2006, 195(9-12), pp. 925–941

    Article  MATH  Google Scholar 

  5. Massa, F., Rufin, K., Tison, T., Lallemand, B., “A complete method for efficient fuzzy modal analysis,” Journal of Sound and Vibration, 2008, 304(1-2), pp. 63–85

    Article  Google Scholar 

  6. Moens, D., Vandepitte, D., “Recent advances in non-probabilistic approaches for non-deterministic dynamic finite element analysis,” Archives of Computational Methods in Engineering, 2006, 13(3), pp. 389–464

    Article  MATH  MathSciNet  Google Scholar 

  7. Moens, D., De Munck, M., Vandepitte, D., “Envelope frequency response function analysis of mechanical structures with uncertain modal damping characteristics,” Computer Methods in Engineering Science, 2006, 22(2), pp. 129–149

    Google Scholar 

  8. d’Ippolito, R., Tabak, U., De Munck, M., Donders, S., Moens, D., Vandepitte, D., “Modelling of a vehicle windshield with realistic uncertainty,” Proceedings of ISMA 2006, 2006, pp. 2023–2032

    Google Scholar 

  9. Noor, A.K., Starnes, J.H.Jr., Peters, J.M., “Uncertainty analysis of composite structures,” Computer Methods in Applied Mechanics and Engineering, 2000, 185(2-4), pp. 413–432

    Article  MATH  Google Scholar 

  10. Khaled, A.-T., Noor, A.K., “Uncertainty analysis of welding residual stress fields,” Computer Methods in Applied Mechanics and Engineering, 1999, 179(3-4), pp. 327–344

    Article  MATH  Google Scholar 

  11. Lionnet, C., Lardeur, P., “A hierarchical approach to the assessment of the variability of interior noise levels measured in passenger cars,” Noise control engineering journal, 2007, 55(1), pp. 29–37

    Article  Google Scholar 

  12. Pellissetti, M., Capiez-Lernout, E., Pradlwarter, H., Soize, C., Schuëller, G.I., “Reliability analysis of a satellite structure with a parametric and a non-parametric probabilistic model,” Computer Methods in Applied Mechanics and Engineering, 2008, 198(2), pp. 344–357

    MATH  MathSciNet  Google Scholar 

  13. Schuëller, G.I., “Efficient Monte Carlo simulation procedures in structural uncertainty and reliability analysis - recent advances,” Structural Engineering and Mechanics, 2009, 32(1), pp. 1–20

    Google Scholar 

  14. Chung, D.B., Gutierrez, M.A., de Borst, R., “Object-oriented stochastic finite element analysis of fibre metal laminates,” Computer Methods in Applied Mechanics and Engineering, 2005, 194(12-16), pp. 1427–1446

    Article  MATH  Google Scholar 

  15. Sarkar, A., Ghanem, R., “Mid-frequency structural dynamics with parameter uncertainty,” Computer Methods in Applied Mechanics and Engineering, 2002, 191(47-48), pp. 5499–5513

    Article  MATH  Google Scholar 

  16. Agarwal, N., Aluru, N.R., “Stochastic modeling of coupled electromechanical interaction for uncertainty quantification in electrostatically actuated MEMS,” Computer Methods in Applied Mechanics and Engineering, 2008, 197(43-44), pp. 3456–3471

    Article  MATH  MathSciNet  Google Scholar 

  17. Falsone, G., Ferro, G., “An exact solution for the static and dynamic analysis of FE discretized uncertain structures,” Computer Methods in Applied Mechanics and Engineering, 2007, 196(21-24), pp. 2390–2400

    Article  MATH  Google Scholar 

  18. Stefanou, G., Papadrakakis, M., “Stochastic finite element analysis of shells with combined random material and geometric properties,” Computer Methods in Applied Mechanics and Engineering, 2004, 193(1-2), pp. 139–160

    Article  MATH  Google Scholar 

  19. Freudenthal, A., “Fatigue Sensitivity and Reliability of Mechanical Systems, especially Aircraft Structures,” WADD Technical Report 61-53 1961

    Google Scholar 

  20. United States Department of Defense, “Military Handbook – metallic materials and elements for aerospace vehicle structures,” edition 5J, 2003, http://www.weibull.com/knowledge/milhdbk.htm

  21. http://www.matweb.com

  22. http://www.efunda.com

  23. Mallick, P.K., “Fiber-reinforced composites: Materials, Manufacturing and Design. Third edition,” 2008, CRC Press - Taylor & Francis Group

    Google Scholar 

  24. Kawai, M., Honda, N., “Off-axis fatigue behavior of a carbon/epoxy cross-ply laminate and predictions considering inelasticity and in situ strength of embedded plies,” International Journal of Fatigue, 2008, 30(10-11), pp. 1743–1755

    Article  Google Scholar 

  25. Charmpis, D.C., Schuëller, G.I., Pellissetti, M.F., “The need for linking micromechanics of materials with stochastic finite elements: a challenge for materials science,” Computational Materials Science, 2007, 41(1), pp. 27–37

    Article  Google Scholar 

  26. Sankaran, S., Zabaras, N., “Computing property variability of polycrystals induced by grain size and orientation uncertainties,” Acta Materialia, 2007, 55(7), pp. 2279–2290

    Article  Google Scholar 

  27. Ramamurti, U., Paul, A., “Variability in mechanical properties of a metal foam,” Acta Materialia, 2004, 52(4), pp. 869–876

    Article  Google Scholar 

  28. Schenck, C.A., Schuëller, G.I., “Buckling analysis of cylindrical shells with random boundary and geometric imperfections,” Proceedings of ICOSSAR01, June 2001, Swets & Zeitlinger, Lisse, CDrom

    Google Scholar 

  29. Soize, C., “A nonparametric model of random uncertainties on reduced matrix model in structural dynamics,” Probabilistic Engineering Mechanics, 2000, 15(3), pp. 277–294

    Article  Google Scholar 

  30. Soize, C., “A comprehensive overview of a non-parametric probabilistic approach of model uncertainties for predictive models in structural dynamics,” Journal of Sound and Vibration, 2005, 288(3), pp. 623–652

    Article  MathSciNet  Google Scholar 

  31. Chen, C., Duhamel, D., Soize, C., “Probabilistic approach for model and data uncertainties and its experimental identification in structural dynamics: case of composite sandwich panels,” Journal of Sound and Vibration, 2005, 294(1-2), pp. 64–81

    Article  Google Scholar 

  32. Soize, C., Capiez-Lernout, E., Durand, J.F., Fernandez, C., Gagliardini, L., “Probabilistic model identification of uncertainties in computational models for dynamical systems and experimental validation,” Computer Methods in Applied Mechanics and Engineering, 2008, 198(1), pp. 150–163

    Article  MATH  Google Scholar 

  33. Pierce, S.G., Ben-Haim, Y., Worden, K., Manson, G., “Evaluation of neural network robust reliability using information-gap theory,” IEEE Transactions on Neural Networks, 2006, 17(6), pp. 1349–1361

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, PMA division PMA, K.U.Leuven, Celestijnenlaan 300B, 3001, Heverlee, Belgium

    Dirk Vandepitte

Authors
  1. Dirk Vandepitte
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. David Moens
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Dirk Vandepitte .

Editor information

Editors and Affiliations

  1. Inst. Problems of Mechanical Engineering, Russian Academy of Sciences, Bolshoy Ave. V. O. 61, St. Petersburg, 199178, Russian Federation

    Alexander K. Belyaev

  2. Dept. Engineering, University of Cambridge, Trumpington Street, Cambridge, CB2 1PZ, United Kingdom

    Robin S. Langley

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer Science+Business Media B.V.

About this paper

Cite this paper

Vandepitte, D., Moens, D. (2011). Quantification of uncertain and variable model parameters in non-deterministic analysis. In: Belyaev, A., Langley, R. (eds) IUTAM Symposium on the Vibration Analysis of Structures with Uncertainties. IUTAM Bookseries, vol 27. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0289-9_2

Download citation

  • DOI: https://doi.org/10.1007/978-94-007-0289-9_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-0288-2

  • Online ISBN: 978-94-007-0289-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation