Abstract
Uncertainty quantification is an integral part of the model validation process and is important to take into account during the design of mechanical systems. Sources of uncertainty are diverse but generally fall into two categories: aleatory uncertainties due to random processes and epistemic uncertainty resulting from a lack of knowledge or erroneous assumptions.This work focuses on the impact of uncertain levels of prestress on the behavior of solar arrays in their stowed configuration. In this context, snubbers are inserted between two adjacent panels to maintain contact and absorb vibrations during launch. However, under high excitation loads, a loss of contact between the two panels may occur. This results in impacts that can cause extensive damages to fragile elements.
In practice, the specific load configuration for which the separation of the two panels occurs is difficult to determine precisely since the exact level of prestress applied to the structure is unknown. An info-gap robustness analysis is applied to study the impact of this lack of knowledge on the prestress safety factor required to avoid loss of contact. The proposed methodology is illustrated using a simplified model of a solar array.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Schueller G (2007) On the treatment of uncertainties in structural mechanics and analysis. Comput Struct 85:235–243
Dempster AP (1968) Upper and lower probabilities generated by a random interval. Ann Math Stat 39(3):957–966
Soize C (2005) A comprehensive overview of a non-parametric probabilistic approach of model uncertainties for predictive models in structural dynamics. J Sound Vib 288:623–652
Moore RE (1979) Methods and applications of interval analysis. Prentice-Hall, London
Zadeh LA (1965) Fuzzy sets. Inf Control 8:338–353
Hanss M (2003) The extended transformation method for the simulation and analysis of fuzzy-parametrized models. Int J Uncertain Fuzz 11(6):711–727
Ben-Haim Y (2001) Information-gap decision theory, decisions under severe uncertainty. Academic Press, Cornwall
Hemez F, Ben-Haim Y (2004) Info-gap robustness for the correlation of test and simulations in non-linear transient. Mech Syst Signal Process 18(6):1443–1467
Vinot P, Cogan S, Lallement G (2003) Approche non-probabiliste de fiabilité basée sur les modèles convexes. Mécanique Indutries 4:45–50
Vinot P, Cogan S, Cipolla V (2005) A robust model-based test planning procedure. J Sound Vib 288(3):571–585
Takewaki I, Ben-Haim Y (2005) Info-gap robust design with load and model uncertianties. J Sound Vib 288:551–570
Ben-Haim Y, Zacksenhouse M, Keren C, Dacso CC (2009) Do we know how to set decision thresholds for diabetes. Med Hypotheses 73:189–193
Ben-Haim Y, Laufer A (1998) Robust reliability of projects with activity-duration uncertainty. ASCE J Constr Eng Manag 124:125–132
Acknowledgements
The work presented in this paper has been carried out with the generous support of the Centre National d’Etudes Spatiales (Toulouse, France) and Thales Alenia Space (Cannes La Bocca, France). The authors would also like to thank Professor Yakov Ben-Haim for his helpful remarks.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 The Society for Experimental Mechanics, Inc. 2012
About this paper
Cite this paper
Hot, A. et al. (2012). Design of Uncertain Prestressed Space Structures: An Info-Gap Approach. In: Simmermacher, T., Cogan, S., Horta, L., Barthorpe, R. (eds) Topics in Model Validation and Uncertainty Quantification, Volume 4. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-2431-4_2
Download citation
DOI: https://doi.org/10.1007/978-1-4614-2431-4_2
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-2430-7
Online ISBN: 978-1-4614-2431-4
eBook Packages: EngineeringEngineering (R0)