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Advanced Design of Mechanical Systems: From Analysis to Optimization pp 195–217Cite as

Sensitivity Analysis: Nonlinear Static Spring Systems

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Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 511))

Abstract

We now progress from the linear static spring system to nonlinear static spring systems. Again we discuss both the analysis and the sensitivity analysis of these systems with the anticipation of eventually solving optimization problems. And again we use the simplistic spring element because the goal of this chapter is development of the overall program structure. As is the case for the linear spring system, the spring element is rather simplistic, however the assembly and solution details are not. Please be sure to master the concepts in this chapter.

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References

  • Choi, K.K. and Kim, N.H. Structural sensitivity analysis and optimization, volumes 1 and 2. Springer, New York, 2005.

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  • Kleiber, M., Antúney, H., Hien, T.D. and Kowalczyck, P. Parameter Sensitivity in Nonlinear Mechanics: Theory and Finite Element Computations. John Wiley & Sons, New York, 1997.

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  • Haftka, R.T. and Gürdal, Z. Elements of Structural Optimization (Third ervised and expanded edition) Kluwer Academic Publishers, Boston 1992.

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  • Michaleris, P., Tortorelli, D.A. and Vidal, C.A. Tangent Operators and Design Sensitivity Formulations for Transient Nonlinear Coupled Problems with Applications to Elasto-Plasticity. International Journal of Numerical Methods in Engineering, 37:2471–2499, 1994.

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Author information

Authors and Affiliations

  1. Department of Mechanical Sciences, University of Illinois at Urbana-Champaign, Urbana, USA

    Daniel A. Tortorelli

Authors
  1. Daniel A. Tortorelli
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Editor information

Editors and Affiliations

  1. Idmec, Instituto Superior Técnico, Technical University of Lisbon, Portugal

    Jorge A. C. Ambrósio

  2. Institute of Engineering and Computational Mechanics, University of Stuttgart, Germany

    Peter Eberhard

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© 2009 CISM, Udine

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Tortorelli, D.A. (2009). Sensitivity Analysis: Nonlinear Static Spring Systems. In: Ambrósio, J.A.C., Eberhard, P. (eds) Advanced Design of Mechanical Systems: From Analysis to Optimization. CISM International Centre for Mechanical Sciences, vol 511. Springer, Vienna. https://doi.org/10.1007/978-3-211-99461-0_9

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  • DOI: https://doi.org/10.1007/978-3-211-99461-0_9

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-99460-3

  • Online ISBN: 978-3-211-99461-0

  • eBook Packages: EngineeringEngineering (R0)

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