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Sensitivity Analysis: Nonlinear Static Spring Systems

  • Daniel A. Tortorelli
Chapter
  • 1.7k Downloads
Part of the CISM International Centre for Mechanical Sciences book series (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.

Keywords

Stiffness Matrice Newton Iteration Spring Force Adjoint Method Spring System 
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References

  1. Choi, K.K. and Kim, N.H. Structural sensitivity analysis and optimization, volumes 1 and 2. Springer, New York, 2005.Google Scholar
  2. 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.Google Scholar
  3. Haftka, R.T. and Gürdal, Z. Elements of Structural Optimization (Third ervised and expanded edition) Kluwer Academic Publishers, Boston 1992.zbMATHGoogle Scholar
  4. 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.zbMATHCrossRefGoogle Scholar

Copyright information

© CISM, Udine 2009

Authors and Affiliations

  • Daniel A. Tortorelli
    • 1
  1. 1.Department of Mechanical SciencesUniversity of Illinois at Urbana-ChampaignUrbanaUSA

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