Sensitivity Analysis: Linear Static Spring Systems

  • Daniel A. Tortorelli
Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 511)


In design we perform an analysis and then we often “tweak” a design parameter and repeat the analysis to see if the design performance improves. In optimization we compute gradients of the cost and constraint functions to guide us through the design space and ultimately arrive at a design that satisfies the Karush-Kuhn Tucker optimality criteria*. In identification and inverse analyses we perform a simulation of an observed physical system and then tweak unknown model parameters and repeat the simulation in the hopes of making our simulated response better match the physical data and hence improve our system model. And finally in reliability studies, we use optimization techniques to determine the most probable point of failure. All of these tasks involve analysis and sensitivity analysis.


Stiffness Matrix Reaction Force Internal Force Adjoint Method Adjoint Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Choi, K.K., Kim, N.H. Structural sensitivity analysis and optimization, volumes 1 and 2. Springer, New York, 2005.Google Scholar
  2. Haug, E.J., Choi, K.K. and Komkov, V. Design Sensitivity Analysis of Structural Systems. Academic Press, New York, 1986.zbMATHGoogle Scholar
  3. 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
  4. Haftka, R.T. and Gürdal, Z. Elements of Structural Optimization (Third ervised and expanded edition). Kluwer Academic Publishers, Boston 1992.zbMATHGoogle Scholar
  5. Tortorelli, D.A. and Michaleris, P. Design Sensitivity Analysis: Overview and Review. Inverse Problems in Engineering, 1: 71–103. 1994.CrossRefGoogle Scholar

Copyright information

© CISM, Udine 2009

Authors and Affiliations

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

Personalised recommendations