Sensitivity analysis: Linear static spring systems

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

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.

Original languageEnglish (US)
Title of host publicationCISM International Centre for Mechanical Sciences, Courses and Lectures
PublisherSpringer International Publishing
Pages151-193
Number of pages43
DOIs
StatePublished - Jan 1 2009

Publication series

NameCISM International Centre for Mechanical Sciences, Courses and Lectures
Volume511
ISSN (Print)0254-1971
ISSN (Electronic)2309-3706

Keywords

  • Adjoint method
  • Adjoint problem
  • Internal force
  • Reaction force
  • Stiffness matrix

ASJC Scopus subject areas

  • Modeling and Simulation
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications

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  • Cite this

    Tortorelli, D. A. (2009). Sensitivity analysis: Linear static spring systems. In CISM International Centre for Mechanical Sciences, Courses and Lectures (pp. 151-193). (CISM International Centre for Mechanical Sciences, Courses and Lectures; Vol. 511). Springer International Publishing. https://doi.org/10.1007/978-3-211-99461-0_8