Sensitivity analysis: Generalized coordinate kinematic systems

Research output: Chapter in Book/Report/Conference proceedingChapter


We now apply the afore developed analysis and sensitivity analysis to kinematically driven rigid body mechanisms. Initially we perform a position analysis, i.e. we determine the mechanism configuration for a given time. This analysis parallels the nonlinear static finite element analysis of Section 9.2. Through differentiation we then perform velocity and acceleration analyses. This procedure is akin to our sensitivity analysis if we view time t as the parameter di of interest. Next we evaluate reaction forces in an inverse dynamic analysis. Such forces are often used in subsequent finite element analyses to determine the stress distribution in the mechanism’s components. And finally we perform a sensitivity analysis in its own right to determine how the generalized position, velocity, acceleration and generalized reaction force vectors change as we perturb a model parameter di, e.g. a link dimension.

Original languageEnglish (US)
Title of host publicationCISM International Centre for Mechanical Sciences, Courses and Lectures
Number of pages17
StatePublished - Jan 1 2009

Publication series

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


  • Adjoint method
  • Joint constraint
  • Lagrange multiplier vector
  • Position analysis
  • Reaction force

ASJC Scopus subject areas

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


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