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Symbolic Sensitivity Analysis of Multibody Systems

  • Chapter
Multibody Dynamics

Part of the book series: Computational Methods in Applied Sciences ((COMPUTMETHODS,volume 28))

Abstract

Sensitivity analysis is the process of apportioning changes in the response of the system into the perturbations of the system parameters. In this chapter, we will present an overview of various issues regarding sensitivity analysis of multibody systems using symbolic formulations. Symbolic formulation for multibody system simulation has been demonstrated to have a number of benefits (Samin and Fisette in Symbolic Modeling of Multibody Systems, 2004), and has proven itself to be a very important tool for efficient sensitivity analysis. We present a detailed literature review of the subject, highlighting the challenges and the diverse applications of sensitivity analysis. We identify direct differentiation as a key approach towards symbolic sensitivity for its simplicity and accuracy. We will discuss software implementation and issues regarding the efficiency of the process of sensitivity analysis. We will present an overview of generation of sensitivity equations and using numerical examples, we will outline different approaches towards the evaluation of sensitivity information.

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Authors and Affiliations

  1. Department of Systems Design Engineering, University of Waterloo, Waterloo, Ontario, Canada

    Joydeep M. Banerjee & John McPhee

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  1. Joydeep M. Banerjee
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  2. John McPhee
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Correspondence to Joydeep M. Banerjee .

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Editors and Affiliations

  1. Institute for Mechanics, Materials and Civil Engineering, Universite catholique de Louvain (UCL), Place du Levant 2, Louvain-la-Neuve, 1348, Belgium

    Jean-Claude Samin

  2. Institute for Mechanics, Materials and Civil Engineering, Universite catholique de Louvain (UCL), Place du Levant 2, Louvain-la-Neuve, 1348, Belgium

    Paul Fisette

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Banerjee, J.M., McPhee, J. (2013). Symbolic Sensitivity Analysis of Multibody Systems. In: Samin, JC., Fisette, P. (eds) Multibody Dynamics. Computational Methods in Applied Sciences, vol 28. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5404-1_6

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  • DOI: https://doi.org/10.1007/978-94-007-5404-1_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-5403-4

  • Online ISBN: 978-94-007-5404-1

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