Simulation of n-dof Systems

  • Jorge Angeles
Part of the Mechanical Engineering Series book series (MES)


The principles introduced in Chap. 6 allow the determination of the time response of n-dof systems when n is either small enough or the system possesses symmetries that render its time response analysis handleable in closed form. More general n-dof systems call for a numerical procedure. This is done here upon extension of the techniques introduced in Chap. 3. The aim of this chapter is thus to derive simulation schemes for the total time response of n-dof systems, for an arbitrary integer n. The principles laid down in Chap. 3 will be applied.


Simulation Algorithm Complex Eigenvalue Simulation Scheme Time Response Analysis Total Time Response 
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  1. 1.
    Al-Widyan K, Angeles J, Ostrovskaya S (2003) A Robust simulation algorithm for conservative linear mechanical systems. Int J Multiscale Comput Eng 1(2):289–309CrossRefGoogle Scholar
  2. 2.
    Åström K, Wittenmark B (1997) Computer-controlled systems: theory and design. Prentice-Hall Inc, Upper Saddle RiverGoogle Scholar
  3. 3.
    Angeles J, Espinosa I (1981) Suspension-system synthesis for mass transport vehicles with prescribed dynamic behavior. ASME Paper 81-DET-44, In: Proceeding 1981 ASME design engineering technical conference, Hartford, 20–23 September 1981Google Scholar
  4. 4.
    Angeles J, Etemadi Zanganeh K, Ostrovskaya S (1999) The analysis of arbitrarily-damped linear mechanical systems. Arch Appl Mech 69(8):529–541MATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringMcGill UniversityMontrealCanada

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