WIAS Preprint No. 884, (2003)

Qualitative theory and identification of a class of mechanical systems


  • Volkova, Viktorija E.
  • Schneider, Klaus R.

2010 Mathematics Subject Classification

  • 34A55 70E99


  • identification, mechanical system, second order differential equations




We consider mechanical systems which can be described by the nonlinear differential equation my+h(y,y)+r(y)=0 and which are characterized by the property that there exists no information or only partial information on the damping force h or the restoring force r. We characterize several classes of such systems where by applying a periodic force and by measuring acceleration, velocity and displacement, the functions h or r can be easily identified.

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