A nonlinear inverse problem in estimating simultaneously the external forces for a vibration system with displacement-dependent parameters

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Abstract

The conjugate gradient method (CGM), or the iterative regularization method, is applied to a generalized inverse nonlinear force vibration problem, (i.e. system parameters are function of displacement), to simultaneously estimate the unknown time-dependent external forces for a multiple-degree-of- freedom damped system by using the measured displacements. The system parameters of the present study are considered function of displacement, thus it is classified as a genuine nonlinear inverse vibration problem. The numerical experiments are performed to test the validity of CGM by using different types of system parameters, external forces and measurement errors in this study.

Original languageEnglish
Pages (from-to)793-813
Number of pages21
JournalJournal of the Franklin Institute
Volume342
Issue number7
DOIs
Publication statusPublished - 2005 Nov 1

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Signal Processing
  • Computer Networks and Communications
  • Applied Mathematics

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