A generalized inverse force vibration problem for simultaneously estimating the time-dependent external forces

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Abstract

The conjugate gradient method (CGM) with adjoint equations was applied to a generalized inverse force vibration problem to simultaneously estimate the unknown time-dependent external forces in a multiple-degree-of-freedom damped system with time-dependent system parameters by using the simulated measured system displacement. The accuracy of the inverse analysis for a two-degree-of-freedom problem is examined by using the simulated exact and inexact displacement measurements in the numerical experiments. Results have shown that the excellent estimations on the external forces can be obtained with any arbitrary initial guesses within a very short CPU time on a Pentium III-500 MHz PC.

Original languageEnglish
Pages (from-to)1022-1039
Number of pages18
JournalApplied Mathematical Modelling
Volume29
Issue number11
DOIs
Publication statusPublished - 2005 Nov 1

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Applied Mathematics

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