An inverse vibration problem in estimating the spatial and temporal-dependent external forces for cutting tools

Cheng Hung Huang, Chih Chun Shih, Sin Kim

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

An inverse forced vibration problem, based on the conjugate gradient method (CGM), (or the iterative regularization method), is examined in this study to estimate the unknown spatial and temporal-dependent external forces for the cutting tools by utilizing the simulated beam displacement measurements. The tool is represented by an Euler-Bernoulli beam. The accuracy of the inverse analysis is examined by using the simulated exact and inexact displacement measurements. The numerical experiments are performed to test the validity of the present algorithm by using different types of external forces, sensor arrangements and measurement errors. Results show that excellent estimations on the external forces can be obtained with any arbitrary initial guesses.

Original languageEnglish
Pages (from-to)2683-2698
Number of pages16
JournalApplied Mathematical Modelling
Volume33
Issue number6
DOIs
Publication statusPublished - 2009 Jun

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Applied Mathematics

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