TY - JOUR
T1 - An inverse vibration problem in estimating the spatial and temporal-dependent external forces for cutting tools
AU - Huang, Cheng Hung
AU - Shih, Chih Chun
AU - Kim, Sin
N1 - Funding Information:
This work was supported in part through the National Science Council, ROC, Grant Number, NSC-96-2221-E-006-065.
PY - 2009/6
Y1 - 2009/6
N2 - 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.
AB - 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.
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U2 - 10.1016/j.apm.2008.08.001
DO - 10.1016/j.apm.2008.08.001
M3 - Article
AN - SCOPUS:60249097608
VL - 33
SP - 2683
EP - 2698
JO - Applied Mathematical Modelling
JF - Applied Mathematical Modelling
SN - 0307-904X
IS - 6
ER -