An inverse vibration problem in estimating the spatial and temporal-dependent external forces for cutting tools |
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Authors: | Cheng-Hung Huang Chih-Chun Shih Sin Kim |
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Institution: | 1. Department of Systems and Naval Mechatronic Engineering, National Cheng Kung University, No. 1, University Road, Tainan 701, Taiwan, ROC;2. Department of Nuclear and Energy Engineering, Cheju National University, Cheju 690-756, Korea |
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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. |
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Keywords: | Inverse problem Conjugate gradient method Cutting force estimation Euler&ndash Bernoulli beam |
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