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

作者：Huang Cheng Hung^*; Shih Chili Chun; Kim Sin

来源：Applied Mathematical Modelling, 2009, 33(6): 2683-2698.

DOI：10.1016/j.apm.2008.08.001

• Inverse problem
• Conjugate gradient method
• Cutting force estimation
• Euler-Bernoulli beam

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.

• 出版日期2009-6