Abstract
The dynamic characteristics of the drilling process are investigated in this study. A pre-twisted Bernoulli-Euler beam is used to simulate the drill. The eigenvalue problem of a rotating pre-twisted beam under axial loading on an elastic foundation is numerically formulated using the differential quadrature method (DQM). Effects of the number of sampling points, rotation speed, pre-twist angle, axial loading, and elastic foundation stiffness on the calculated natural frequencies are also studied. Numerical results demonstrate the validity and the efficiency of the DQM in treating this type of problem. The computation times using DQM are smaller than the computation times using FEM. A varying-length elastic foundation is used to approximate the drilling process. The numerical results indicate that the natural frequency of the drill is increased as the drill moves into the work piece.
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