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论文类型：期刊论文

发表时间：2018-04-01

发表刊物：PRECISION ENGINEERING-JOURNAL OF THE INTERNATIONAL SOCIETIES FOR PRECISION ENGINEERING AND NANOTECHNOLOGY

收录刊物：SCIE

卷号：52

页面范围：152-157

ISSN号：0141-6359

关键字：Milling process stability lobe diagram precise; integration method runge-kutta based complete; discretization method complete discretization; scheme with the euler method

摘要：The explicit precise integration method (PIM) is adopted to predict the chatter stability of milling process. To begin with, the dynamic equation with the regenerative effect is established from a simplified 2-DOF milling model. Then, the general solution for Hamilton system of the delay differential equation (DDE) is obtained by ordinary differential theory. To attain time series expression, the nonhomogeneous term is expanded by Taylor formula. Subsequently, the exponential matrix is resolved by 2(N)th order algorithm, which achieves complete discretization of iterative formula. Lastly, the stability lobe diagram is constructed by utilizing Floquet theory to judge the eigenvalues of the state transition matrix corresponding to certain cutting conditions. A classic benchmark example is introduced and the comparison results show PIM is valid for prediction of chatter stability.