As a basic and advanced machining technique,the high-speed milling process plays an important role in realizing the goal of high performance manufacturing.From the viewpoint of machining dynamics,obtaining chatter-free machining parameters is a prerequisite to guaranteeing machining accuracy and improving machining efficiency.This paper gives an overview on recent progress in time domain semi-analytical methods for chatter stability analysis of milling processes.The state of art methods of milling stability prediction in milling processes and their applications are introduced in detail.The bottlenecks involved are analyzed,and potential solutions are discussed.Finally,a brief prospect on future works is presented.
A folding beam-type piezoelectric phononic crystal model is proposed to isolate vibration. Two piezoelectric bimorphs are joined by two masses as a folding structure to comprise each unit cell of the piezoelectric phononic crystal. Each bimorph is connected independently by a resistive-inductive resonant shunting circuit. The folding structure extends the propagation path of elastic waves, while its structure size remains quite small. Propagation of coupled extension-flexural elastic waves is studied by the classical laminated beam theory and transfer matrix method. The theoretical model is further verified with the finite element method(FEM). The effects of geometrical and circuit parameters on the band gaps are analyzed. With only 4 unit cells, the folding beam-type piezoelectric phononic crystal generates two Bragg band gaps of 369 Hz to1 687 Hz and 2 127 Hz to 4 000 Hz. In addition, between these two Bragg band gaps, a locally resonant band gap is induced by resonant shunting circuits. Appropriate circuit parameters are used to join these two Bragg band gaps by the locally resonant band gap.Thus, a low-frequency and broad band gap of 369 Hz to 4 000 Hz is obtained.
