Analytical modeling of spindle-tool dynamics on machine tools using Timoshenko beam model and receptance coupling for the prediction of tool point FRF文档.pdf

ARTICLE IN PRESS International Journal of Machine Tools Manufacture 46 (2006) 1901–1912 /locate/ijmactool Analytical modeling of spindle–tool dynamics on machine tools using Timoshenko beam model and receptance coupling for the prediction of tool point FRF a ¨ a b, A. Erturk , H.N. Ozguven , E. Budak¨ ¨ aDepartment of Mechanical Engineering, Middle East Technical University, 06531 Ankara, Turkey bFaculty of Engineering and Natural Sciences, Sabanci University, Orhanli, Tuzla, 34956 Istanbul, Turkey Received 14 December 2005; received in revised form 27 January 2006; accepted 30 January 2006 Available online 3 April 2006 Abstract Regenerative chatter is a well-known machining problem that results in unstable cutting process, poor surface quality and reduced material removal rate. This undesired self-excited vibration problem is one of the main obstacles in utilizing the total capacity of a machine tool in production. In order to obtain a chatter-free process on a machining center, stability diagrams can be used. Numerically or analytically, constructing the stability lobe diagram for a certain spindle–holder–tool combination implies knowing the system dynamics at the tool tip; i.e., the point frequency response function (FRF) that relates the dynamic displacement and force at that point. This study presents an analytical method that uses Timoshenko beam theory for cal