%0 Journal Article %T MATHEMATICAL APPROACH FOR DRILLING %A Hussien Mahmoud Al-Wedyan %A Saad A Mutasher %J International Journal of Automotive and Mechanical Engineering %D 2011 %I Universiti Malaysia Pahang %X The present paper is on the study of whirling dynamics of the tool workpiece system in a deep hole machining process. An innovative analytical model is proposed in order to carry out simulation studies on the whirling vibrations of the tool workpiece system in a deep hole boring process. At the interaction point of the boring bar-workpiece system there will be an additional displacement in addition to the torque transmitted. This displacement is of a dynamic origin and could be simulated as a wedge introduced between the cutting head-workpiece assemblies. An assumed mode method with the Lagrangian equations was used to derive the mathematical model of the system. %K Whirling vibration %K mode shape %K drilling process %K mathematical model. %U http://ijame.ump.edu.my/images/Volume_3/10%20Hussien%20and%20Mutasher.pdf