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Drilling Process is widely used in various types of industries. During drilling many a times, aphenomenon of ‘chatter’ of drill bit is observed. The reason for this ‘chatter’ is the vibrationsproduced during the drilling operation. The vibrations if produced by external parameters can becontrolled by the methods of vibration isolation and carrying out periodic preventive maintenance ofthe machine. But, vibrations produced because of drilling itself i.e. due to spindle speed and feedcannot be controlled completely.So, such internal vibrations need to be avoided. As these vibrations depend upon the variousmachining parameters, calculation of vibrations can be done under different machining parameters.The results can be summarized and the critical values of machining parameters for which excessivevibration is produced can be obtained for a specific machine.This paper deals with the mathematical analysis of the drilling operation where vibrations due to‘drilling’ are solely considered and values of critical machining parameters for ‘THAKUR PELTERDRILLING MACHINE’ are calculated.
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