Abstract
The use of the nonlinear resonant vibration mode to develop mechanical work for machining of intractable materials is discussed. This can be achieved by condensing the vibration of a cutting tool into a sequence of microcollisions with a workpiece for impulsive action of the tool to the material being treated. To stabilise the nonlinear mode under unpredictable change of processing loads, an approach has been developed to design a cutting machine as an intelligent self-exciting oscillating system known as autoresonant. The paper is devoted to analytical consideration of the autoresonant ultrasonic machining system. The main qualitative features of the system dynamics are revealed and the basic design principles and parameter relations are obtained. The system was developed, tested and used for cutting of intractable materials. Improvements of machinig are obtained and described.
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