Abstract
A new program system was developed for computing the static and dynamic characteristics of machine structures and helping the designer to get the optimum machine with respect to those characteristics. The program system is a new method which combines the advantages of the synthetic technique of the receptance program system with the finite element modeling of the machine sub-structures. The function of the program system is to compute static rigidities, frequency responces, natural frequencies, mode shapes, energy distributions and modal flexibilities. In order to attain dynamically optimum design of machine tools which would have minimum chance of machining chatter, the analysis based on energy balances of a mechanical system at the resonance is endeavored by the use of this program system. This optimization process aims that the maximum compliance of the tool-work relative displacement in the direction normal to cut surface caused by the cutting force at the cutting point must be minimum across all frequency ranges. The optimization principle is based on the computation of modal flexibilities and energy distributions. The analytical principle of the program system is described and demonstrated by computed and experimental results on a practical structure.
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