Proceedings of the Thirteenth International Machine Tool by S.A. Tobias, F. Koenigsberger

By S.A. Tobias, F. Koenigsberger

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R. Conf, Macmillan, 28998. B. J. STONE, 1971. 'The development of a dynamic performance test in lathes', 12th Intern. M. R. Conf, Macmillan, 299-308 J. PETERS, P. VANHERCK and H. V. BRUSSEL, 1971. P. Gen. , Warsaw. I. CHOWDHURY, M. M. SADEK and S. A. TOBIAS, 1969-70. 'Determination of the dynamic characteristics of machine tool structures', Pro c. In st. Mech. , 70, Vol. 184, pt. 1. J. PETERS and P. VANHERCK, 1968. 'Machine tool stability and the incremental stiffness', Rept. P. Ma Group, Leuven.

E. EARLES and N. ctN sin(pt + cp) (4) 1T It is to be expected that the displacement of any point on the beam will be a continuous function of the forcing frequency, which requires that the forces producing the displacement are continuous functions of the forcing frequency. ctlrr if equation (4) is assumed to apply. Such a ratio of static to dynamic coefficients of friction is similar to that generally found in practice. Application to the system Assuming that coulombic friction obtains, that the frictional force always opposes relative motion, and that equation ( 4) applies, the structure shown in figure I( a) is dynamically analysed.

Some aspects of frictional damping as applied to vibrating beams. Int. J. Mech. Tool Des. , 10, p. 123. R. E. D. BISHOP and D. C. JOHNSON, 1960. The mechanics of vibrations. Cambridge University Press. H. HANNA* and A. W. KWIATKOWSKI* SUMMARY Excitation tests were carried out on a lathe under stationary and moving-carriage conditions. The theoretical stability for both cases was predicted and found to be affected by the presence of feed. The effect is discussed with the aid of a model with two degrees-of-freedom.

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