Dynamical Analysis of Vibrating Cutting (1st Report)
Theoretical Analysis of Dynamical Behavior of Work
1969 Volume 35 Issue 415 Pages 528-535
Details
1969 Volume 35 Issue 415 Pages 528-535
In this paper the horizontal displacement of work in vibrating cutting (frequency 100 Hz, amplitude 0.20 mm, cutting speed 0.36m/min is analyzed theoretically and experimentally. The main results are as follows :
1) The horizontal displacement of work can be expressed theoretically and this theoretical results has been confirmed in good argument with the experimental result.
2) And it was found that the factors influence the dynamical displacement of work are as follows : thrust force Pt, spring constant k, cutting time in one cycle of tool tc, circular frequency of tool ω, natural circular frequency of work ωn, period of tool T, ν=C/Cc C : damping constant of work Cc : critical damping constant of work.
3) From both of theoretical and experimental results, it has been verified that the tool cuts the work only near the neutral work position in each cycle of tool vibration in stable vibrating cutting.
4) Under such a cutting condition, the principal cutting force is larger than the thrust force down to the depth of cut than 5 μ and the machined surface roughness is less than 0.4 μ and and the roundness is less than 2 μ.
