心無研削に関する研究(第2報)

歪量減衰率の解析

抄録

In this paper, condition satisfying Φ=0 is analysed theoretially by using constant difference equation. And the relation between the damping ratio of the out-of-roundness and the working condition is discussed.
The results obtained are as follows :
(1) The results about the number of corners of the out-of-roundness is the same with those obtained in the preceding paper. That is, when the center-height of the work is comparatively low, a polygon of odd number of corners is apt to be formed, and as the work is supported higher, a polygon of even number of corners comes to appear frequently.
(2) To obtain the maximum damping ratio 1-(ε'+ε), the even number of corners n_e must satisfy the following relation,
n_e=2[(2K₂+1)K+K₂+1]
here, ∠GOB=p₁ρ, ∠GOC=p₂ρ and p₁=2K₁+1, p₂=2K₂+1, K=1, 2, …in Fig 1.