静摩擦係数に及ぼす振動の影響 (第1報)

3軸方向の振動の影響

抄録

When a solid body is going to slide on a vibrating surface being in contact with, the static friction appears to reduce.
In the present report, the effects of the vibration which reduce the apparent coefficient of static friction are discussed on three directions of vibration, in X, Yand Z axes, where X axis isthe sliding direction andZ the vertical to the sliding surface.
The apparent coefficients of static friction effected by vibration in these directions, μ
_x', μ_y' μ_z'are given following expressions respectively, μ_x'=μ_sΛ_√1+μ_s²-Λ²/1-Λ², μ_y' =√μ_s²-Λ²/1+Λ², μ_z'= μ_s (1-Λ√1+μ_s²-μ_s² Λ²) /1-μ_s²Λ²
where μ_s is the true coefficient of static friction and Λ=aω²/g is the ratio of acceralations.
These theoretical results have been also confirmed by experimental studies.
Further, from these results it is shown that μ_x'< μ_y', μ_x'< μ_z' in general and the vibration acting in sliding direction, X axis, is most effective to reduce the apparent coefficient of static friction.