タイヤコードの発生熱に関する研究-3-

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The effects of the finishing oils and twisting conditions upon the damping characteristics of the rayon tire cords were observed precisely by the free damping oscillating method. The differential equation, which well represented the free damping oscillations of the system containing the sample strips, seemed to take the following form : _??_+ 2a_??_+βθm_??_+γθ+δθnθ=0........................................................................(1) α>0, γ1/2>0, m>0, n>0 The damping of the oscillations of the system was very mild, and so the oscillations were approximately assumed to be the simple harmonic motion, then θ=A sin(ωt+_??_), ................................................................................................(2) where A, _??_=f(t), _??_, _??_-0(ε). The solution of the equation (1) was obtained by the N. W. McLachlan's approximation method as follow : θ=A0e−at/[1+2βBm⁄π(m+2)α · A0m(1−e−mαt)]1⁄m×sin[{γ1⁄2+(2⁄πωδ Ann+1⁄n+2 Bn)}t+_??_0] From the observed results, the constants α, β, γ, and δ were decided, and the effects of finishing oils and twisting conditions upon these constants were discussed in this report. Generally speaking, even if the static tensions of sample strips were relatively low, e.g. 300 gr for 1650 den. cord, and if the number of twist was in the moderate range, e.g. 1.5 to 6 per inch for 1650 den., 720 fils. cord, the constants α, β and δ were remarkably affected by the finishing oils, but the static tensions became large or the number of twist was out of this range, the effects of the finishing oils were diminished.
社団法人日本繊維機械学会の論文

タイヤコードの発生熱に関する研究-3-

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