振動輸送機械の基礎的研究について(その3のA)(だ円型軌道をもつ振動輸送のフーリエ解析)

概要

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Succeeding to the foregoing two reports, we try to obtain a perfect Fourier series solution to the eqation of motion of a piece on the trough of a vibratory conveyer which vibrates in an elliptic path. Generally, the motion of the piece on the trough may be divided into two classes, namely. 1) the piece does not lose contact with the trough for the whole period, and 2) the piece loses contact with the trough partially or wholly in one period. In this report, the motions of the 1st class are expressed in terms of a perfect Fourier series, and those of the 2nd class will be, we hope, the subjects in the future. A condition of periodic motion is given by the equation to be satisfied by the constant term of the Fourier series : A_0 (τ_0)+μα_0 (τ_0)=0 where μ is the coefficient of kinetic friction and A_0 (τ_0) and α_0 (τ_0) are two definite functions of the interval, during which the piece slides relatively to the trough. Finally, the solution of this method are compared to those of the inosculating method of foregoing papers and the full coincidence to each other is ascertained.
山梨大学の論文