がたのある駆動系の振動 : 第5報, 倍数調波振動, 歯車の歯に基く振動

概要

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Analysing approximately the maximum amplitude state of the ultraharmonic vibration of a one-dimensional system excited by the torque fluctuation, the author verifies that velocity-proportional damping retards the vibration of uni-lateral mode of the higher order the less effective, and the retardation characteristic resembles the one of the subharmonic mode of the order 1/2. He thinks that the damping retards the bi-lateral mode almost the same as above. Displacement excitation by errors of gear shape or by eccentricities of gear axes, gives a one-dimensional shaft system substancially the same behavior as torque excitation does, but in approximate solutions it is necessary to change the expression of excitation term. As stiffness fluctuation of gear teeth also excites vibration, the author solves the vibration of uni-lateral, symmetric mode without damping, supposing the fluctuation as rectangular. The solution appears different from the one in the former cases, difficult to calculate, and is not yet numerically treated. The author thinks that this excitation gives rather high frequency, then the damping would act more effective, and this mode probably disappears.
一般社団法人日本機械学会の論文
1958-11-25