はすば歯車装置の振動応答 : 第2報, 多自由度系の強制運動方程式

概要

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The structure born noise must be studied in order to reduce gear noise in helical gear system. For this purpose some analytical method is required to predict vibration level of the system including gears, shafts and gearbox at the design stage of the system. This paper shows equations of forced vibration in multi degree of freedom system and a way of thinking how to apply general method in vibration analysis. First, a stiffness matrix of gear tooth, which takes account of the static coupling through gear tooth flank, is derived. And then, a set of differential equations, which are parametric excitation type, is established by using this stiffness matrix. By separating tooth stiffness and displacements into mean and fluctuating components, it is shown that these equations can be approximated by non-parametric equations. The approximation accuracy is good for the practical use.
社団法人日本機械学会の論文
1998-07-25