衝突振動に関する研究 : 衝突時間を考慮した場合と考慮せずゼロとした場合の解析結果の比較

概要

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Many papers have been published analysing steady impact vibrations in mechanical systems. However, in all of them, the duration of collision is assumed to be nil, or a prescribed constant, and the velocities after collision are determined from those before collision by utilizing the coefficient of restitution, taken to be constant. Actually, the phenomena of collision depend on both the elastic and plastic behavior of colliding bodies and the duration of collision is not zero, but of a finite, though very short length. In this paper, some numerical results from the theory, in which the duration of collision is assumed to be nil, are compared with those from the theory, in which the duration of collision is not zero, but depends on the elastic and plastic behaviors or colliding bodies. Also, these numerical results from both theories are compared with experimental results obtained for a mechanical model. The results from the theory taking the duration of collision into account coincide more closely than those from the theory neglecting it, with the results from mechanical model experiment, especially when the duration of collision occupies a considerable fraction, perhaps over than 1/50,of the period of the impact vibration.
山梨大学の論文