Journal of the Japan Society of Precision Engineering
Print ISSN : 0374-3543
Study on Vibration with Collision (3rd Report)
Amplitude of Motion, Colliding Force and Energy Dissipated
Kunio KOIZUMIYasuo YOKOYAMA
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1974 Volume 40 Issue 469 Pages 122-128

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Abstract
This paper discusses about the amplitude, colliding force and energy dissipation in a forced colliding vibration system with damper with one impact per a cycle motion. The maximum amplitude of the colliding vibration is greater than double amplitude of no impact vibration. In resonance, when contact time and viscous damping are negligibly small, the amplitude ratio, which is defined by the ratio of peak-to-peak of the colliding vibration to double amplitude of no impact vibration, is linearly proportional to the absolute value of colliding position and the energy dissipated is proportional to the square of the colliding position. In non-resonance, the maximum of specific colliding force, which is defined by the ratio of static pressure to the amplitude of exciting force, corresponds to the maximum energy dissipated. The relation between the specific colliding force or the square of the energy dissipated and the colliding position can be expressed by quadratic functions shown as ellipse.
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