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Dynamic Loads on Spur Gear Teeth

Toshimi TOBE

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Abstract

After the gear teeth have been separated because of the relative changes in velocity imparted to the gears by the action of the accelerating load, and have reached the position of maximum separation they will come together again with an impact. In the present paper, the dynamic loads on spur gear teeth caused by the impact phenomena are calculated theoretically. The fundamental equation of the dynamic load on teeth is the nonlinear Volterra integral equation, and the author solves this integral equation by the collocation method approximately. For the practical use, the numerical results of dynamic loads on teeth based on some assumptions are shown in the form of the design formula.

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After the gear teeth have been separated because of the relative changes in velocity imparted to the gears by the action of the accelerating load, and have reached the position of maximum separation they will come together again with an impact. In the present paper, the dynamic loads on spur gear teeth caused by the impact phenomena are calculated theoretically. The fundamental equation of the dynamic load on teeth is the nonlinear Volterra integral equation, and the author solves this integral equation by the collocation method approximately. For the practical use, the numerical results of dynamic loads on teeth based on some assumptions are shown in the form of the design formula.

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Available abstract

After the gear teeth have been separated because of the relative changes in velocity imparted to the gears by the action of the accelerating load, and have reached the position of maximum separation they will come together again with an impact. In the present paper, the dynamic loads on spur gear teeth caused by the impact phenomena are calculated theoretically. The fundamental equation of the dynamic load on teeth is the nonlinear Volterra integral equation, and the author solves this integral equation by the collocation method approximately. For the practical use, the numerical results of dynamic loads on teeth based on some assumptions are shown in the form of the design formula.

Key concepts: Spur gear, Dynamic load testing, Action (physics), Spur, Dynamic equation, Collocation (remote sensing), Position (finance), Nonlinear system

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