Deflections and Moments Due to a Concentrated Load on a Rack-Shaped Cantilever Plate with Finite Width for Gears
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In helical gear design, deflections and moments of rack-shaped cantilever with finite width, must be taken into consideration. This paper contains numerical solutions for deflections and moments of rack-shaped cantilever with finite width. These solutions are obtained with applying calculus of finite differences to the basic differential equation. For a finite rack-shaped cantilever, deflections and moments are closely related to its pressure angle and profile of its section. The numerical solutions showed good agreement with the experimental results of rack shaped cantilever simulating a gear tooth.
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