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By Linke, Herbert

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Example text

No periodic fluctuation in the rotation). From this condition – known as the Law of Gears – it should be possible to derive how to determine the counter-profile for a given tooth profile to satisfy the condition i = constant for a given rw1,2. We will take Figure 1/23 as the starting point to derive the law for cylindrical gears. Two tooth flanks meet at the point Py. The flank 1 rotates with 71 around the centre point 01 and flank 2 with 72 around 02. 3 Law of gears for cylindrical gearing / y1 = Ȧ1 r y1 , / y 2 = − Ȧ 2 r y 2 27 (1/24) In order to prevent any flank separation, both flanks must possess an equal velocity ȣn in the direction of the normals NN.

It plays a decisive role in gear calcup and therefore lations. 01490438). 1/4b) The involute function is applied among others in the calculation of tooth thickness and profile shift.

Nevertheless, for a long time he continued to recommend the calculation with the tip engagement for safety reasons due to the occurrence of component and profile errors. He did, however, take into account the bending and compressive stress [1/28]. The American C. Lewis had a lasting influence on the tooth root load-bearing capacity calculation. In 1892, he determined the tooth root cross section for the calculation of the tooth root stress by placing a parabola of equal strength (known since 1638 thanks to Galileo Galilei) in the tooth (Figure 1/13).

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