Analytical Description of Meshing of Constant Pressure Angle Teeth Profiles on a Variable Radius Gear and its Applications

[+] Author and Article Information
Guido A. Danieli

Dipartimento di Meccanica, Università degli Studi della Calabria, 87030 Arcavacata di Rende (CS), Italy

J. Mech. Des 122(1), 123-129 (Jan 01, 2000) (7 pages) doi:10.1115/1.533551 History: Received March 01, 1999; Revised January 01, 2000
Copyright © 2000 by ASME
Topics: Pressure , Gears
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Schematic representation of the tooth mesh for constant angle of pressure on variable radius wheels
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Pressure line on a constant radius wheel
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Feasible and unfeasible branches of the involute profile
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Antirotating slotted link pitch lines and teeth profiles for λ=0.5,Δr=100,α=26, and z=36
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Region of meshing of the previous gear in different positions during rotation, gear, and pitch line 1 in blue, gear, and pitch line 2 in cyan
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Nondimensional angle of action (angle of action, divided by the contact angle of a single tooth if contact ratio were 1.00(2π/z))
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Tooth contact ratio during the mesh in direct and reverse motion
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Tooth profile of an elliptical pair of constant angle pressure gears
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Wheel work to generate reciprocating motion through variable radius gears
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Photograph of the wheel work as constructed
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Nondimensional velocity as a function of displacement for λ=0.5Δr=100
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Tooth lines for pure sinusoidal motion generation
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Nondimensional velocity as a function of displacement for sinusoidal motion generation




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