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LEVER-GEAR MECHANISM FOR TRACING SINUSOID-TYPE CURVES

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The mechanism is intended for tracing curves of the sinusoid type. Crank 1 and rigidly attached gear 4 rotate about fixed axis A. Crank 1 is connected by turning pair B to slider 2 which moves along slot d-d of link 3. Link 3 slides in fixed guides b-b. Gear 4 meshes with gear 5 which rotates about fixed axis C and meshes with gear 7. Gear 7 rotates about fixed axis D and is rigidly attached to disk 6. When crank 1 rotates, point a of link 3 describes curve e, of the sinusoid type, on disk 6. The displacement of point a along axis x-x equals x=x₀+r cos(ϕ), and the angle of rotation of disk 6 is ϕ₇= (z₄/z₇)ϕ, where x₀ is the initial coordinate determining the position of link 3, r is the distance A͞B, ϕ is the angle made by AB with axis x-x, and z₄ and z₇ are the numbers of teeth of gears 4 and 7. Sinusoid-type curves of different shapes can be obtained by changing the length A͞B of crank 1 and the numbers of teeth, z₄ and z₇.
$2468$LrG,Ge$

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