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LINK-GEAR TRIGONOMETRIC FUNCTION GENERATOR

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The lengths of the links comply with the condition: A͞B=B͞C=B͞D. Crank 1 has two slots, c and d, along which pins e and f of links 2 and 3 slide. Connecting rod 6 is connected by turning pair B to crank 1 and by turning pairs D and C to links 4 and 5. Links 2, 3, 4 and 5 slide in fixed guides which are perpendicular to one another. When crank 1 turns about fixed axis A, displacement y of link 2 is proportional to the tangent of angle a of revolution of crank 1, i.e. y=a*tan(α). Displacement x of link 3 is proportional to the cotangent of angle α since x=b*cot(α). Displacement y' of link 4 is proportional to the sine of angle α, i.e. y'=2r*sin(α), where 2r=DC. Displacement x' of link 5 is proportional to the cosine of angle α, i.e. x'=2r*cos(α), where r=A͞B.
$1285$LG,MO$

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Documents: Lever mechanisms  [Streambook]
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