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SIX-BAR MECHANISM WITH AN ELLIPTIC CRANK OF VARIABLE LENGTH

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The lengths of the links comply with the condition: A͞B=B͞C. Link 1, rotating about fixed axis A, is connected by turning pair B to link 2. Link 2 is connected by turning pairs D and C to link 4 and slider 3. Slider 3 moves along fixed guides p-p. Link 4 is connected by a sliding pair to slider 5 which turns about fixed axis E. Point D describes an ellipse with its centre at point A and having the equation (x²/(m-n)²)+(y²/(m-n)²)=1. The variable vector p=A͞D can be regarded as the crank of slotted-link mechanism ADE with oscillating slider 5 and variable length A͞D: A͞D=(m²-n²)sqrt(1/m²+n²+2mn cos(2ϕ)) where ϕ= angle between vector p and axis Ax, m=A͞B, n =B͞D.
$1021$LG,6L$

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Documents: Lever mechanisms  [Streambook]
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