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EINDVARDTS LINK-GEAR ELLIPSOGRAPH

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The lengths of the links comply with the conditions: E͞B=B͞C=C͞D=D͞E, so that figure EBCD is a rhombus linkage. Links 3 and 4 rotate about fixed axis C. Links 5 and 6 are connected by turning pair E to link 7 which rotates about fixed axis A. Link 8 is connected by turning pair B to links 3 and 5, and moves in slider 2. Sliders 1 and 2 are connected together by turning pair K. Thus the axis of link 8 forms the diagonal B͞D of rhombus linkage EBCD. Sliders 1 and 2 move along the axes of links 7 and 8. When link 7 rotates about axis A, point K describes an ellipse with the equation p=l*sqrt((l²-a²)/(l²-a²cos(ϕ))) where 2l=A͞E, a=A͞0=0͞C, p=radius vector of point K in a polar coordinate system with its origin at the middle of line A͞C, ϕ=angle of rotation of radius vector p from the initial line. The condition under which the mechanism will generate ellipses is l>a.
$1045$LG,Ge$

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Documents: Lever mechanisms  [Streambook]
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