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LINK-GEAR HYPERBOLA ENVELOPMENT MECHANISM

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The lengths of the links comply with the conditions: A͞B=a, A͞E=sqrt(a²-b²) and a>b, where a and b are the transverse and conjugate semiaxes of the hyperbola to be enveloped and angle tEq=90°. Link 1, turning about fixed axis A, is connected by turning pair E to link 5 which is designed as the bent lever tEq. Link 4, turning about fixed axis C, is connected by a sliding pair to cross-shaped slider 3 which has guides with axes perpendicular to each other. Arm Et of link 5 moves in slider 3. Link 2, turning about axis A, is connected by turning pair B to slider 3. Point A is placed at the centre of a hyperbola and point C at one of its foci. Then, when link 1 turns about axis A, the arms of right angle tEq of link 5 simul taneously envelop the hyperbola. The mechanism can envelop only portions of the hyperbola.
$1068$LG,Ge$

Linked items
Documents: Lever mechanisms  [Streambook]
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