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DELONE SLIDER-CRANK MECHANISM FOR TRACING HYPERBOLAS

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The lengths of the links comply with the conditions: A͞B=A͞’B=A͞’C=A͞C= a and B͞D=D͞C=b. Thus, links 2, 3, 6, 7, 8 and 9 form an inversor. Slider 1 moves along fixed guides p. Sliders 4 and 5 move along fixed guides q. The angle between axes 0y and 0z of guides q and p is 90°-φ. When slider 1 moves along guides p, points A and A' describe the two branches of a hyperbola whose asymptotes are the straight lines z-z and z' -z' . The equation of the hyperbola is (x²/(a²-b²))-(y²/(k²(a²-b²))) where k=tan²(φ).
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Documents: Lever mechanisms  [Streambook]
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