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SLIDER-CRANK MECHANISM WITH A SEGMENT GEAR AND RACK

Abstract

Crank 1 rotates about fixed axis A and is connected by turning pair B to connecting rod 2 which, in turn, is connected by turning pair C to slider 3. Slider 3 moves along fixed guides a-a, and is connected by turning pair C to link 4 which has segment gear d that meshes with fixed gear rack b. When crank 1 rotates, segment gear d rolls along rack b and point D of link 4 describes cycloidal curves of a circle of radius r, where r is the pitch radius of segment gear d. In particular, point D describes a prolate cycloid. $2426$LrG,5L$

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