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Student's Work: Symmetric rolling motion

The instantaneous pole P traces the so-called fixed/moving polode in the fixed/moving system during the constrained motion of a given mechanism. It is well known that this motion can also be generated by the rolling of the moving polode along the fixed polode without sliding. If the polodes are symmetric with respect to the pole tangent, then the motion is called symmetric rolling.

For the following three mechanisms the polodes are conic sections:


  1. W. Wunderlich: Ebene Kinematik (Hochschultaschenbuch 447/447a), Bibliograph. Inst. Mannheim, Mannheim, 1970
  2. R. Bereis: Über die symmetrische Rollung, Österreichisches Ingenieur-Archiv, Band VII, Heft 3, Seiten 243-246, 1953

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Hans Havlicek
Friedrich Manhart
Georg Nawratil


Institute of Discrete Mathematics and Geometry

Twin crank mechanism with non-counter-rotating cranks Twin crank mechanism with counter-rotating cranks Symmetric slider–inverted-slider mechanism

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