On the geometry of the planar 4-bar mechanism

DOI10.1007/BF00051348zbMath0629.70002OpenAlexW2026826466MaRDI QIDQ1094157

C. G. Gibson, Harald Niederreiter

Publication date: 1986

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00051348

zbMATH Keywords

Morse theoryplanar four-bar mechanismgeometry of coupler curvesSegre quartic surface

Mathematics Subject Classification ID

Kinematics of mechanisms and robots (70B15)

Related Items (15)

On a lattice problem of H. Steinhaus ⋮ On the geometry and dynamics of floating four-bar linkages ⋮ Complex geometry of polygonal linkages ⋮ Generic properties in Euclidean kinematics ⋮ Singularities of general one-dimensional motions of the plane and space ⋮ Centered configurations of open linkages ⋮ Critical configurations of planar multiple penduli ⋮ Geometrical formulation of bond graph dynamics with application to mechanisms ⋮ Survey of the Steinhaus Tiling Problem ⋮ On the elliptic curves arising from 4-bar mechanisms ⋮ Sets meeting isometric copies of the lattice Z ² in exactly one point ⋮ Cyclic polygons are critical points of area ⋮ Cross-ratios of quadrilateral linkages ⋮ Morse index of a cyclic polygon. II ⋮ On configuration spaces of planar pentagons

Cites Work

• Morse Theory. (AM-51)
• Nets of quadrics, and theta-characteristics of singular curves
• Lectures on Curves on an Algebraic Surface. (AM-59)
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