Elliptical harmonic motion and Euler-Savary formula

DOI10.1007/s00006-015-0609-yzbMath1351.53019OpenAlexW1876527232MaRDI QIDQ297589

Soley Ersoy, Nuno T. Sá Pereira

Publication date: 27 June 2016

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-015-0609-y

zbMATH Keywords

Euler-Savary formulaelliptical harmonic motionelliptical numbers

Mathematics Subject Classification ID

Differential geometric aspects in kinematics (53A17)

Related Items (5)

\(p\)-trigonometric approach to elliptic biquaternions ⋮ Angle measures, general rotations, and roulettes in normed planes ⋮ On elliptic biquaternion matrices ⋮ Elliptic biquaternion algebra ⋮ A note on elliptic biquaternions

Cites Work

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• One-parameter homothetic motion in the hyperbolic plane and Euler-Savary formula
• Dual Lorentzian spherical motions and dual Euler-Savary formula
• Elliptic motion on dual hyperbolic unit sphere \({\widetilde{\mathbb H}}_0^2\)
• Path curvature of a geared seven-bar mechanism.
• Curvature theory for the double flier eight-bar linkage
• Curvature theory for a two-degree-of-freedom planar linkage
• Geometry of Generalized Complex Numbers

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