A twist exponential approach to gear generation with general spatial motions

DOI10.1016/J.MECHMACHTHEORY.2008.03.007zbMath1188.70016OpenAlexW2011614559MaRDI QIDQ1005037

Marco Gabiccini

Publication date: 12 March 2009

Published in: Mechanism and Machine Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mechmachtheory.2008.03.007

zbMATH Keywords

Jacobianstwistshypoid gearsequation of meshingCNC cutting machinesgear generationproduct-of-exponentials

Mathematics Subject Classification ID

Kinematics of mechanisms and robots (70B15)

Related Items (2)

Geometric contact pattern estimation for gear drives ⋮ On the estimation of continuous mappings from cradle-style to 6-axis machines for face-milled hypoid gear generation

Cites Work

• An invariant approach for gear generation with supplemental motions
• Alternative formulation of the theory of gearing
• Direct gear tooth contact analysis for hypoid bevel gears
• Generation and curvature analysis of conjugate surfaces via a new approach
• Computational aspects of the product-of-exponentials formula for robot kinematics
• Least squares tracking on the Euclidean group
• Gear Geometry and Applied Theory
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