zbMATH — the first resource for mathematics

Optimization of the trochoid form in spur wheels. (Optimisation de la forme de la trochoïde dans un engrenage droit.) (French) Zbl 1177.74310
Summary: Generally, mechanical damage in gear wheels results from either cracks at the base of the tooth or from high contact pressure between the teeth. Starting from the principle of mass minimization, this note develops a new formulation in terms of displacement, calling on a new, more resistant and less voluminous form for the base of the teeth. As a result, the first cause of the breakages which happen at this point is due to the bounded concentration of constraints.

74P05 Compliance or weight optimization in solid mechanics
74M15 Contact in solid mechanics
Full Text: DOI