We present a consistent methodology for analyzing and computing both the tooth-flanks of hypoid gears and their geometrie contact in a gear drive. The to a great extend new approach is based on a very general model of the generating process of hypoid gears. The quantities of the main interest are constructively characterized as first-order singularities of suitable non linear functions. The closed analytical treatment of the matter allows in particular the efficient evaluation ofthe sensitivities of the characterized quantities with respect to arbitrary model parameters. These sensitivities constitute the final key to the application of modern numerical methods to optimize the tooth-flank geometry with respect to desired tooth-contact properties. To lay the rnathematical Inundation of all our investigations, we first examine certain generic singularities of functions that are known as fold points. Therefore, we apply an implicit l.iapunov Schmidt reduction as the central mathematical tool. In contrast to the many existing accounts on this technique, we here consider functions that are only once locally Lipschitz continuously differentiable. For that purpose we use certain elements of nonsrnooth analysis. The characterization and classification of singularities takes place in the domain of the functions, whereas the geometrie meaning transpires and will be discussed in the range space. The constructive approach leads to minimally augrnented defining systems that are suitable for the efficient and accurate computation of singular sets and subsequently oftheir images.
Produktkennzeichnungen
ISBN-10
3832259864
ISBN-13
9783832259860
eBay Product ID (ePID)
211244333
Produkt Hauptmerkmale
Produktart
Lehrbuch
Sprache
Englisch
Anzahl der Seiten
134 Seiten
Verlag
Shaker Verlag, Shaker Verlag Gmbh
Publikationsname
Gear-Tooth-Flank And Gear-Tooth-Contact Analysis For Hypoid Gears
Autor
Olaf Vogel
Format
Taschenbuch
Erscheinungsjahr
2007
Zusätzliche Produkteigenschaften
Hörbuch
No
Item Length
21cm
Item Height
5mm
Item Width
14cm
Item Weight
204g
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