Universal Journal of Mechanical Engineering Vol. 5(3), pp. 87 - 96
DOI: 10.13189/ujme.2017.050303
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Mathematical Models, Oriented to the Synthesis of Hyperboloid Gear Drives with Eliminated Singularity on the Mesh Region

Emilia Abadjieva ^1,2, Valentin Abadjiev ^2,*
1 Graduate School of Engineering Science, Faculty of Engineering Science, Akita University, Japan
² Institute of Mechanics, Bulgarian Academy of Sciences, Bulgaria

ABSTRACT

The study illustrates the mathematical models, applied to the synthesis of hyperboloid gear drives. The kinematic approach for registration and elimination singularity from the vicinity of the pitch contact point at the mesh region of the synthesized spatial transmissions is shown. Analytical dependencies are illustrated in order to provide the definition and control of the singularity of first order on the conjugated active tooth surfaces, when hyperboloid gear sets are synthesized by applying two approaches for their synthesis: "synthesis upon a pitch contact point" and "synthesis upon region of mesh".

KEYWORDS
Hyperboloid Gear Drives, Kinematic Synthesis, Mathematical Modelling, Region of Mesh, Singularity

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Emilia Abadjieva , Valentin Abadjiev , "Mathematical Models, Oriented to the Synthesis of Hyperboloid Gear Drives with Eliminated Singularity on the Mesh Region," Universal Journal of Mechanical Engineering, Vol. 5, No. 3, pp. 87 - 96, 2017. DOI: 10.13189/ujme.2017.050303.

(b). APA Format:
Emilia Abadjieva , Valentin Abadjiev (2017). Mathematical Models, Oriented to the Synthesis of Hyperboloid Gear Drives with Eliminated Singularity on the Mesh Region. Universal Journal of Mechanical Engineering, 5(3), 87 - 96. DOI: 10.13189/ujme.2017.050303.