NDLI: Mathematical models for the synthesis and optimization of spiral bevel gear tooth surfaces. [for helicopter transmissions]

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Mathematical models for the synthesis and optimization of spiral bevel gear tooth surfaces. [for helicopter transmissions]

Content Provider	NASA Technical Reports Server (NTRS)
Author	Goldrich, R. N. Rahman, P. Litvin, F. L.
Copyright Year	1982
Description	The geometry of spiral bevel gears and to their rational design are studied. The nonconjugate tooth surfaces of spiral bevel gears are, in theory, replaced (or approximated) by conjugated tooth surfaces. These surfaces can be generated by two conical surfaces, and by a conical surface and a revolution. Although these conjugated tooth surfaces are simpler than the actual ones, the determination of their principal curvatures and directions is still a complicated problem. Therefore, a new approach, to the solution of these is proposed. Direct relationships between the principal curvatures and directions of the tool surface and those of the generated gear surface are obtained. With the aid of these analytical tools, the Hertzian contact problem for conjugate tooth surfaces can be solved. These results are useful in determining compressive load capacity and surface fatigue life of spiral bevel gears. A general theory of kinematical errors exerted by manufacturing and assembly errors is developed. This theory is used to determine the analytical relationship between gear misalignments and kinematical errors. This is important to the study of noise and vibration in geared systems.
File Size	5589357
Page Count	123
File Format	PDF
Alternate Webpage(s)	http://archive.org/details/NASA_NTRS_Archive_19820017640
Archival Resource Key	ark:/13960/t2x39mg4t
Language	English
Publisher Date	1982-06-01
Access Restriction	Open
Subject Keyword	Mechanical Engineering Fatigue Life Error Analysis Gear Teeth Spiral Wrapping Compression Loads Kinematics Conjugate Points Helicopter Engines Mathematical Models Transmissions Machine Elements Optimization Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science
Content Type	Text
Resource Type	Technical Report

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