NDLI: A simplified computer solution for the flexibility matrix of contacting teeth for spiral bevel gears

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A simplified computer solution for the flexibility matrix of contacting teeth for spiral bevel gears

Content Provider	NASA Technical Reports Server (NTRS)
Author	Cheng, H. S. Hsu, C. Y.
Copyright Year	1987
Description	A computer code, FLEXM, was developed to calculate the flexibility matrices of contacting teeth for spiral bevel gears using a simplified analysis based on the elementary beam theory for the deformation of gear and shaft. The simplified theory requires a computer time at least one order of magnitude less than that needed for the complete finite element method analysis reported earlier by H. Chao, and it is much easier to apply for different gear and shaft geometries. Results were obtained for a set of spiral bevel gears. The teeth deflections due to torsion, bending moment, shearing strain and axial force were found to be in the order 10(-5), 10(-6), 10(-7), and 10(-8) respectively. Thus, the torsional deformation was the most predominant factor. In the analysis of dynamic load, response frequencies were found to be larger when the mass or moment of inertia was smaller or the stiffness was larger. The change in damping coefficient had little influence on the resonance frequency, but has a marked influence on the dynamic load at the resonant frequencies.
File Size	1606125
Page Count	74
File Format	PDF
Alternate Webpage(s)	http://archive.org/details/NASA_NTRS_Archive_19870014544
Archival Resource Key	ark:/13960/t3xt0m36z
Language	English
Publisher Date	1987-06-01
Access Restriction	Open
Subject Keyword	Mechanical Engineering Damping Deflection Computerized Simulation Elastic Deformation Flexibility Shafts Machine Elements Axial Strain Finite Element Method Mass Bending Moments Gears Moments of Inertia Gear Teeth Resonant Frequencies Stiffness Torsion Contact Loads Shear Strain 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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