Abstract
Purpose of this study is the study of loading and contact problems encountered at rotating machine elements and especially at tooth gears. Tooth gears are some of the most commonly used mechanical components for rotary motion and power transmission. This fact proves the necessity for improved reliability and enhanced service life, which requires precise and clear knowledge of the stress field at gear tooth. This study investigates three different study cases of the stresses occurring during the single tooth meshing, regarding the gear module, power rating and number of teeth as variable parameters. Using finite elements analysis, the stresses and deflections on discrete points of contact are derived. Finally from the finite elements analysis results calculated the peripherical bending stiffness of the loaded tooth. From FEM analysis and analytical calculation the magnitudes of root stresses, contact displacement and peripherical bending stiffness, during the single tooth contact, are presented with graphs versus the height of the contact to the total tooth height ratio. During the single tooth contact the values of the Equivalent and 1st principal stress at the addendum of the tooth, the bending deflection and the peripherical bending stiffness at the point of contact are proportional to the height of the contact in respect of the total tooth height.
Highlights
Most mechanical systems including gear sets are sensitive to operating conditions such as excessive applied torque, bad lubrication and manufacturing or installation problems
The applied method assumes that the maximum load during gear tooth meshing is applied to the Highest Point of Single Tooth Contact (HPSTC), (Spitas et al, 2005; Raptis et al, 2010)
For the purposes of this investigation, computed Finite Element Analysis was used to simulate the loading of different gear teeth (Table 1), with one-tooth models fixed at their boundary (Fig. 6-8)
Summary
Most mechanical systems including gear sets are sensitive to operating conditions such as excessive applied torque, bad lubrication and manufacturing or installation problems. When the tooth surfaces are subjected to excessive stress conditions, failure of the tooth surface may occur. This can cause removal and plastic deformation of the contacting tooth surfaces and fatigue crack apparition. Many works have been carried out to calculate this stiffness. Finite Elements Models (FEM) are the most popular tools used to do this. Analytical methods showed good results in calculating tooth stiffness. They offer satisfying results, good agreements compared with FEM and reduced computation time (Fakher et al, 2009)
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