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Three-dimensional Modeling and Bending Stress Analysis of Helical Gears With Precise Load Distribution

Wang Xiu-ting

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Abstract

From the principle of generating method,an accurate model of involute helical gear was built using three-dimensional modeling software.Based on the deformation compatibility equation for gear pair,the load distribution on each meshing pitch point was calculated with linear programming technique.Then the total load coefficients between different teeth were calculated.Using finite element software-ANSYS,the maximum tooth root bending stress in meshing process of the whole gear model was found,thus it can provide evidence for checking tooth bending strength.The results show that the maximum root bending stresses for helical gears are likely to appear when more teeth are engaged,which is different from spur gears.

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What this paper is about

From the principle of generating method,an accurate model of involute helical gear was built using three-dimensional modeling software.Based on the deformation compatibility equation for gear pair,the load distribution on each meshing pitch point was calculated with linear programming technique.Then the total load coefficients between different teeth were calculated.Using finite element software-ANSYS,the maximum tooth root bending stress in meshing process of the whole gear model was found,thus it can provide evidence for checking tooth bending strength.The results show that the maximum root bending stresses for helical gears are likely to appear when more teeth are engaged,which is different from spur gears.

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Available abstract

From the principle of generating method,an accurate model of involute helical gear was built using three-dimensional modeling software.Based on the deformation compatibility equation for gear pair,the load distribution on each meshing pitch point was calculated with linear programming technique.Then the total load coefficients between different teeth were calculated.Using finite element software-ANSYS,the maximum tooth root bending stress in meshing process of the whole gear model was found,thus it can provide evidence for checking tooth bending strength.The results show that the maximum root bending stresses for helical gears are likely to appear when more teeth are engaged,which is different from spur gears.

Key concepts: Structural engineering, Involute, Finite element method, Load distribution, Bending, Stress (linguistics), Engineering, Software

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