Abstract
Problem statement: Toothed gears are some of the most used machine elements for motion and power transmission between rotating shafts. Thi s fact induces the need for improved reliability an d higher endurance, which require precise and clear k nowledge of the gear tooth stress field during meshing. Approach: This study considered the calculation of maximum s tress at gear tooth root when the meshing gears are loaded at their most unfavora ble contact point (highest point of single-tooth contact-HPSTC), using both numerical and experimental methods. Finite Element Method (FEM) is used for the numerical stress analysis and photoela sticity is applied for the experimental investigati on of the stress field. Results: The experimental results of the maximum dimensionless stress derived from the photoelasticity experiments are compared t o the respective theoretical stress results of the finite element analysis. Conclusion: It was found that the deviation between the result s of the applied methods falls between reasonable limits whereas it rises with increasing number of teeth of the large gear.
Highlights
First systematic attempt to calculate the position of critically stressed point is attributed to Lewis (1882) who considered that the inscribed isosceles parabola tangent to the dedendum of the tooth flank defines the critically stressed point which is located at the point of tangency at the side which is loaded by tensile stresses.Later, it was observed that the critically stressed point is positioned lower than the one determined by the method of inscribed parabola
Approach: This study considered the calculation of maximum stress at gear tooth root when the meshing gears are loaded at their most unfavorable contact point, using both numerical and experimental methods
Finite Element Method (FEM) is used for the numerical stress analysis and photoelasticity is applied for the experimental investigation of the stress field
Summary
First systematic attempt to calculate the position of critically stressed point is attributed to Lewis (1882) who considered that the inscribed isosceles parabola tangent to the dedendum of the tooth flank defines the critically stressed point which is located at the point of tangency at the side which is loaded by tensile stresses. It was observed that the critically stressed point is positioned lower than the one determined by the method of inscribed parabola. This finding is compatible with the photoelasticity experimental results. The “30 degrees tangent” is another method which argues that the critically stressed point is independent of the load location and it is located at a specific point at the tooth root. This method is adopted by the ISO standards, (Kawalec et al, 2006), it is approximate and applicable only to low stressed gears
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