Three-Dimensional Analyses of Spur Gear Bending Stresses by Global-Local Finite Element Technique

Abstract

Three-dimensional elastic stresses developed in the root fillet of spur gear tooth due to uniform or non-uniform load distribution are analyzed in detail using global-local technique. Results indicate that root stresses distribute always non-uniformly along tooth width, and the maximum critical root stress (CRS) and its position depend on the face width and load distribution form. The maximum CRS is always higher than the corresponding value obtained under plane assumption and the value on the free surface. So, it is dangerous to use the CRSs calculated in practical gear designs. This research provides knowledge of root stresses for engineer to guard against gear failure and to design for increased loading.

Evaluation of Spur Gear Pair on Tooth Root Bending Stress in Yawing Misalignment Contact Condition

“…Relationship between these factors found that the YMIF value is the highest 3.68 when AE = 0.4 0 for pinion and 3.54 for the gear. The graph of maximum TRBS to YMIF factor showed a similar pattern between each other's values can be described as a good justification as a result from [7] that the pinion is weaker compared to the gear, thus the factor should be more in terms of value. The propose FEM model and methodology are adequate in order to conduct a real time dynamics simulation to define the value of TRBS in Y condition due to AE.…”

“…Shun Li [6] continue the research with quasi-static using a load sharing ratio (LSR)method with tooth modifications. Though, there are many research continues comes out in this recent decade with TRBS as the main subject [7] so far, an effective detail of Y due to AE is still considered sparse in shadowed.…”

Evaluation of Spur Gear Pair on Tooth Root Bending Stress in Radial Misalignment Contact Condition

“…The graph of maximum TRBS to RMIF factor had shown an inverted pattern between each other's. These values can be describe as a good justification as result from [7] that the pinion is weaker compared to the gear, thus the factor should be more in term of value. …”

“…Shun Li [3] continue the research with quasi static loading model using load sharing ratio (LSR) method with tooth modifications. Though, there are many research continues comes out in this recent decade with TRBS as the main subject [7], so far, an effective detail of H due to AE is still sparse in shadowed.…”