Master of Science, The Ohio State University, 2020, Mechanical Engineering
In this study, an asymmetric tapered plate model is used to study the deflections of an asymmetric involute gear tooth. The bending and shear compliance of the plate was solved using the semi-analytical Rayleigh-Ritz energy method. The transverse deflection from the shear plate model were shown to be in excellent agreement with Finite Element Method (FEM) results, with acceptable normalized errors for different load cases. Computational efficiency of this semi-analytical model over FEM allows it to be used in Load Distribution Program (LDP), an existing gear analysis program, for predicting the load distribution, loaded transmission error, root stress, contact stress, mesh stiffness, tooth forces and other design evaluation parameters.
A profile generation method for asymmetric gears from arbitrary rack profiles is used to predict root stresses using Boundary Element Method (BEM) in LDP. Root stress predictions are made for pressure angles. Two cases of pressure angle variation for asymmetric gears with drive pressure angle greater than coast pressure angle are explored, (i) Increasing drive pressure angle while keeping coast pressure angle constant, (ii) Decreasing coast pressure angle while increasing drive pressure angle. Results indicate that bending stress reduces considerably in case (i) as the drive pressure angle is increased. In case (ii), root stresses remain unaffected on increasing asymmetry.
Committee: David Talbot (Advisor); Ahmet Kahraman (Committee Member)
Subjects: Design; Mechanical Engineering; Mechanics