Computerized design and simulation of meshing of modified double circular-arc helical gears by tooth end relief with helix

The contents of the paper cover: (i) computerized design, (ii) method for modification, (iii) simulation of meshing, and (iv) finite element analysis of the unmodified and modified double circular-arc gears. The approach proposed of tooth end relief with helix is based on the curves of circumferential displacement differences between before and after tooth surfaces entering in mesh and exiting out mesh. And the solutions under the conditions of different modification parameters are investigated. The results demonstrate that the method enables to decline transmission errors, decrease the maximum contact stress, lessen the tooth end stress, and cut down the circumferential displacement difference, effectively. Therefore, the purposes for modification of reducing noise and vibration and avoiding edge contact are achieved. In comparison with conventional double circular-arc gears, the developed theory is illustrated with numerical examples that confirm the advantages of the gear drives of the modified geometry.