The Spline Function Method and Finite Element Analysis of Double Circular Arc Gear

We use the spline function method to construct the tooth profile of the double circular arc gear. And we built a solid model of gear. Then we analyze its stress through finite element static analysis, modal analysis and transient analysis; calculate the gear´s vibration characteristic, the displacement and strain under a transient stress. In static analysis, we know the largest stress is at the waist of the tooth. In modal analysis, we analyze the inhere vibrated frequency-ratio of the gear. So that we can avoid resonance ensure that the structure won´t be destroyed when enduring impulsion load. The transient analysis shows that the stress, displacement and acceleration reach the maximum only at an instantaneous moment.