Whole Transfer Matrix Method for the Critical Speeds of Skew Gear Transmission System
Whole transfer matrix method is a powerful tool for calculating the critical speeds of multi-rotor system. With vector algebra, the six DOF relative displacement of a skew gear pair is deduced, then exciting force and moment generated by engagement force is calculated. By summing the inertia force and engagement loads, the whole transfer matrix of a skew gear pair is established. A numerical example illustrated the effect of different gear parameters on the critical speeds of the gear transmission system.
X. Y. Gang and S. Chai, "Whole Transfer Matrix Method for the Critical Speeds of Skew Gear Transmission System", Advanced Materials Research, Vols. 383-390, pp. 5474-5478, 2012