Time-varying mesh characteristics of beveloid gears with crossed axes and small shaft angle

The objective of this study was to reveal time-varying mesh characteristics and nonlinear dynamics of a crossed beveloid geared rotor system with small shaft angle. A new mesh model based on exact gear geometry was developed. Using the proposed mesh model, the time-varying mesh stiffness and time-varying transmission error were obtained. A nonlinear vibration model was set-up to study the dynamics of the crossed beveloid geared rotor system using the lumped parameter method considering variation of load and backlash nonlinearity. The results showed that increase in torque load tends to increase transmission error, mesh stiffness, dynamic transmission error and dynamic mesh force; also, the frequency of the major response peak becomes lager due to increase in mesh stiffness; under a light torque load level, the non-linear behaviors including jump discontinuities coupled with single-sided tooth impacts and double-side tooth impacts can be seen with increase in backlash; under a heavy torque load level, the range of double-side tooth impact becomes wider and the dynamic mesh force increases.