Study on the mesh stiffness and nonlinear dynamics accounting for centrifugal effect of high-speed spur gears

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The centrifugal effect is one of the most common phenomena in rotor dynamic systems, while typically ignored in the mesh stiffness evaluation by many research papers. Focusing on the centrifugal force in high-speed working condition, this paper developed an analytical-FEM framework to integrate the centrifugal field into the mesh stiffness and nonlinear dynamics. The additional potential caused by centrifugal force is condensed in the mesh stiffness calculation. The gear torsional dynamic model is further extended to embody the internal dynamic effect in centrifugal field. Solutions of gear statics and dynamics are compared with existing models and experiments, and results demonstrate the reasonable accuracy of the present model.