Dynamic response calculation methods of traveling wave resonances associated with spiral bevel gear drives

XUE Ao; LU Tingting; LI Zhengminqing; LÜ Chuanmao; LEI Mozhi; PENG Chunlei; ZHANG Jian

doi:10.16578/j.issn.1004.2539.2026.08.015

Abstract：[Objective]In the spiral bevel gears of helicopter transmission systems,there exists a problem where gear web fracture occurs due to resonance caused by the proximity between the gear meshing excitation and the inherent traveling wave vibration frequency of the gears.It is necessary to clarify the gear response characteristics under traveling wave resonance to evaluate the gear's operating performance.To this end,a computational simulation method for the overall structural traveling wave resonance dynamic response of spiral bevel gears was proposed.[Methods]Based on the fact that the force acting on the teeth of the driven gear was a spatially periodic function,and following the idea of approximating periodic functions using multiple trigonometric functions,a simulated excitation in the form of a half-sine wave was constructed.The gear was kept stationary,and the traveling wave resonance simulated excitation was applied with consideration of the contact ratio to fit the actual load-bearing state of the gear teeth.The finite element method was used to solve the traveling wave resonance dynamic response of the spiral bevel gear,thereby obtaining the overall structural dynamic response distribution.[Results]Results of dynamic response tests show that,the comparison error between the test results and the simulation calculations is no more than 5.77%,which verifies the effectiveness of the proposed simulation method for calculating the resonance dynamic response distribution of the spiral bevel gear structure.Based on the verified method,the forward traveling wave resonance response of the 4-node diameter of the web is analyzed,and the influence law of the web hole structure on the traveling wave resonance is obtained.