| Citation: | YAN Cheng, XU Kehan, ZHU Haoyuan, et al. Nodal-diameter vibration modes identification and wide-speed-range resonance-avoidance optimization of gears based on Campbell diagram[J]. Journal of Aerospace Power, 2026, 41（X）：20250463 doi: 10.13224/j.cnki.jasp.20250463
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Gears are crucial mechanical components to transmit power and torque, playing an irreplaceable role in aero-engines while continuously evolving towards higher speeds, heavier loads, and lighter weights. However, their dynamic performance faces substantial challenges. The issues of nodal-diameter resonance failure and modal jumping that occur within a wide operational speed range in the design optimization of an aero-engine bevel gear was addressed. A method based on the Campbell diagram was proposed to identify dangerous nodal-diameter vibration modes and optimize the structure of the gear to avoid resonance across a wide speed range. The method transformed traditional post-event, manual, experience-based judgments into a preemptive, automated, mathematically feature-driven optimization indicator, enabling separation and control of nodal-diameter vibration modes in gear vibration optimization. First, modal frequencies were distinguished by the Modal Assurance Criterion, ensuring an accurate fit to the Campbell diagram. The slopes of the frequency lines in the Campbell diagram were extracted, and based on these slopes, the presence of nodal-diameter vibration modes was identified. Their resonance frequencies were then predicted and recorded. Next, an optimization model was developed based on the dangerous nodal-diameter vibration mode identification method, to avoid resonance over a wide speed range. This aimed to minimize the gear mass while constraining the stress and the nodal-diameter resonance frequencies. The resonance-avoidance optimization process was constructed by assigning large values and the Pointer strategy. After optimization, the gear successfully avoided nodal-diameter resonance within the 75%—107% operational speed range, and its mass was reduced by 6.566%. This confirmed the effectiveness of the proposed gear nodal-diameter identification and resonance avoidance optimization method in engineering applications, offering significant support for the structural enhancement of aero-engine bevel gears.
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