## Nomenclature  
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* [9] [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] Rotating machinery fault-induced vibration signal modulation effects: A review with mechanisms, extraction methods and applications for diagnosis. _Mech. Syst. Signal Process._**2023**, _200_, 110489. [CrossRef]
* [10] [PERSON]; [PERSON]; [PERSON] Analytical vibration signal model and signature analysis in resonance region for planetary gearbox fault diagnosis. _J. Sound Vib._**2021**, _498_, 115962. [CrossRef]
* [11] [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] A phenomenological model for investigating unequal planet load sharing in epicyclic gearboxes. _Mech. Syst. Signal Process._**2020**, _135_, 106414. [CrossRef]* (12) [PERSON]; [PERSON] Two methods for modeling vibrations of planetary gearboxes including faults: Comparison and validation. _Mech. Syst. Signal Process._**2017**, _92_, 213-225. [CrossRef]
* (13) [PERSON]; [PERSON]; [PERSON] An Improved Phenomenological Model of the Planetary Gearbox Based on Meshing Vibration Characteristics. _IEEE Access_**2020**, \(8\), 103462-103475. [CrossRef]
* (14) [PERSON]; [PERSON]; [PERSON]; [PERSON] Vibration Mechanism and Improved Phenomenological Model of Planetary Gearbox with Broken Sun Gear Fault. _Measurement_**2021**, _178_, 109356. [CrossRef]
* (15) [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] A phenomenological model of vibration signals of epicyclic gearboxes under meshing impact excitations. _Mech. Syst. Signal Process._**2023**, _187_, 109904. [CrossRef]
* (16) [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] Resonance modulation vibration mechanism of equally-spaced planetary gearbox with a localized fault on sun gear. _Mech. Syst. Signal Process._**2022**, _166_, 108450. [CrossRef]
* (17) [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON]; [PERSON] A mathematical model of vibration signal for multistage wind turbine gearboxes with transmission path effect analysis. _Mech. Mach. Theory_**2022**, _167_, 104428. [CrossRef]
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* (19) [PERSON]; [PERSON]; [PERSON]; [PERSON] Simulation Research on the Time-Varying Meshing Stiffness and Vibration Response of Micro-Cracks in Gears under Variable Tooth Shape Parameters. _Appl.