Simulation of Influences of Fractal Gap on Dynamic Characteristics of Helical Gear System

BAI Huijuan; SHI Jiajun; DOU Shuihai; WANG Le; DU Yanping; WANG xianwei

doi:10.19554/j.cnki.1001-3563.2025.21.021

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Packaging Engineering ›› 2025, Vol. 46 ›› Issue (21) : 201-209. DOI: 10.19554/j.cnki.1001-3563.2025.21.021

Automatic and Intelligent Technology

Simulation of Influences of Fractal Gap on Dynamic Characteristics of Helical Gear System

BAI Huijuan^1a,b, SHI Jiajun^1a,b, DOU Shuihai^1a,b, WANG Le^1a,b, DU Yanping^1a,b*, WANG xianwei²

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Abstract

The work aims to study the vibration enhancement and engagement instability caused by the nonlinear change of tooth flank clearance in gear transmission systems under high-speed and complex load conditions and to study its influence mechanism on the nonlinear dynamic characteristics of gear transmission systems. The fractal theory was applied to establish a tooth flank clearance model based on the W-M (Weierstrass-Mandelbrot) function. Combined with the Hertz contact theory and the lumped mass method, a nonlinear dynamic model of a multi-degree-of-freedom helical gear system was constructed. A virtual prototype was built using SolidWorks and Adams, and the system responses under different conditions (no-load/150 N rated load, 12 000 r/h and 18 000 r/h) and different fractal clearances were compared and analyzed. Since the fractal dimension was a key parameter determining the fractal clearance, this study took it as a control variable to explore its impact on the system response. The research showed that at high speed and no-load, a low fractal dimension could cause an increase in nonlinear vibration, while under load, a high fractal dimension helped improve system stability but intensified high-frequency disturbances at high speeds. Further analysis revealed that at fractal dimension D=1.5, a better balance could be achieved between dynamic stability and processing cost. This study provides a theoretical basis for the dynamic characteristic analysis of helical gear transmission systems and has certain guiding significance for the optimization design of tooth flank clearance.

Key words

dynamic modeling / tooth flank clearance / fractal dimension / Adams

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BAI Huijuan, SHI Jiajun, DOU Shuihai, WANG Le, DU Yanping, WANG xianwei. Simulation of Influences of Fractal Gap on Dynamic Characteristics of Helical Gear System[J]. Packaging Engineering. 2025, 46(21): 201-209 https://doi.org/10.19554/j.cnki.1001-3563.2025.21.021

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