Generation of a comprehensive load distribution algorithm in a gear pair and its effect on dynamic response Bir dişli çiftinde kapsamlı bir yük dağılım algoritması oluşturulması ve dinamik tepki üzerindeki etkisi

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Civan S. E., DEMİR C.

Journal of the Faculty of Engineering and Architecture of Gazi University, vol.39, no.4, pp.2601-2616, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 4
  • Publication Date: 2024
  • Doi Number: 10.17341/gazimmfd.1348239
  • Journal Name: Journal of the Faculty of Engineering and Architecture of Gazi University
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Art Source, Compendex, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.2601-2616
  • Keywords: gear system deformation, load distribution, nonlinear gear dynamics, Spur gear-pair, tooth surface modification
  • Yıldız Technical University Affiliated: Yes


Load distribution is affected by distortion of contact continuity along the face width due to deformations of the system elements. In this study, a coupled lumped parameter model is studied for a pair of spur gears to demonstrate tooth load distribution continuity with system deformation components. A loaded tooth contact analysis is made analytically in iterative progress. Shaft bending, the torsional deformation of the gear body, and the profile gap between mating surfaces are investigated to specify effects on load distribution. A nonlinear time-variant dynamic model of a pair of spur gears is established using the Lagrange method to see contact loss effects on dynamic transmission error. A lumped parameter model with coupling stiffness is utilized to obtain equivalent mesh stiffness. The nonlinear model considering torsional deformation and gear profile gap with the complete analytical approach is proposed as considering parabolic load distribution in contact that differs from existing literature. Shaft bending deformation is investigated in symmetrical and asymmetrical gear positioning. As the ratio of the distance of the gear to the bearings on the shaft increases, its partial loading also increases. The response of the system is adversely affected by the decreasing gear mesh stiffness with partial contact loss. The results are validated by the finite element analysis and experimental test results from the literature.