Critical Assessment on the Stability and Convergence of the Conventional Gear Tooth Contact Analysis

Maksat Temirkhan, Andas Amrin, Christos Spitas, Bakytzhan Sariyev, Chingis Kharmyssov

Research output: Journal PublicationArticlepeer-review

Abstract

Mathematical modeling of gear engagement is crucial during design to ensure optimal performance in manufacturing. This study reproduces the conventional tooth contact analysis (TCA) model, highlighting convergence issues in parallel-axis gears and limitations in local synthesis methods. The research critically analyzes the TCA method, which solves five nonlinear equations to assess performance and accuracy. Simulations replicate the conditions of previous studies to ensure valid comparisons. Initial guess values are randomly generated within a specific range to guide the iterative process toward convergence, with this range progressively narrowed to improve computational efficiency and accuracy. Results indicate that the TCA approach is highly sensitive to initial guess values, particularly the starting angular position. Convergence issues arise from the complexity of nonlinear equations and multiple roots. This can lead to divergence or reverting to the initial guess when values deviate significantly from the true solution.

Original languageEnglish
Pages (from-to)67-80
Number of pages14
JournalProceedings of Engineering and Technology Innovation
Volume28
DOIs
Publication statusPublished - 31 Oct 2024

Keywords

  • convergences issue
  • gear TCA
  • helical gear
  • misalignments
  • spur gear

ASJC Scopus subject areas

  • General

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