Critical Assessment on the Stability and Convergence of the Conventional Gear Tooth Contact Analysis
Temirkhan M. Amrin A. Spitas C. Sariyev B. Kharmyssov C.
31 October 2024Taiwan Association of Engineering and Technology Innovation
Proceedings of Engineering and Technology Innovation
2024#2867 - 80 pp.
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.
convergences issue , gear TCA , helical gear , misalignments , spur gear
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Science Department, Astana IT University, Astana, Kazakhstan
Department of Mechanical and Aerospace Engineering, Nazarbayev University, Astana, Kazakhstan
School of Aerospace Engineering, Department of Mechanical, Materials and Manufacturing Engineering, University of Nottingham, Ningbo, China
Department of Physics, Zhetysu University, Taldykorgan, Kazakhstan
Science Department
Department of Mechanical and Aerospace Engineering
School of Aerospace Engineering
Department of Physics
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