Title: Theoretical model analysis and case simulation of spherical involute surface

Authors: Zixia Chen; Yan Zhao; Jingyu Liu; Zelin Chen

Addresses: Zhejiang Guangsha Vocational and Technical University of Construction, No. 1 Guangfu East Street, Dongyang, Zhejiang, 322100, China ' Zhejiang Guangsha Vocational and Technical University of Construction, No. 1 Guangfu East Street, Dongyang, Zhejiang, 322100, China ' Zhejiang Guangsha Vocational and Technical University of Construction, No. 1 Guangfu East Street, Dongyang, Zhejiang, 322100, China ' Westcliff University, 17877 Von Karman Ave #400, Irvine, CA, 92614, USA

Abstract: The theoretical model of a spherical involute surface is the premise and foundation of the 3D modelling design technology of spiral bevel gear. The forming process of the surface is also the forming process of its mathematical model. Based on the generating principle of spherical involute on cone and surface analysis, the system model is gradually divided into blocks from curve to surface, and the surface of the bevel gear is obtained by parameter coupling. The modelling process of curve, surface or initial spiral can be independently referenced. It can realise the precise modelling of complex spiral profile surfaces such as variable spiral angles. In this paper, the mathematical model of spiral bevel gear was simulated and analysed on the MATLAB2019b platform. The simulation results verified the correctness of the algorithm of the spiral bevel gear model and the practicability of design optimisation.

Keywords: spiral bevel gear; spherical involute surface; mathematical modelling; algorithm analysis; MATLAB simulation.

DOI: 10.1504/IJCSM.2022.126771

International Journal of Computing Science and Mathematics, 2022 Vol.16 No.1, pp.1 - 12

Received: 07 Jul 2021
Accepted: 01 Sep 2021
Published online: 07 Nov 2022 *

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