Title: Formational principle and accurate fitting methodology for a new tooth surface of the spiral bevel gear

Authors: Rui Zhan; Xieeryazidan Adayi; Han Ding

Addresses: School of Mechanical Engineering, Xinjiang University, Xinjiang Urumqi 830046, China ' School of Mechanical Engineering, Xinjiang University, Xinjiang Urumqi 830046, China ' State Key Laboratory of High-performance Complex Manufacturing, Central South University, Changsha 410083, China

Abstract: Distinguished with some basic theory and approaches of traditional tooth surface design, the spiral bevel gear with new tooth surface, namely spherical involute tooth surface, is investigated. Firstly, it improved its formational principle based on the spherical involute theory. As a key part, the parametric equation of the generating line was made a detailed derivation. To this end, fast and accurate solutions of the boundary curves and the tooth profile curve family are accomplished, respectively. Then, taking advantages of modelling techniques of cubic non-uniform rational B-spline (NURBS) curve and surface in CAD/CAM, a reconstruction method for the spherical involute tooth surface was proposed to enhance the precision. At last, related optimisation schemes associated with constructed NURBS tooth surface are utilised to obtain the parameterisation of tooth surface data and higher-accuracy fitting. Given numerical examples indicate that the accuracy of the tooth surface is obviously enhanced and is enough to provide gear finite element (FEM) analysis the data and the basic model in its digitised design and manufacturing.

Keywords: spiral bevel gears; spherical involute tooth surfaces; generating line; cubic NURBS; surface reconstruction; higher-accuracy fitting; gear teeth; tooth surface design; modelling; finite element analysis; FEA; FEM.

DOI: 10.1504/IJSPM.2016.075082

International Journal of Simulation and Process Modelling, 2016 Vol.11 No.1, pp.76 - 84

Received: 18 May 2015
Accepted: 28 Nov 2015
Published online: 02 Mar 2016 *

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