Calculation and analysis of contact and bending stresses in high reduction hypoid gears
YANG Kaiwang
WEI Bingyang
YANG Jianjun
WANG Wei
Abstract：[Objective]High reduction hypoid(HRH)gears with complex geometric parameters and tooth structures,as a broad form of new bevel gear transmission,lack of working contact stress and bending stress calculation methods.It is necessary to conduct research on the above issues.[Methods]Firstly,on the basis of analyzing the design points of geometric parameters of HRH gears,the calculation method of working stress of hypoid gears in ISO 10300 standard was given.Secondly,because HRH gears are beyond the scope of application of ISO standard,the calculation formulas of equivalent number of teeth and bending moment arm of the wheel teeth in ISO standard were modified in order to adapt to the strength calculation of HRH gears.Thirdly,taking HRH gears with a ratio of 3:60 as an example,the complete calculation method and process of the working stress of HRH gears were derived.Finally,by establishing an accurate three-dimensional model of HRH gears and using large-scale finite element analysis software,the corresponding working contact and bending stress calculation of gear were obtained.[Results]The results indicate that the calculation results using ISO standards and finite element method are similar.It expands the scope of application of ISO standard and proves the correctness of the proposed correction method of ISO standard and the feasibility of its application in engineering.
Keywords：High reduction hypoid gearISO standardModification of calculation methodFinite element analysisCalculation of working stress
Publication Date：2026-06-30
Online Publishing Date：2026-09-12(First online date of this platform, not the publication date of the document)
Pages：7( 143-149 )