학술논문

基于分形理论的变齿厚齿轮接触应力分析 / STUDY ON CONTACT STRESS OF BEVELOID GEAR BASED ON FRACTAL THEORY
Document Type
Academic Journal
Source
机械强度 / Journal of Mechanical Strength. 46(1):169-175
Subject
变齿厚齿轮
分形理论
接触应力
Hertz接触理论
Beveloid gear
Fractal theory
Contact stress
Hertz contact theory
Language
Chinese
ISSN
1001-9669
Abstract
为了更准确地反应变齿厚齿轮齿面真实接触应力,构建了变齿厚齿轮的齿面接触系数,并对其合理性进行了验证.基于分形接触理论和Hertz接触理论建立了综合考虑齿轮齿面粗糙形貌、接触点弹性变形、材料特性等参数的变齿厚齿轮接触模型,计算变齿厚齿轮的接触强度,并与有限元计算结果进行比较,验证了方法的有效性.通过分形理论得出齿轮啮合时载荷与面积的关系,并对 4 个基本参数进行仿真,分析分形接触模型的效果.结果表明,通过数值模拟和分析实际接触面积与载荷的关系图,验证了分形接触模型的准确性.基于有限元理论、Hertz接触理论和分形理论,对变齿厚齿轮的齿面接触强度进行了比较和分析,验证了分形接触模型计算变齿厚齿轮接触应力的正确性,该模型的建立为变齿厚齿轮的设计与强度校核提供了一定的理论依据.
In order to more accurately reflect the real contact stress on the tooth surface of beveloid gear,this paper constructs the tooth surface contact coefficient of beveloid gear,and verifies its rationality.Based on fractal contact theory and Hertz contact theory,a contact model of beveloid gear is established,which comprehensively considers the parameters such as gear tooth surface roughness,elastic deformation of contact point and material characteristics.The effectiveness of this method is contact strength of beveloid gear,which is compared with the finite element calculation results by calculating.The relation between load and area during gear meshing is obtained through fractal theory,and four basic parameters are simulated to analyze the effect of fractal contact model.The results show that the accuracy of fractal contact model is verified by numerical simulation and analysis of the relation between actual contact area and load.This paper is based on the finite element theory,Hertz contact theory and fractal theory,the tooth surface contact strength of beveloid gear is compared and analyzed,the correctness of calculating the contact stress of beveloid gear by fractal contact model is verified.The establishment of this model provides a certain theoretical basis for the design and strength check of beveloid gear.