非均荷载下齿向应力与轮齿变形的数值模拟  

Numerical Simulation of Tooth Root Trace Stresses and Tooth Deformation under Non-uniform Distribution Load

作　　者：符双学[1] 周长江[2] 程秀全[1] 

机构地区：[1]广州民航职业技术学院,广东广州510403 [2]湖南大学汽车车身先进设计制造国家重点实验室,湖南长沙410082

出　　处：《机械传动》2010年第8期1-5,共5页Journal of Mechanical Transmission

基　　金：国家自然科学基金项目(50805044)

摘　　要：基于齿轮的精确建模对数值仿真精度的巨大影响,采用APDL-Maltab的参数化建模编程技术,通过对齿廓曲线的推导,建立了比较精确的齿轮模型。提出跑合前载荷沿接触线呈线性分布和跑合后呈三次抛物线分布的模拟方法,进而推导出跑合前后齿向荷载的分布曲线。对均布荷载、线性分布和三次抛物线分布的非均荷载作用下,齿宽方向上齿根最大应力和啮合线上轮齿变形的变化规律进行了比较研究,验证了齿端刚度效应和齿根应力、轮齿变形的连续性。非均荷载下齿根应力和轮齿变形的数值模拟表明:齿向荷载的不均匀性和齿端效应,使得齿根最大应力增大,轮齿最大变形减小。上述研究对于优化齿形设计和改善齿向荷载分布等具有一定的理论价值。Based on the considerable effect to numerical simulation of exact modeling, APDL-Matlab parametric modeling programming is used. Exactly gear teeth model is built by tooth profile curve derivation. A simulation method that contact load is linear before running-in and parabolic after running-in is supposed. Then, the trace stresses curves are deduced. The tooth root maximum stress of facewidth direction and varication rule of tooth deformation on line of action are contrasted and studied under non-uniform distribution load, linear distribution load and parabolic distribution load. The end stiffness effect and the continuity of tooth root stress and tooth deformation are validated. Under non-uniform distribution load, tooth root stress and tooth deformation are simulated and the results show that maximum tooth root stress increases but the tooth root maximum deformation decrease, due to non-uniform distribution trace load and end effect. The conclusions have some theory value on tooth profile optimal design and root trace load distribution improvement.

关 键 词：齿轮传动 非均荷载 齿向应力 轮齿变形 数值模拟 建模 

分 类 号：TH132.41[机械工程—机械制造及自动化]