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直齿轮轮齿双侧裂纹对其刚度影响的研究 被引量:3

Research of the Influence of Spur Gear Tooth Bilateral Crack on Its Stiffness
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摘要 齿轮副的时变啮合刚度(Time-varying meshing stiffness,TVMS)是机械动力学分析中一个极为重要的参数,其准确程度直接影响着动力学分析结果的准确性。首先,从理论角度推导了剪切刚度的计算公式,并在案例分析中应用,将求得结果与有限元分析结果进行对比,结果显示相差较小;然后,建立了一种新的裂纹故障模型——轮齿双侧非对称裂纹模型;在基于精确全齿廓的能量法基础上,推导了轮齿双侧裂纹模型的时变啮合刚度计算公式,分析了裂纹形状参数对时变刚度的影响;最后,通过有限元法(Finite element method,FEM)进行了分析验证。结果表明,有限元法和能量法计算的结果基本一致。 The time-varying meshing stiffness(TVMS)of gear pair is a major parameter of mechanical dy⁃namics analysis,and its accuracy directly affects the accuracy of dynamics analysis results.At first,the formula for computation of shear stiffness is derived theoretically,and it is applied in the case analysis,the obtained re⁃sult is compared with and the result of finite element analysis,the result shows that the difference is small.Then,a kind of new crack failure model is established,which is called the gear tooth bilateral asymmetrical crack model.On the basis of the energy method based on the accurate full tooth profile,the calculation formula of TVMS of gear tooth bilateral asymmetrical crack model is derived.Then influence of crack shape on TVMS is analyzed.At last,the analysis validation is carried out by finite element method(FEM),and the results indi⁃cate,the results of finite element method and energy method are basically the same.
作者 赖俊杰 王衍学 蒋超阳 Lai Junjie;Wang Yanxue;Jiang Chaoyang(College of Mechanical and Electrical Engineering,Guilin University of Electronic Technology,Guilin 541000,China;School of Mechanical-electronic and Vehicle Engineering,Beijing University of Civil Engineering and Architecture,Beijing 100044,China)
出处 《机械传动》 北大核心 2021年第4期20-28,共9页 Journal of Mechanical Transmission
基金 国家自然科学基金(51875032) 桂林电子科技大学研究生教育创新计划项目(2020YCXS014)。
关键词 时变啮合刚度 非对称裂纹模型 精确全齿廓 能量法 有限元法 TVMS Asymmetrical crack model Accurate full tooth profile Energy method FEM
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