球面渐开线齿形弧齿锥齿轮NURBS设计与动力学分析
发布时间:2018-01-02 16:12
本文关键词:球面渐开线齿形弧齿锥齿轮NURBS设计与动力学分析 出处:《新疆大学》2015年硕士论文 论文类型:学位论文
更多相关文章: 弧齿锥齿轮 球面渐开线 建模 NURBS 动力学
【摘要】:弧齿锥齿轮齿面的精确数字化模型是其数字化制造中关键技术(如齿面接触分析、齿面误差修正以及测试等)的基础。目前,弧齿锥齿轮实体建模大都以啮合原理为基本理论出发点,得到的近似球面渐开线齿形弧齿锥齿轮存在原理性误差。因此本文提出了球面渐开线齿形弧齿锥齿轮设计方案,并利用动力学分析对模型的动态啮合特性和振动特性进行了相关研究,为弧齿锥齿轮的数字化建模提供了新的思路和途径。弧齿锥齿轮的理论齿形曲线为球面渐开线,本文从弧齿锥齿轮齿面精确组成和形状特征出发,将球面渐开线形成原理应用于齿面基本曲线的求导中,完成了齿面曲线的分段参数化。采用NURBS曲面拟合方法对齿面进行重构以提高齿面精度。通过三维软件的运动仿真,表明了建模方案所得齿轮模型具有良好的传动可行性和正确性。基于精确的参数化实体模型,通过动力学分析方法对模型的动态啮合特性进行了深入的研究。以主被动轮转速和加速度变化规律为切入点,从啮合速度和负载两个典型的工作条件因素出发,研究了弧齿锥齿轮的啮合冲击特性,得到了主被动轮转速和转动加速度的变化规律,以及齿面接触应力云图。完成了球面渐开线齿形弧齿锥齿轮动态特性的研究。通过对弧齿锥齿轮轮齿的受力分析,总结了弧齿锥齿轮系统的振动形式,利用质量集中法建立齿轮系统耦合振动数学分析模型,对模型的运动微分方程求解后得到了主被动齿轮的沿各方向的振动位移响应,完成了对齿轮振动特性的研究。利用模态分析对主被动齿轮模型的模态进行了研究,得到了主被动轮的静止状态下的各阶固有频率和振型图,为避免共振提供了依据。同时也说明了齿轮模型具有良好的振动特性。
[Abstract]:The tooth surface of spiral bevel gear precision digital model is the key technology in digital manufacturing (such as tooth contact analysis, tooth surface error correction and testing) foundation. At present, the spiral bevel gear modeling mostly the meshing principle of basic theory, the approximate spherical involute spiral bevel gears have the principle of error. So this paper put forward the spherical involute spiral bevel gear design, and the use of the relevant research dynamic meshing characteristics and vibration characteristics of the model, and provides a new approach for digital modeling of spiral bevel gear. The theoretical tooth curve of spiral bevel gear is spherical in this paper, involute, spiral bevel gear tooth surface precision components and shape features, the formation of spherical involute tooth surface principle applied to basic curve derivation, piecewise curve tooth surface finish Parameter. Using NURBS surface fitting method on tooth surface reconstruction to improve the tooth surface precision. Through the motion simulation of 3D software, show that the model of gear drive with the modeling scheme feasibility and correctness. Parametric modeling based on accurate, through dynamic analysis method to model the dynamic meshing characteristics in-depth in order to study. The main passive wheel speed and acceleration variation as the starting point, from the point of meshing speed and load of two typical working conditions of meshing impact factors, characteristics of the spiral bevel gear has been active and passive wheel speed and rotating acceleration variation, contact stress nephogram and tooth surface. The research of spherical involute the tooth bevel gear dynamic characteristics is done. By force of spiral bevel gear vibration analysis, summed up the form of a spiral bevel gear system, the use of quality Centralized method to establish the coupled vibration analysis of the gear system mathematical model for solving the differential equation of motion model has been obtained after each direction vibration displacement of main driven gear response of gear vibration was carried out. Using modal analysis modal of active and passive gear model are studied, and obtain the order natural frequency and vibration figure still under active and passive wheel, to avoid resonance. Provide the basis also show that the gear model has good vibration characteristic.
【学位授予单位】:新疆大学
【学位级别】:硕士
【学位授予年份】:2015
【分类号】:TH132.41
【参考文献】
相关期刊论文 前2条
1 吴序堂,王小椿,,李锋;曲线齿锥齿轮三阶接触分析法的原理及传动质量评价[J];机械工程学报;1994年03期
2 梁君;赵登峰;;模态分析方法综述[J];现代制造工程;2006年08期
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