斜齿轮传动中啮合冲击数值研究

斜齿轮传动是一种应用广泛的机械传动形式,其啮合过程中存在冲击现象。使用MSC．Nastran的非线性仿真(SOL600)功能建立了斜齿轮啮合三维接触有限元分析模型,计算出冲击激励。使用瞬态响应分析法得到了斜齿轮在啮合冲击激励下的动力学特性,为斜齿轮传动系统的优化设计提供参考。     

线接触交错轴斜齿轮-面齿轮副精确齿面造型及啮合仿真

给出了线接触交错轴斜齿轮-面齿轮副精确齿面造型。基于啮合理论建立了交错轴斜齿面齿轮齿面数学模型,并计算出齿面离散数据点,根据齿面均匀离散点的输出数据,对齿面进行重构,实现了面齿轮的精确实体造型,并进行啮合仿真,采用齿面偏差法对生成的实体模型精度进行了评估,该模型可用于面齿轮数字化设计和制造。     

斜齿轮公法线长度的简化计算

一般书籍和手册里有关求斜齿轮公法线长度的方法似较麻烦,我们根据参考文献所列二文介绍一种更为简便的方法。这种方法适用于压力角a=20°的标准斜齿圆柱齿轮。 计算的具体步骤是:先根据事先给定的齿轮齿数Z和倾斜角β,由表1查得跨测齿数n,然后再利用下面的公式就可以计算出公法线长度Ln。其公式为: Ln=mn(A+B)式中mn──法面模数(mm); A── 与跨测齿数n有关的系数,其值可由表 2查得; B──与齿轮分度圆柱上的倾斜角β有关,其 数值由表3查得。 应用示例 例1已知一斜齿轮,m。一2.smm,Z—78,B一12”,a—20”,试确定跨测齿数并计算出公法…     

斜齿轮公法线长度的准确计算

漸开綫圓柱齿輪,用測量公法线长度来控制齿厚,巳被齿輪制造部門广泛采用。由于它不以外圓为測量基准,这样既可提高齿厚測量的精度,又可放松外圓的制造公差,降低制造成本。关于漸开綫圓柱斜齿輪公法綫长度的計算,有些书上介紹按假想齿数z/cos~3β查正齿輪的公法綫长度表。这种方法在小螺旋角的齿輪还可近似应用,而在大螺旋角和大模数齿輪上就不宜采用,会造成很大的論理計算誤差(参閱“机械制造”1959年第8期),对于精密齿輪更不宜采用。     

斜齿轮的齿面载荷及啮合刚度数值分析

基于齿轮啮合原理和接触问题有限元法 ,提出了一种自动生成任意啮合位置有限元模型的算法 ,开发了啮合轮齿自动建模程序及接触有限元分析程序 ,并对斜齿轮进行分析计算 ,得到了给定啮合位置齿面截荷分布曲线和运转过程啮合刚度的变化曲线     

矿用减速器斜齿轮副动态啮合仿真分析

利用大型有限元分析软件ANSYS建立了某矿用减速器变位斜齿轮副多齿对啮合的有限元非缌性接触分析模型.基于该模型,对齿轮副进行了在一定工况下的动态啮合仿真分析,得出瞬态啮合时轮齿的接触状态、接触应力、齿根弯曲应力以及主从动齿轮的转矩、转速随啮合位置变化的规律符合实际啮合规律,同时得到最恶接触位置,并在此位置进行了静态接触强度分析.分析结果表明,动态啮合仿真能够真实反映轮齿的接触状态、接触应力以及齿根弯曲应力的动态变化,静态接触分析进一步验证动态啮合分析的可靠性,也为疲劳寿命分析提供了依据.     

标准斜齿轮公法线长度的简易计算公式

通常用准确公式求标准斜齿轮的公法线长度需要经过大量的计算及查阅各种各样的函数表,为了简捷迅速地计算出公法线长度,介绍一种标准斜齿轮公法线长度的简易计算公式。该公式简单、实用,便于机床操作人员使用。     

齿轮变位对啮合刚度影响的数值仿真

为探究齿轮变位对啮合刚度的影响,采用两种不同方法计算齿轮啮合刚度:一是运用Pro/E二次开发对齿轮进行参数化建模,并将齿轮模型导入Abaqus软件进行有限元仿真计算,根据计算结果得出不同变位系数齿轮的时变啮合刚度曲线;二是基于能量法的解析法计算得出时变啮合刚度曲线。结果表明,在一定范围内,齿轮啮合的重合度随齿轮变位系数的增大而减小,齿轮的平均啮合刚度随齿轮变位系数的增大而减小。     

内斜齿轮修正及啮合仿真

将内斜齿轮传动副的外斜齿轮分别进行齿形、齿向修形,实现内斜齿轮的点接触。建立内斜齿轮副的传动坐标系,推导内斜齿轮和修形外斜齿轮的齿面方程,根据啮合理论建立非线性啮合方程组。计算内斜齿轮副参考点处的相对速度和法向量,通过牛顿迭代法得到了非线性啮合方程组的数值解,代入啮合方程组得到了传动误差、轮齿接触迹线和接触椭圆,从而实现了对点接触内斜齿轮副的啮合仿真。     

斜齿轮差动轮系啮合效率的分析与仿真

在以2K-H型斜齿差动轮系为原型的基础上,通过分析其转化机构的传递效率,在实际啮合区间内进行分段积分,得出了在实际啮合段中内啮合与外啮合斜齿轮啮合效率。并结合理想机械的概念,在考虑斜齿轮轴面重合度和磨擦啮合功率损失的基础上,推导出了斜齿轮差动轮系传动效率的计算公式。利用所给算例数据,计算出该轮系效率的理论值,再运用ADAMS与MATLAB联合仿真得出仿真结果,分析两者表明运用所推导效率公式得出的计算结果与仿真结果相吻合。所述的分析方法亦可以推出其他类型差动轮系效率。     

斜齿圆柱齿轮啮合刚度的一种简化计算

从直齿轮和斜齿轮数学模型的相似性方面入手,提出一种在已知直齿轮啮合刚度的基础上,确定相应斜齿轮啮合刚度的方法。     

新型变螺旋角正弦斜齿轮的啮合特性分析

基于齿轮啮合原理、微分几何的理论,推导了变螺旋角正弦斜齿轮传动的啮合方程,应用MATLAB软件和对该啮合方程的分析仿真得到了该齿轮传动的啮合轨迹,通过对仿真图形的分析,得出了副值系数H和螺旋角对变螺旋角正弦直斜齿传动啮合轨迹的影响大小。     

渐开线行星齿轮啮合力的动态仿真

利用solidworks建立了参数化渐开线齿轮三维实体模型,并导入多体动力学分析软件ADAMS.根据Hertz弹性撞击理论,在齿轮之间施加碰撞力,实现了齿轮啮合.并对行星齿轮啮合过程进行了仿真分析,研究了在不同条件下啮合力的变化情况.     

Transient meshing performance of gears with different modification coefficients and helical angles using explicit dynamic FEA

The gearbox, as the main part of power transmission of many mechanical systems, plays a critical role for the performance of the system. The transient meshing performance of the gears is dependent on their structural parameters like modification coefficient and helical angle among others. In this paper, the effects of modification coefficients and helical angles on the transient meshing performance of the gears are investigated using the method of explicit dynamic finite element analysis (FEA) in an energy point of view. The relationships between the transient meshing performance and modification coefficient or helical angle of gears are obtained by explicit dynamic simulation. The simulation results demonstrate that explicit dynamic FEA can be used for choosing these structural parameters in the design and manufacture of gears to enhance their transient meshing performance.     

CAD-based simulation of the hobbing process for the manufacturing of spur and helical gears

Targeting an accurate and realistic simulation of the gear hobbing process, we present an effective and factual approximation based on three-dimensional computer-aided design. Hobbing kinematics is directly applied in one gear gap. Each generating position formulates a spatial surface path which bounds its penetrating volume into the workpiece. The three-dimensional surface paths generated from the combination of the relative rotations and displacements of hob and work gear are used to split the subjected volume, creating concurrently the chip and the remaining work gear solid geometries. The developed software program HOB3D simulates accurately the manufacturing of spur and helical gears, exploiting the modeling and graphics capabilities of a commercial CAD software package. The resulting three-dimensional solid geometrical data, chips and gears provide the whole geometrical information needed for further research, such as prediction of the cutting forces, tool stresses and wear development as well as the optimization of the gear hobbing process.     

Temperatures of meshing gears under conditions of elastohydrodynamic lubrication

Formulae which have been derived previously were used to determine the temperatures in the contact zone of spur gears meshing under conditions of elastohydrodynamic lubrication.     

直齿圆锥齿轮啮合过程数值模拟

利用大型有限元分析软件MSC．Marc,建立了直齿雏齿轮完整齿轮齿对啮合的三雏有限元非线性接触分析模型。该模型可以同时实现运动的传递,基于该模型,在一个啮合周期内,对齿轮副进行了准静态啮合仿真模拟,并对数值模拟结果进行了分析,为齿轮修形提供了理论依据。     

圆柱齿轮啮合干涉及根切的分析研究

设计制造小齿数齿轮，轮齿啮合干涉及根切将是一个重要的问题。这里对渐开线齿轮、圆弧齿轮、摆线齿轮、双渐开线齿轮等圆柱齿轮的啮合干涉及根切问题进行了综合分析研究。指出其产生原因、危害及防止办法。     

Statistical modification analysis of helical planetary gears based on response surface method and Monte Carlo simulation

Tooth modification technique is widely used in gear industry to improve the meshing performance of gearings. However, few of the present studies on tooth modification considers the influence of inevitable random errors on gear modification effects. In order to investigate the uncertainties of tooth modification amount variations on system's dynamic behaviors of a helical planetary gears, an analytical dynamic model including tooth modification parameters is proposed to carry out a deterministic analysis on the dynamics of a helical planetary gear. The dynamic meshing forces as well as the dynamic transmission errors of the sun-planet 1 gear pair with and without tooth modifications are computed and compared to show the effectiveness of tooth modifications on gear dynamics enhancement. By using response surface method, a fitted regression model for the dynamic transmission error(DTE) fluctuations is established to quantify the relationship between modification amounts and DTE fluctuations. By shifting the inevitable random errors arousing from manufacturing and installing process to tooth modification amount variations, a statistical tooth modification model is developed and a methodology combining Monte Carlo simulation and response surface method is presented for uncertainty analysis of tooth modifications. The uncertainly analysis reveals that the system's dynamic behaviors do not obey the normal distribution rule even though the design variables are normally distributed. In addition, a deterministic modification amount will not definitely achieve an optimal result for both static and dynamic transmission error fluctuation reduction simultaneously.