STUDY ON DOUBLE CIRCULAR ARC PROFILE SPIRAL BEVEL GEAR TRANSMISSION

A stepped double arc spiral bevel gear tooth profile is examined. The development ofconjugate tooth surfaee of double are profile spiral bevel gears is described. The design and man-ufacture of the cutter is also discussed. Experimental results show that these gears have high loadcarrying capacity and that they are suitable for heavily loaded transmission. It is asserted thatsuch gears have higher power-to-weight ratios, are longer-lived, and provide more reliable per-formance than ordinary spiral bevel gears.

Tooth surface geometry optimization of spiral bevel and hypoid gears generated by duplex helical method with circular profile blade

In order to effectively improve meshing performance of spiral bevel and hypoid gears generated by the duplex helical method, the effects of straight lined and circular cutting edges profile on meshing and contact of spiral bevel and hypoid gears were investigated analytically. Firstly, a mathematical model of spiral bevel and hypoid gears with circular blade profile was established according to the cutting characteristics of the duplex helical method. Based on a hypoid gear drive, the tooth bearings and the functions of transmission errors of four design cases were analyzed respectively by the use of the tooth contact analysis(TCA), and the contact stresses of the four design cases were analyzed and compared using simulation software. Finally, the curvature radius of the circular profile blade was optimized. The results show that the contact stresses are availably reduced, and the areas of edge contact and severe contact stresses can be avoided by selecting appropriate circular blade profile. In addition, the convex and concave sides are separately modified by the use of different curvature radii of inside and outside blades, which can increase the flexibility of the duplex helical method.

Mathematic model and tooth contact analysis of a new spiral non-circular bevel gear

A novel spiral non-circular bevel gear that could be applied to variable-speed driving in intersecting axes was proposed by combining the design principles of non-circular bevel gears and the manufacturing principles of face-milling spiral bevel gears.Unlike straight non-circular bevel gears,spiral non-circular bevel gears have numerous advantages,such as a high contact ratio,high intensity,good dynamic performance,and an adjustable contact region.In addition,while manufacturing straight non-circular bevel gears is difficult,spiral non-circular bevel gears can be efficiently and precisely fabricated with a 6-axis bevel gear cutting machine.First,the generating principles of spiral non-circular bevel gears were introduced.Next,a mathematical model,including a generating tooth profile,tooth spiral,pressure angle,and generated tooth profile for this gear type was established.Then the precision of the model was verified by a tooth contact analysis using FEA,and the contact patterns and stress distributions of the spiral non-circular bevel gears were investigated.

EFFECT OF GEAR WIDTH AND HELIX ANGLE ON FACTOR OF DYNAMIC LOAD OF DOUBLE CIRCULAR ARC HELICAL GEARING

Based on theory of mechanical dynamics, meshing characteristic as well as thedynamic model of double circular arc helical gearing, an analysis approach and a computer programhave been developed for studying the state of dynamic load and factor of dynamic load of thegearing, the changing situation of dynamic load and dynamic load factor vs some affecting factorssuch as gear width, helix angle and accuracy grade etc are investigated. A series of conclusions areobtained: ①With the increasing in the values of gear width, the dynamic load factor appears slowdecreasing tendency in most region of gear width. ②When the accuracy grades of the gearing areimproved, the values of dynamic load factor decrease. ③The value of dynamic load factor appears adecreasing tendency with the increasing of value of helix angle at the same ratio of criticalrotational speed.

Experimental Investigation of the Deformation of Helical Gears with Double－Circular－Arc Tooth Profile Using Linear Variable Differential Transformer

A small hole of 0.9mm in diameter is drilled at the theoretical contact point of the convex tooth flank of the measured gear, and the hole leads throughout to the non-working flank. A stylus glued to the core of transformer is put into the hole, and the stylus can freely contact with the meshed concave tooth flank. The transformer is installed on the body of gear to be measured. Rotate the positioning worm slowly after loading, and locate the contact point at the hole of convex tooth flank, the displacement value measured is considered as the deformation of convex tooth. The deformations at the middle and the two ends of tooth breadth for the helical gears with double-circular-cra tooth profile whose modules are 3mm and 4mm respectively are measured in the paper.

Mathematical modeling and characteristics analysis for the nutation gear drive based on error parameters

We focused on the mathematical modeling and characteristics analysis for the nutation drive based on error parameters. The crown gear tooth profile equation was introduced according to the national standard double circular arc tooth profile and based on the equal tooth strength principle. The nutation drive meshing coordinate system was set up by introducing the cone vertex error, tilt error, nutation angle error and spiral angle error. The tooth profile equations of the double circular arc external and internal spiral bevel gears were further obtained based on the crown gear tooth profile equation concerning above mentioned error parameters. The influences of the nutation gear reducer tooth contact conditions were analyzed with the gear tilt error and axial misalignment error. Finally, the correctness of the theoretical analysis was verified by the contact spot test.

安装误差对双圆弧齿轮啮合特性影响分析

为深入研究安装误差对双圆弧齿轮副啮合特性的影响,基于有限元法建立齿轮加载分析模型,研究啮合过程中单齿凸、凹齿廓的接触性能,对比分析安装误差对接触性能以及传动误差的影响规律。结果表明:啮合周期内,双圆弧齿轮的凹齿廓先接触且承担较大的法向接触力,但凸齿廓的啮入端接触应力最大,凸、凹齿面接触压力差与转矩成正比;安装误差对齿面接触性能影响较大,其中中心距误差容易引起齿轮分阶处应力集中,轴线平面的安装误差会引起齿面接触偏载,且对安装误差影响最大。

双圆弧齿廓椭圆齿轮建模与运动学仿真

为了满足齿轮变传动比运动、提高轮齿承载能力,结合齿轮啮合理论和双圆弧齿廓曲线结构参数特征,提出了一种新型双圆弧齿廓椭圆齿轮。阐述了其节曲线的设计方法,利用SolidWorks软件建立了双圆弧齿廓椭圆齿轮三维模型;使用Adams软件对双圆弧齿廓椭圆齿轮副模型进行了运动学仿真,分析了不同偏心率对双圆弧椭圆齿轮副传动比变化规律的影响,并对比理论传动比曲线,分析了仿真传动比曲线存在波动误差的影响因素;为了减小齿轮副振动脉冲,给出了偏心率适当的取值范围。本文的设计方法和分析结果对双圆弧齿廓非圆齿轮的参数化设计有理论参考价值,可为双圆弧齿廓椭圆齿轮副数控加工制造及应用提供依据。

双圆弧内齿轮车齿切削仿真及试验研究

针对目前双圆弧内齿轮加工难、精度差、效率低的问题,提出了一种采用车齿工艺加工双圆弧内齿轮的方法。根据车齿加工原理,梳理了刀具与工件的相对位置,建立了双圆弧内齿轮车齿加工数学模型;运用Vericut进行双圆弧齿形的成型仿真,验证了车齿加工内齿轮的可行性与准确性;利用Abaqus对车齿过程中的切削力进行仿真计算,获得了加工参数对切削力的影响规律;使用六轴数控机床完成了双圆弧内齿轮的车齿加工,螺旋线精度检测结果符合设计要求。上述研究结果拓展了双圆弧齿轮的加工工艺,提升了内齿轮加工精度和效率,为后期双圆弧内啮合及行星传动奠定了基础。

双圆弧齿轮泵不同工况下流量特性分析

为分析不同工况下的双圆弧齿轮泵流量特性,使用AMESim软件对双圆弧齿轮泵进行精确建模,设定不同转速、负载压力和气体质量分数并分析其瞬时出口流量和出口流量脉动率。结果表明:转速与瞬时出口流量呈正相关,转速为3000 r/min时的平均出口流量是转速为1500 r/min时平均出口流量的2.17倍;负载压力与瞬时出口流量呈负相关,负载压力为6 MPa时的平均出口流量较负载压力为2 MPa时平均出口流量减小0.621 L/min;在转速为3000 r/min、负载压力为2 MPa时,出口流量脉动率最小;出口流量脉动率与转速呈负相关,与负载压力呈正相关。油液的气体质量分数增大会加剧双圆弧齿轮泵空化现象,对流量特性造成不利影响。

新型无困油齿轮泵齿轮副型线优化与工作过程模拟

齿轮泵齿轮副的型线对齿轮泵性能影响极大。传统的渐开线型齿轮泵齿轮存在困油现象,产生局部高压,对其运行产生极大的危害。通过型线设计,来解决齿轮泵困油现象。基于曲线啮合理论,采用圆弧和高次曲线,构建一种新型双圆弧-高次曲线齿轮副,消除了齿轮泵的困油现象。进而,建立其几何模型并推导出型线方程,通过数值模拟,分析新型无困油齿轮泵的流场变化规律,并与现有齿轮泵进行对比。结果表明:新型齿轮泵消除了困油现象,型线组成简单,便于优化设计;此外,新型齿轮泵的工作性能更佳,流场更均匀。

双圆弧弧齿锥齿轮章动传动啮合齿轮本体温度的相关影响因素分析

啮合温度影响双圆弧弧齿锥齿轮章动传动过程中的疲劳、振动、噪声等行为,在双圆弧弧齿锥齿轮的寿命预测和力学响应时不可忽视。为了揭示双圆弧弧齿锥齿轮章动传动本体温度场分布规律,对双圆弧弧齿锥齿轮进行齿面接触分析,得到啮合区间;结合摩擦学和传热学得到齿轮的热载荷,建立了双圆弧弧齿锥齿轮温度有限元数值模型;采用控制变量法,分析了相关影响因素对锥齿轮温度的影响规律及原因。结果表明,齿轮温度随模数的增大而降低,随螺旋角的增大而升高,随章动角的增大先降低再升高;润滑油温度对本体温度的影响呈线性关系。研究为降低齿轮高温失效风险提供了参考。

非圆行星齿轮马达设计与排量分析

非圆行星齿轮马达具有容积效率高、密封性良好、传递扭矩大等优势,可应用于井下机械和食品机械等领域。根据几何关系推导圆弧-圆弧型(双圆弧型)节曲线参数所需满足的弧长条件、传动条件与约束条件,建立并求解内齿圈与太阳轮节曲线非线性规划模型。在分析非圆行星齿轮马达进排液规律的基础上,确定不同太阳轮旋转角度下各容腔进排液的周期变化规律。通过面积拟合法与图解法求解马达最大与最小容腔面积,确定马达理论排量。非圆行星齿轮马达试验测试结果表明,试验法与理论计算法确定的马达实际流量随转速变化的趋势基本一致,最大误差仅为9.57%,验证了双圆弧型节曲线马达理论排量模型的正确性,可为进一步探索非圆行星齿轮马达优化设计提供参考。

斜航式法向圆弧螺旋锥齿轮传动原理研究

针对目前常用的弧齿锥齿轮存在的工艺复杂等因素,提出一种新的锥齿轮传动原理——斜航式法向圆弧锥齿轮传动,其齿廓面为节锥面上斜航曲线的法向等距线.其最大的优点是便于在数控机床上加工.推导了节锥面斜航线方程,并给出了相关性质.讨论了其几何参数设计方法和加工工艺,并用实验验证了原理的正确性和工艺的可行性.

双圆弧齿轮的有限元综合分析方法

介绍并推导双圆弧齿轮在安装误差影响下接触迹间载荷分配的计算公式和方法。采用有限元软件ANSYS的内嵌语言编制相应的计算程序,实现双圆弧齿轮接触计算有限元模型的自动生成。利用自由度耦合方法实现轮齿的真实转动。计算特定工况下接触应力和弯曲应力的分布,通过比较验证文中计算方法的可行性。

双圆弧弧齿锥齿轮技术的研究现状

概述近年来弧齿锥齿轮设计与啮合理论、轮齿接触分析、动力学等方面取得的进展,对双圆弧弧齿锥齿轮研究现状进行了综述,并对今后的研究作了展望。

双圆弧斜齿齿轮泵脉动特性分析及齿形设计

针对普通渐开线齿轮泵流量脉动大、噪声大以及困油现象等问题,设计出一种以双圆弧斜齿轮为运动副的齿轮泵。对比分析啮合特性,得出双圆弧斜齿轮传动的优越性。以正弦曲线为过渡曲线,利用啮合共轭原理求解出双圆弧斜齿轮端面齿廓方程。采用等面积法求解了双圆弧斜齿齿轮泵的最大和最小瞬时排量,得出理论脉动趋于零的结论。利用FLUENT三维动网格技术,对比分析齿轮参数相同的双圆弧斜齿轮泵和渐开线斜齿轮泵的流量脉动,得出前者的流量脉动远小于后者的结论。

双圆弧齿轮的精确建模与动态接触分析

基于SolidWorks操作平台介绍了双圆弧齿轮的三维精确建模的方法,并可以使用VBA语言对其端面齿廓参数化,建立的三维模型导入到Ansys/LS-DYNA中,运用其显式非线性动力分析程序,对其进行动态接触分析,对双圆弧齿轮的设计计算具有一定的参考意义。

双圆弧弧齿锥齿轮的实体建模方法及加工过程模拟

以双圆弧弧齿锥齿轮的加工原理为基础 ,借助绘图软件AutoCAD这一工具 。

双圆弧弧齿锥齿轮的精确建模及其弯曲强度的有限元分析

利用切齿啮合过程中得到的实际包络的双圆弧弧齿锥齿轮齿面方程,通过三维CAD软件绘制了双圆弧弧齿锥齿轮的实际加工齿面,进而通过此曲面得到了实际加工后的双圆弧弧齿锥齿轮轮齿的三维实体模型。利用CAD软件与有限元分析软件的接口,将所建立轮齿的实体模型导入有限元分析软件,对其进行网格划分。最后对得到的有限元模型施加三组载荷,进行了双圆弧弧齿锥齿轮齿根弯曲应力的有限元分析计算。