变风速运行控制下风电传动系统的动态特性

基于齿轮系统动力学的方法对风电传动系统进行研究。运用基于自回归模型的线性滤波法(Auto-regressive,AR)建立的风速模型对实际风场的随机风速进行模拟;根据风力发电机在实际情况中的运行控制策略获得风力发电机齿轮传动系统的时变输入转矩激励;综合考虑风力发电机齿轮传动系统中各个齿轮副的时变啮合刚度、各个滚动轴承的刚度、各个轮齿综合啮合误差等内部激励,采用集中参数质量法建立风力发电机齿轮传动系统的耦合动力学模型;在此基础上建立风力发电机齿轮传动系统的动力学微分方程并进行仿真计算,分别求解风力发电机齿轮传动系统的固有频率、振动响应、动态啮合力和滚动轴承动态轴承力。研究结果为风力发电机传动系统的动态性能优化设计和可靠性设计奠定了基础。     

齿轮传动动态系统辨识及修形研究

利用自动控制理论研究实际工况下齿轮传动的动态性能, 通过系统辨识算法, 建立了直齿圆柱齿轮传动周向振动和噪声之间的差分方程模型, 此模型能够准确描述齿轮传动系统的动态特性。根据齿轮传动周向振动和轮齿变形之间对应关系, 对降低齿轮传动噪声的齿廓修形曲线进行了优化设计, 并进行了试验验证。为齿轮传动系统的修形、减振、降噪和优化设计提供了一种新的研究方法。     

含误差的直齿轮的齿廓修形

依据齿轮传动载荷与轮齿变形的关系,推导出定载荷条件下,修形直齿轮静态传动误差与齿对综合修形参数的关系表达式。提出含制造误差修形齿轮修形参数的确定原则:理论设计修形齿轮的最大综合修形量应能消除含误差齿廓轮齿在啮入和啮出位置产生的几何干涉,理论设计修形齿轮的静态传动误差应保持最小的变化。给出了合制造误差修形直齿轮修形参数的计算公式,阐述了相应的确定方法。系统动态响应计算表明该方法所获得的修形齿轮具有良好的减振效果。     

汽车变速箱齿轮系统噪声计算方法的研究

针对汽车变速箱齿轮系统工作时的噪声问题,提出了一种定量计算变速箱齿轮系统噪声的方法,求解了该系统的振动方程,并利用Kato方程量化了变速箱齿轮系统的噪声主要来源,重点研究了在不同声源辐射模型下变速箱齿轮系统噪声的声功率大小。试验证明,该方法可较准确地对变速箱齿轮系统所产生振动噪声进行定量计算,为变速箱齿轮系统的降噪及优化设计提供了依据。     

RV减速器传动系统动力学特性分析

为深入研究工业机器人用RV减速器动力学特性,采用集中参数法,综合考虑啮合阻尼、时变啮合刚度以及综合啮合误差,建立了RV传动耦合扭转动力学模型,通过数值解法对建立的动力学方程进行求解,得到其振动位移、振动角速度响应及各齿轮副动态啮合力。基于UG与ADAMS建立RV减速器动力学模型,进行仿真分析实验,验证动力学模型的正确性。通过改变啮合刚度分析了啮合力的变化,随着啮合刚度的增加,在一定范围内,传动过程中的啮合力更加稳定,为RV减速器的故障诊断和优化设计奠定基础。     

随机内外激励对齿轮系统动态特性的影响分析

考虑时变啮合刚度、齿侧间隙等因素的影响,建立了单对齿轮系统纯扭转非线性动力学模型。将齿轮综合传递误差波动和外部载荷作为随机变量,利用数值仿真方法对系统模型进行了求解,通过统计分析得到了系统各响应量和动态啮合力的统计特征。结果表明:外部激励的随机性对齿轮系统振幅和动态啮合力的影响比综合传递误差波动随机时明显;综合传递误差及外部激励随机波动离散程度的增加会导致系统振幅和动态啮合力不稳定性加剧。     

齿轮传动振动噪声计算的Kato方法

建立了齿轮传动的时变动力学模型，分析了啮合刚度，传动误差对振动响应的影响，在此基础上，将齿轮传动啮合分成单齿啮合区，采用Kato方法对振动产生的噪声进行了定量计算，得出了双齿啮合区内辐射噪声大于单齿啮合区，并给出了每一啮合时刻辐射噪声大小，研究表明该方法可以较好地对齿轮振动所产生的噪声进行定量计算，为齿轮系统的降噪设计奠定了基础。     

考虑磨损与变形的谐波齿轮精度可靠性分析与优化设计

针对谐波齿轮减速器中存在的磨损和变形因素导致减速器传动精度低、可靠性差等问题,建立考虑磨损与变形的谐波齿轮减速器传动误差模型,并进行精度可靠性分析与优化设计。通过分析传动误差的影响因素建立了传动误差模型;基于磨损经验模型和试验数据,应用贝叶斯修正方法建立动态磨损模型,同时根据试验数据和高斯过程回归建立柔轮变形模型;综合获得的传动误差模型、磨损模型和柔轮变形模型建立谐波齿轮精度可靠性模型,并应用基于拉丁超立方抽样的Kriging代理模型和蒙特卡洛法求解某谐波齿轮减速器传动精度可靠度。最后采用序列二次规划法对谐波齿轮减速器进行优化设计。优化结果表明,在工况参数(输出端负载17.5 N·m,输入端转速100 r/min)下,优化后的谐波齿轮减速器在工作时间3 000 h处的可靠度达到99.02%,相比未优化前提升7.85%,而成本却只增加1.70%。     

齿轮修形的优化设计与试验研究

通过对齿轮传动动态性能进行仿真研究,以一对直齿圆柱齿轮传动为例,研究了直线修形、抛物线修形和正弦修形,并优化设计了该齿轮传动取优动态性能时的齿廓修形曲线。通过比较修形齿轮和标准渐开线齿轮实测的振动加速度和噪声,证明了本优化修形设计方法对提高齿轮传动动态性能的突出效用。     

基于刚柔耦合的行星齿轮减速器减振降噪研究

针对某精密行星齿轮减速器的振动噪声问题,通过Romax Designer软件建立刚柔耦合动力学模型;并对减速器箱体进行模态分析,提取箱体的前六阶约束模态振型和固有频率,确定产生噪声的共振频率点;同时分析了齿轮传动误差、齿轮时变啮合刚度等激励的特性。提出通过齿轮修形降低减速器内部动态激励进而减小振动和噪声的方法,并使用LMS Virtual.lab软件对减速器进行声学响应求解。仿真结果表明,优化后减速器的振动和噪声明显降低;最后搭建了行星齿轮减速器试验台,实测噪声与仿真结果基本吻合,验证了该方法的合理性。     

Effects of dynamic transmission errors and vibration stability in helical gears

Transmission error is an important reason for instability in helical gears. A six-degree-of-freedom dynamic model coupled flexional, torsional and axial motion of a helical gear transmission system, which includes time varying mesh stiffness, bearing supporting stiffness, mesh damping and backlash, is developed, after taking into account the dynamic characteristics and vibration responses of helical gear in three dimensions. Influences of involute contact ratio, bearing supporting stiffness, mesh damping and backlash on the dynamic transmission errors and vibration stability of the helical gear system are investigated using numerical simulation technique. The effects on dynamic transmission errors and stabilities by contact ratio, supporting stiffness and mesh damping as well as gear backlash are analyzed. The intrinsic relationship between above parameters and dynamic transmission errors and stabilities for helical gear system are presented. The stable and unstable regions under different parameters are given. The results in this paper can be helpful to the dynamic and stable design of a helical gear transmission system.     

斜齿轮振动噪声分析方法

齿轮啮合传动的不平稳是产生振动噪声的主要原因,需要对齿轮啮合传递的动态过程及其规律进行研究。首先,以自动变速器中一对常啮合斜齿轮为研究对象,分别采用有限元法和切片理论计算斜齿轮的传递误差,用以衡量斜齿轮啮合传动的平稳性。然后,根据齿轮修形的经验公式,确定斜齿轮修形参数的范围。基于切片理论,采用列举法,以降低传递误差波动、改善齿面载荷分布为优化目标,确定最优修形方案。最后,通过分析自动变速器的振动噪声台架实验测试结果,有效地验证了笔者采用的方法及模型的可行性。     

一种研究齿轮传动动态性能的新方法

利用自动控制理论研究实际工况下齿轮传动的动态性能 ,通过系统辨识算法 ,建立了直齿圆柱齿轮传动周向振动和噪声之间的差分方程模型 ,此模型能够准确描述齿轮传动系统的动态特性。为齿轮传动系统的动态性能研究提供了一种新的研究方法     

基于动力学的风电增速箱多级齿轮传动系统可靠性评估

针对风力发电机齿轮传动系统在变风速工况下失效率高的问题,在模拟真实风速的基础上,建立了考虑外部随机风载及内部轮齿时变啮合刚度、轴承时变刚度、综合传递误差等激励因素的风力发电机齿轮传动系统齿轮-轴承耦合动力学模型,通过对动力学模型进行仿真计算,得到了各齿轮副的动态啮合力和各支承轴承的动态接触力,并求得齿轮的使用系数、齿轮和轴承的载荷系数。在此基础上,建立了基于动力学的风电齿轮传动系统可靠性评估模型,并求得了各零件及传动系统的可靠度,较全面地评价了随机风载作用下风力发电机齿轮传动系统的可靠性,为风力发电机齿轮传动系统可靠性设计和动态优化奠定了基础。     

Effects of gear modifications on the dynamic characteristics of wind turbine gearbox considering elastic support of the gearbox

The reliability and service life of wind turbines are directly influenced by the dynamic performance of the gearbox under the time-varying wind loads. The control of vibration behavior is essential for the achievement of a 20-year service life. We developed a rigid-flexible coupled dynamic model for a wind turbine gearbox. The planet carrier, the housing, and the bedplate are modelled as flexibilities while other components are assumed as rigid bodies. The actual three points elastic supporting are considered and a strip based mesh model is used to represent the engagement of the gear pairs. The effects of gear tooth modifications on the dynamics were investigated. Finally, we conducted a dynamic test for the wind turbine gearbox in the wind field. Results showed that the contact characteristics of gear pairs were improved significantly; the peak-to-peak value of transmission error of each gear pair was reduced; the amplitudes of the vibration acceleration and the structural noise of the wind turbine gearbox were lowered after suitable tooth modification.     

Contact finite element method for dynamic meshing characteristics analysis of continuous engaged gear drives

The dynamic meshing characteristics of gear drives have been a major concern in the design of power transmission systems as they affect vibration, acoustic noise, durability and efficiency. Gaining a more comprehensive understanding of the dynamic meshing characteristics of continuous engaged gear drives is a key to the development of power transmission systems. In this paper, a dynamic contact finite element analysis method, considering the variation of the engaged teeth pairs, the loaded elastic and contact deformations, and the sliding friction, is presented for the dynamic meshing characteristics analysis of continuous and elastic engaged gear drives. Various kinds of continuous engaged gear models under low and high speed condition are simulated and compared using the presented method. The tooth profile modification was designed based on the simulation results. Moreover, the effects of the tooth profile modification, the sliding friction and the time-varying meshing stiffness upon the dynamic meshing characteristics of continuous engaged gear drives are discussed in detail. The results show that the method is not only effective in designing and evaluating the tooth profile modification, but also in studying the dynamic meshing characteristics of continuous engaged gear drives with realistic time-varying meshing stiffness and tooth sliding friction. The present method could provide an effective tool for vibration mechanism study and dynamic design of the continuous engaged gear drives considering more influence factors.     

土压平衡盾构减速器三级行星齿轮传动系统动力学特性研究

采用集中质量参数法建立了土压平衡盾构减速器三级行星齿轮传动系统纯扭转动力学模型,模型中考虑了时变啮合刚度、啮合阻尼及传动误差等因素.根据盾构减速器的设计参数,求得了系统的固有频率和振型;使用变步长的Runge - Kutta法求得了传动系统各齿轮的振动位移;计算了各齿轮副的动态啮合力.进行了盾构减速器的振动测试实验,结果表明,理论分析结果与实验数据具有较好的一致性.     

Design optimization of a wind turbine gear transmission based on fatigue reliability sensitivity

Fatigue failure of gear transmission is one of the key factors that restrict the performance and service life of wind turbines. One of the major concerns in gear transmission under random loading conditions is the disregard of dynamic fatigue reliability in conventional design methods. Various issues, such as overweight structure or insufficient fatigue reliability, require continuous improvements in the reliability-based design optimization (RBDO) methodology. In this work, a novel gear transmission optimization model based on dynamic fatigue reliability sensitivity is developed to predict the optimal structural parameters of a wind turbine gear transmission. In the model, the dynamic fatigue reliability of the gear transmission is evaluated based on stress–strength interference theory. Design variables are determined based on the reliability sensitivity and correlation coefficient of the initial design parameters. The optimal structural parameters with the minimum volume are identified using the genetic algorithm in consideration of the dynamic fatigue reliability constraints. Comparison of the initial and optimized structures shows that the volume decreases by 3.58% while ensuring fatigue reliability. This work provides new insights into the RBDO of transmission systems from the perspective of reliability sensitivity.     

考虑强度退化和失效相关性的风电齿轮传动系统动态可靠性分析

针对随机风作用下风力发电机齿轮传动系统失效率高的问题,研究了随机风引起的风力发电机传动系统外部风载荷以及内部由齿轮、轴承刚度及综合啮合误差等引起的内部动载荷激励,基于集中质量法建立了风电齿轮传动系统齿轮-轴承耦合动力学模型。在对模型进行仿真求解的基础上,分别求得了传动系统中各齿轮和轴承的动态接触应力-时间历程。将载荷作用过程视为随机过程,推导出随机载荷作用下的等效载荷累计分布函数,从系统层面上建立了基于应力-强度干涉理论的风力发电机齿轮传动系统动态时变可靠性模型,模型考虑了零件的失效相关性和强度退化因素,研究了失效相关性和强度退化对风电齿轮传动系统可靠度和失效率的影响规律,为风力发电机齿轮传动系统动态设计和可靠性优化设计奠定了基础。     

基于接触有限元的齿轮-转子系统动态特性分析

考虑齿轮-转子系统各部件的弹性,基于接触有限元理论提出一种能够高保真模拟齿轮副连续啮合过程的动态特性分析方法。该方法利用实体有限元进行系统建模,可体现各部件的结构特征;基于接触有限元进行啮合过程仿真,可模拟系统的时变刚度、啮合冲击等真实激励进而得到全面准确的响应信息。以一直齿轮-转子系统为例进行啮合过程的数值仿真,利用中心差分法求得系统各动力学参量在时域上的响应,通过中心距偏差、动态传递误差、动态接触力等参数分析系统的弯曲振动、扭转振动、齿轮副的啮合特性及其耦合关系。研究结果表明：考虑各部件尤其是转子的弹性后,系统的非线性振动特性显著,齿轮副啮合存在明显的双边冲击及脱啮现象。