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1.
分别建立了啮合齿轮子系统弯扭耦合振动模型、弹性轴子系统的弯曲振动和扭转振动模型以及齿轮箱弹性箱板子系统的横向振动模型,通过轴承多维刚度矩阵和子结构之间的受力变形协调关系将各子结构的振动模型联立起来,从而得到整个齿轮箱耦合系统的动力学模型。结合相图和庞加莱映射图分析了系统的运动特性,采用功率流方法研究了系统振动能量传递特性及其影响因素,揭示了外部激励和轴承刚度等因素对系统特性的影响,为齿轮箱系统的振动控制与结构设计提供了新的分析方法和理论依据。  相似文献   

2.
从振动噪声传递的经典模型(即振源-路径-接受体)出发,分别对轴、轴承、箱体建立模型,进行动力学分析,其中把轴看作受到广义力作用下的空间梁,应用传递矩阵法推导其导纳矩阵;轴承采用Lim模型,箱体看作一个刚体模型。采用子结构导纳方法,推导了传递到子系统的功率流表达式,研究不同阻尼比对传递到箱体和系统的功率流的影响,为进一步研究齿轮箱类结构振动特性奠定分析基础。  相似文献   

3.
为探究动载荷作用下变位齿轮系统的热弹流润滑特性,综合考虑齿轮变位和时变啮合刚度的影响,基于动力学理论,建立了齿轮的六自由度摩擦动力学模型,分析振动与静载荷作用下变位齿轮系统的热弹流润滑特性. 研究表明:与其他传动类型相比,正传动齿轮系统的润滑效果最佳,轮齿间可以形成较厚的润滑油膜,轮齿间的摩擦系数、油膜的最高温升最小,并且,随着两齿轮变位系数和的增大,润滑状况不断得到改善,热胶合承载能力增强;变位系数增加使齿轮系统的刚度增大,但同时降低了油膜的刚度.   相似文献   

4.
齿轮精密锻造三维有限元分析   总被引:1,自引:0,他引:1  
开发了齿轮精密锻造三维有限元分析软件系统 ,采用三维弹塑性大变形有限元分析方法 ,分析了精密锻造过程的力学响应 ,获得上模、精锻齿轮和下模应力与变形的详尽信息。  相似文献   

5.
研究了推力轴承对轴承-转子系统的耦合作用。在传递矩阵法的基础上,提出一种研究考虑推力轴承影响的轴承-转子系统的动力学的通用方法。研究中考虑了如下几个因素:(1)推力盘的静态倾斜;(2)转子的静变形;(3)径向轴承中负荷的重新分配;(4)偏载对径向轴承性能的影响;(5)推力轴承对系统稳定性的影响。研究结果表明,在某些情况下,推力轴承对径向轴承的动特性、转子的静挠度、系统稳定性等具有显著的影响  相似文献   

6.
液固混合介质隔振器基于一种全新的工作机理,具有优良的隔振系统动力学特性. 混合介质由一类几乎不可压缩液体和许多可压缩的固体单元混合而成. 当振动、冲击发生时, 液体将动压力瞬间传递到所有单元体上, 使它们同时参与变形,从而有效隔离振动,大幅度吸收、损耗冲击能量; 若设计得当,这类隔振器可同时具有卓越的隔振和缓冲性能. 以空心橡胶球作为固体单元体, 分析了该单元体在有限变形情况下的变形规律, 分析了隔振器的非线性刚度特性; 采用MTS液压伺服试验系统进行了测试验证, 理论分析和试验结果具有较好的一致性. 建立了系统的非线性动力学方程, 采用多尺度摄动法获得了系统的频响特性, 发现系统具有软弹簧非线性动力学特性, 并在试验中得到了证实; 因为弹性恢复力中存在位移平方项, 通过试验和数值仿真进一步验证了系统响应的非对称性.  相似文献   

7.
莫帅  曾彦钧  王震  张伟 《力学学报》2023,(10):2381-2392
人字齿轮承载能力强,重合度大,可靠性高,多于高速、重载工况下使用.探究高速重载人字齿轮传动系统非线性动力学特性,可为其设计提供参考.首先,计算齿轮副时变啮合刚度;引入齿侧间隙、间隙非线性函数和综合传动误差,计算时变啮合力;引入轴承游隙,计算轴承受力.随后,建立高速重载人字齿轮传动系统非线性动力学方程,使用4阶Runge-Kutta法对方程求解.最后,探究不同因素对系统动态响应影响.保持系统其他参数不变,分别改变输入转矩、啮合阻尼、齿侧间隙、啮合刚度及激励频率,绘制系统时间-位移图像、时间-速度图像、空间相图、空间频谱图及分岔图,观察系统非线性动力学响应变化趋势,判别系统运动状态.结果表明:在一定范围内,系统稳定性与啮合阻尼、啮合刚度呈正相关关系,与齿侧间隙、输入转矩呈负相关关系;逐渐增大外部激励频率时,系统运动从单周期运动逐渐变为混沌运动,随后又回归单周期运动.为保证系统平稳运行,应合理选取外部激励频率.  相似文献   

8.
朱小平  冯奇 《力学季刊》2007,28(4):653-660
舰船推进轴系是舰船动力装置的重要组成部分,它的稳定性是舰船生命力的基本保证.本文以舰船主推进轴系为研究对象,考虑了非线性油膜力的作用,在推进轴的非线性油膜力模型中,考虑了油膜涡动效应和挤压效应以及多个轴承油膜力的耦合影响,并考虑了轴承结构本身的刚度.文中采用弹性体动力学方法对推进轴建模,考虑了在外冲击作用下转速和轴承油膜力对于转轴冲击响应的影响,考虑横向运动与转动耦合作用,导出以非线性偏微分方程描述的舰船主推进轴的动力学方程,并用经典理论对其进行离散,最后采用龙格-库塔法进行数值仿真.实例分析指出转速对于转轴冲击响应的影响不可忽略.  相似文献   

9.
张康宇  路宽  程晖  傅超  郭栋 《力学学报》2023,(10):2274-2287
文章以自主水下航行器(AUV)振动噪声抑制及其隐秘性提高为研究背景,提出了一种含有轴承非线性的AUV振动-声学模型,并通过寻找共振转换器(RC)最佳设计参数使壳体产生的振动声辐射功率级最小,达到反共振的目的.首先通过Lagrange法建立了含有浆-轴-壳的双梁系统有限元模型,基于赫兹接触理论加入轴承非线性因素,然后根据声传播原理推出了声偶极子辐射场模型;然后,采用Runge-Kutta法求解了系统振动响应,通过时域响应、频谱、分岔和幅频响应图等后处理信号分析了系统的动力学特征;最后,以壳体声功率级作为代价函数并根据响应分析结果,对RC进行参数设计.通过对比非线性轴承和线性弹簧两种支撑,发现AUV在非线性轴承支撑下壳体振动辐射声功率级主体趋势是沿着线性结果分布的,同时均高于线性弹簧支撑下的系统噪声,并且在对应共振区域达到峰值;同时结果显示RC装置能够大幅度降低系统共振响应幅值及振动辐射声功率级,尤其在共振频率设计点处减振降噪效果最为显著,在共振频率设计点处频率没有发生偏移,但在其他个别区间内,除了最大共振幅值降低明显之外,共振频率产生一定的偏移.文章的理论模型揭示了AUV动力学响应特征及...  相似文献   

10.
为了研究双联行星齿轮在实际设计参数下,其相对角度偏差对复合行星传动系统动力学特性的影响,采用集中参数法建立了3K-I型行星齿轮动力学模型,模型中将双联行星齿轮的相对角度偏差转化为啮合副齿侧间隙的变化,考虑了双联齿轮角度偏差、轮齿侧隙和时变啮合刚度等非线性因素,采用龙格库塔法求解了系统的时域响应并计算其均载系数。分析了不同工况、偏差下系统的动态特性。结果表明,存在双联行星轮角度偏差时,轻载下更容易发生齿轮的脱齿与冲击,系统的均载系数随着双联行星轮角度偏差差值及系统的负载降低而增大,各组行星轮角度偏差分布越集中,角度偏差对系统均载特性的影响越小;角度偏差分布同号时,对系统中某一对齿轮的承载影响明显;角度偏差分布异号时,对系统均载特性的影响最大。  相似文献   

11.
桥梁、隧道、舰船等大型结构变形的全场、高精度、动态测量,是其动态性能实验和质量监测的基本要求。摄像测量具有非接触、高精度、可测点多、实时动态测量等特点,在大型结构的变形监测方面有独特的优势。本文介绍了作者所在科研团队近年来利用摄像测量技术在大型结构变形监测方面的研究新成果和典型应用,包括提出位移传递像机串联网络摄像测量方法与技术,用于自动监测高速铁路、隧道等大型结构的路基沉降;研制天线基座变形摄像测量系统,实时、连续、长时间测量我国远望号测量船的天线基座变形等。  相似文献   

12.
Zhang  Duzhou  Wu  Dengyun  Han  Qinkai  Wang  Hong 《Nonlinear dynamics》2021,103(3):2273-2286

The dynamic force transmissibility (DFT) of aerospace flywheel rotor system (FRS) supported by angular contact ball bearings (ACBBs) is examined in this paper. The influence of combined loads and contact angle variation is considered in the Sjovall formula to accurately solve the load distribution and nonlinear stiffness of ACBB. Subsequently, the lateral vibration model of FRS is established by considering the nonlinear stiffness characteristics of ACBB. The DFT of the system is solved via harmonic balance method and arc length continuation, and the stability of the results is determined. Numerical integration and dynamic tests are utilized to verify the accuracy of harmonic balance results. Based on the proposed model, the effects of rotor unbalance excitation, axial preload, and rotor damping on the DFT of the system are discussed. The soft-stiff transition phenomenon is observed in terms of the varying supporting stiffness of ACBB wherein deformation is measured under axial preload. The value of rotor unbalanced mass determines the nonlinear characteristics of FRS. The results provide an important reference for dynamic performance evaluation and vibration isolation device design of aerospace FRS.

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13.
This study is focused on dynamic modeling of planar multibody systems with multiple deep groove ball bearing joints, in which the radial clearance, contact deformation, and bearing kinematics are included. By using the approach presented, the variation of the joint reaction force and the dynamic load on each ball element in bearings can be simulated. The deep groove ball bearing joints are modeled by introducing a nonlinear force system, which takes into account the contact elastic deformations between the ball elements and the raceways. The contact force is calculated by the Hertzian contact deformation theory that accounts for the geometrical and material properties of the contacting bodies. A planar slider-crank mechanism with two deep groove ball bearing joints is chosen as an example to demonstrate the application of the methodologies presented in this paper. In this model, one bearing locates at the joint between the ground and crank, while the other one locates at the joint between the crank and connecting rod. By numerical calculation, the dynamic load distribution characteristics of bearings under real mechanism movement conditions are simulated. From the results, it can be concluded that the dynamic load on each rolling element varies differently and belongs to a variable load with the change of mechanism configuration. Load characteristic analysis is the foundation of developing research on the fatigue life and reliability of bearings. This study will provide a key mechanical support for the performance evaluation, dynamic design, and geometrical parameter optimization of the joint rolling element bearings.  相似文献   

14.
This research studies the effects of axial preload on nonlinear dynamic characteristics of a flexible rotor supported by angular contact ball bearings. A dynamic model of ball bearings is improved for modeling a five-degree-of-freedom rotor bearing system. The predicted results are in good agreement with prior experimental data, thus validating the proposed model. With or without considering unbalanced forces, the Floquet theory is employed to investigate the bifurcation and stability of system periodic solution. With the aid of Poincarè maps and frequency response, the unstable motion of system is analyzed in detail. Results show that the effects of axial preload applied to ball bearings on system dynamic characteristics are significant. The unstable periodic solution of a balanced rotor bearing system can be avoided when the applied axial preload is sufficient. The bifurcation margins of an unbalanced rotor bearing system enhance markedly as the axial preload increases and relates to system resonance speed.  相似文献   

15.
根据飞机空中试验用转顶基座及金属支架结构静力试验技术需求,研制了一套试验系统,解决了转顶基座及金属支架结构支持模拟、加载边界模拟等关键问题。对载荷进行等效处理,设计加载假件,采用载荷偏移与力偶施加相结合的方法施加力矩,分别完成了五级风载荷下4种工况的设计载荷试验和极限载荷试验,以及八级风载荷下其中第4工况的极限载荷试验。考核了结构的危险部位应力值及结构安全余量。试验结果表明,该试验系统工作稳定可靠,转顶基座及金属支架在设计载荷试验工况下未发生有害塑性变形,其强度、刚度满足设计要求。上述试验结果可作为该结构强度、刚度性能的评定依据,同时为后续结构研究的有限元建模提供数据支持。  相似文献   

16.
A new nonlinear force model based on experimental data is proposed to replace the classical Hertzian contact model to solve the fractional index nonlinearity in a ball bearing system. Firstly, the radial force and the radial deformation are measured by statics experiments, and the data are fitted respectively by using the Hertzian contact model and the cubic polynomial model. Then, the two models are compared with the approximation formula appearing in Aeroengine Design Manual. In consequence, the two models are equivalent in an allowable deformation range. After that, the relationship of contact force and contact deformation for single rolling element between the races is calculated based on statics equilibrium to obtain the two kinds of nonlinear dynamic models in a rigid-rotor ball bearing system. Finally, the displacement response and frequency spectrum for the two system models are compared quantitatively at different rotational speeds, and then the structures of frequency-amplitude curves over a wide speed range are compared qualitatively under different levels of radial clearance, amplitude of excitation, and mass of supporting rotor. The results demonstrate that the cubic polynomial model can take place of the Hertzian contact model in a range of deformation.  相似文献   

17.
Gu  Jianguo  Zhang  Yimin  Liu  Haiyang 《Meccanica》2019,54(7):945-965

Wear between balls and races has significant effects on the dynamic characteristics of bearing, which is the main reason to cause bearing failure. Some existing contact stiffness models were established to study the dynamic characteristics of bearing. However, the wear of bearing has been rarely investigated due to the complexities of contact load and wear mechanism. This paper presents a new dynamic wear simulation model of angular contact ball bearings mounted in pairs to solve this problem. A final contact stiffness model is established based on the wear model. The effects of running distance, horizontal load, preload, initial contact angle, number and diameter of balls on wear performances are analyzed. A generalized time-varying and piecewise-nonlinear dynamic model of angular contact ball bearings is established to perform an accurate investigation on its dynamic characteristics, especially considering the coupling effects of wear and rolling contact. The effects of wear on the contact stiffness and nonlinear dynamic characteristics are analyzed according to the dynamic model. Additionally, the variations of the contact stiffnesses and frequency responses with different preloads are discussed and the results indicate that parameter selection has significant effects on the wear and nonlinear response.

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18.
A C 0 continuity isoparametricfinite-element formulation is presented for the dynamic analysis of arotating or nonrotating beam with or without nonlinear boundaryconditions subject to a moving load. The nonlinear end conditions arisefrom nonlinear rolling bearings (both the nonlinear stiffness andclearance(s) are accounted for) supporting a rotating shaft. The shaftfinite-element model includes shear deformation, rotary inertia, elasticbending, and gyroscopic effect. Lagrange's equations are employed toderive system equations of motion which, in turn, are decoupled usingmodal analysis expressed in the normal coordinate representation. Theanalyses are implemented in the finite-element program DAMRO 1.Dynamic deflections under the moving load of rotating and nonrotatingsimply supported shafts are compared with those obtained using exactsolutions and other published methods and a typical coincidence isobtained. Samples of the results, in both the time and frequencydomains, of a rotating shaft incorporating ball bearings are presentedfor different values of the bearing clearance. And the results show thatsystems incorporating ball bearings with tight (zero) clearance have thesmallest amplitude-smoothest profile dynamic deflections. Moreover, fora system with bearing clearance, the vibration spectra of the shaftresponse under a moving load show modulation of the system naturalfrequencies by a combination of shaft rotational and bearing cagefrequencies. However, for a simply supported rotating shaft, the firstnatural frequency in bending dominates the response spectrum. The paperpresents the first finite-element formulation for the dynamic analysisof a rotating shaft with or without nonlinear boundary conditions underthe action of a moving load.  相似文献   

19.
张顶立 《力学学报》2017,49(1):3-21
作为隧道及地下工程学科的3个基本问题,隧道围岩稳定性、支护--围岩相互作用和结构体系的动力响应一直都是本学科研究的核心问题,本文围绕上述问题重点分析了隧道围岩力学特性及其载荷效应,建立了深浅层围岩结构力学模型,并通过分析深层围岩中结构层稳定性得到了围岩特性曲线的解析公式,提出了围岩结构性特点及载荷效应的计算方法;通过对隧道支护与围岩作用关系的分析,将支护与围岩的动态作用分为4个阶段:即自由变形、超前支护、初期支护和二次衬砌阶段.由此提出了动态作用全过程的描述方法;基于广义与狭义载荷的理念,提出隧道支护具有调动和协助围岩承载基本功能的观点,明确了两种功能的实现方式,即通过围岩加固、超前加固及锚杆支护实现调动围岩承载,通过支护结构协助围岩承载;针对复杂的隧道支护结构体系,提出了多目标、分阶段协同作用动态优化概念,可使各种支护结构的施作实现时间和空间上的协调,提高可靠性;针对极不稳定的复杂隧道围岩的安全性特点,建立了3种模式的安全事故机理模型,基于工程响应特点提出了安全性分级的新理念,并形成了分级指标体系和分级方法;针对水下隧道及富水围岩条件,建立了3种模式的隧道突涌水机理模型,提出了基于围岩变形控制的安全性控制理论和方法.最后,对本学科发展的热点和核心问题进行了分析和展望.  相似文献   

20.
Goudas  I.  Stavrakis  I.  Natsiavas  S. 《Nonlinear dynamics》2004,35(3):205-227
Transient and steady state dynamic response of a class of slider-crank mechanisms is investigated. Specifically, the class of mechanisms examined involves rigid members but compliant supporting bearings. Moreover, the mechanisms are subjected to non-ideal forcing. Namely, both the driving and the resisting loads are expressed as a function of the angular coordinate describing the crank rotation. First, an appropriate set of equations of motion is derived by applying Lagrange's equations. These equations are strongly nonlinear due to the large rigid body rotation of the crank and the connecting rod, as well as due to the nonlinearities associated with the bearing action and the form of the driving and the resisting loads. Consequently, the dynamics of the resulting dynamical system is examined by solving the equations of motion numerically. More specifically, transient response is captured by direct integration, while determination of complete branches of steady state response is achieved by applying appropriate numerical methodologies. Initially, mechanisms whose crankshaft is supported by bearings with rolling elements and linear stiffness characteristics are examined. Then, numerical results are presented for rolling element bearings with nonlinear stiffness characteristics. Finally, the study is focused on mechanisms supported by hydrodynamic bearings. In all cases, the attention is focused on investigating the influence of the system parameters on its dynamics. Moreover, models with constant crank angular velocity are first analysed, since they provide valuable insight into some aspects of the system dynamics. Eventually, the emphasis is shifted to the general case of non-ideal forcing, originating from the dependence of the driving and the resisting moments on the crankshaft motion.  相似文献   

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