HIGH-ORDER SELF-EXCITED VIBRATION INDUCED BY DRY FRICTION BETWEEN TWO ELASTIC STRUCTURES——VIBRATION MECHANISM OF THE CHINESE CULTURE RELIC DRAGON WASHBASIN

Combining theoretical and experimental modal analyses on self-excited vibration induced by dry friction between two elastic structures, we can explain the high-order sell-excited vibration phenomenon in which water droplets spurt from fourteen or twelve areas of the Chinese culture relic dragon washbasin when it is rubbed with hands, and clarify the mechanism of the singular high-order self-excited vibration. The experimental modes and the practical measured results are presented for a special dragon washbasin. The theoretical results agree well with the experimental ones.

Self-excited vibration of driveline for vehicle launch

The launch shudder phenomenon induced by self-excited vibration of driveline was stud- ied with a compact car equipped with AMT as research object. The research showed that self-excited vibration was closely related with damping of driveline, the variation of friction coefficient, equiva- lent radius of friction plate and applied force of pressure plate. Six DOFs torsional vibration model of vehicle driveline was established according to the parameters of the certain compact car. The simula- tion was carried out and the result was compared with test data. It was found that the negative slope of friction coefficient with relative slip speed does not necessarily lead to self-excited vibration and the frequency of self-excited vibration on 1st gear is near to the 1st order of torsional natural frequen- cy. The influence of each viscous damping in driveline on self-excited vibration was analyzed by sim- ulation and the results showed that increasing the torsional dampings of half-axles and tires properly was effective to improve launch shudder phenomenon.

Investigation into rail corrugation in high-speed railway tracks from the viewpoint of the frictional self-excited vibration of a wheel–rail system

A finite element vibration model of a multiple wheel-rail system which consists of four wheels, one rail, and a series of sleepers is established to address the problem of rail corrugation in high-speed tracks. In the model, the creep forces between the wheels and rail are considered to be saturated and equal to the normal contact forces times the friction coefficient. The oscillation of the rail is coupled with that of wheels in the action of the saturated creep forces. When the coupling is strong, self- excited oscillation of the wheel-rail system occurs. The self-excited vibration propensity of the model is analyzed using the complex eigenvalue method. Results show that there are strong propensities of unstable self-excited vibrations whose frequencies are less than 1,200 Hz under some conditions. Preventing wheels from slipping on rails is an effective method for suppressing rail corrugation in high-speed tracks.

Torsional self-excited vibration of rolling mill

The roller’s torsional self excited vibration caused by roller stick slip, and its influence on strip surface quality have been studied. Based on analysis of roller working surface stick slip, roller rotation dynamics equations have been established. The nonlinear sliding frictional resistance has been linearized, and dynamics equations have been solved according to the characteristics of stick and slip between roller and strip. The results show that: 1) with decreasing stick time t 1, torsional vibration wave pattern gradually transforms from serration into sinusoid, and frictional self excited vibration can cover all frequency components which are lower than that of free vibration; 2) stick time t 1 is directly proportional to torque increment Δ M R , and is inversely proportional to live shaft stiffness K and drive shaft rotational velocity ω ; 3) when slip time t 2 is basically steady, the longer the stick time, the larger the energy that system absorbs and discharges. As the slip time is a constant, it easily arouses strip surface shear impact and surface streaks.

APPROXIMATE ANALYTICAL SOLUTION OF THE SELF-EXCITED VIBRATION OF PIECEWISE-SMOOTH SYSTEMS INDUCED BY DRY FRICTION——The Vibration Mechanism of the Chinese Cultural Relic Dragon Washbasin

Based on our previous work, a mathematical model of piecewise-smooth systems is established by means of phase-plane orbit analysis, and it is then used to study the intersting phenomena of Chinese cultural relic Dragon Washbasin. The mechanism of nonlinear damping is analyzed; the approximate analytical solution of self-excited vibration of piecewise-smooth nonlinear systems induced by dry friction is derived by means of KB Method, the results of which agree well with that of the numerical solution. Therefore, the method presented in this paper is proved to be very efficient in analyzing the self-excited vibration of piecewise-smooth systems induced by dry friction.

SELF-EXCITED VIBRATION CAUSED BY DRY FRICTION BETWEEN TWO ELASTIC STRUCTURES——Vibration Mechanism of the Chinese Cultural Relic Dragon Washbasin

Based on our previous work([1]), self-excited vibration of a multi-degree-of-freedom system caused by dry friction between two elastic structures is investigated using the Chinese cultural relic dragon washbasin as an example. Some new characteristics of the self-excited vibration in this kind of system are found. The conditions under which self-excited vibration occurs at low-order or high-order modes are discussed. Effects of changes in parameters of the system on the self-excited vibration are analyzed. The vibration mechanism of the water droplets spurting phenomenon of the Chinese cultural relic dragon washbasin is further explained. This investigation presents a new idea for modeling the self-excited vibration caused by dry friction interaction between two elastic structures.

Internal Vibration and Synchronization of Four Coupled Self-Excited Elastic Beams

The vibration behavior and the synchronization between some internal points of four coupled self-excited beams are numerically studied. Coupling through the root of the beams is considered. The transverse displacements of the internal points and the beam tips are monitored, and the power spectra of the resulting time series are employed to determine the oscillation frequencies. The synchronization between beams is analyzed using phase portraits and correlation coefficients. Numerical results show multiple frequencies in the vibration pattern, and complex patterns of synchronization between pairs of beams.

Coupled extension and thickness-twist vibrations of lateral field excited AT-cut quartz plates

In this paper, the coupled extension and thickness- twist vibrations are studied for AT-cut quartz plates under Lateral Field Excitation （LFE） with variations along the x1- direction. Mindlin＇s two-dimensional equations are used for anisotropic crystal plates. Both free and electrically forced vibrations are considered. Important vibration characteristics are obtained, including dispersion relations, frequency spectra, and motional capacitances. It is shown that, to avoid the effects of the couplings between extension and thickness-twist vibrations, a series of discrete values of the length/thickness ratio of the crystal plate need to be excluded. The results are of fundamental significance for the design of LFE resonators and sensors.

Influence of Self-excited Vibrating Cavity Structure on Droplet Diameter Characteristics of Twin-fluid Nozzle

It is a great challenge to find effective atomizing technology for reducing industrial pollution; the twin-fluid atomizing nozzle has drawn great attention in this field recently. Current studies on twin-fluid nozzles mainly focus on droplet breakup and single droplet characteristics. Research relating to the influences of structural parameters on the droplet diameter characteristics in the flow field is scarcely available. In this paper, the influence of a self-excited vibrating cavity structure on droplet diameter characteristics was investigated. Twin-fluid atomizing tests were performed by a self-built open atomizing test bench, which was based on a phase Doppler particle analyzer(PDPA). The atomizing flow field of the twin-fluid nozzle with a self-excited vibrating cavity and its absence were tested and analyzed. Then the atomizing flow field of the twin-fluid nozzle with different self-excited vibrating cavity structures was investigated.The experimental results show that the structural parameters of the self-excited vibrating cavity had a great effect on the breakup of large droplets. The Sauter mean diameter(SMD) increased with the increase of orifice diameter or orifice depth. Moreover, a smaller orifice diameter or orifice depth was beneficial to enhancing the turbulence around the outlet of nozzle and decreasing the SMD. The atomizing performance was better when the orifice diameter was2.0 mm or the orifice depth was 1.5 mm. Furthermore, the SMD increased first and then decreased with the increase of the distance between the nozzle outlet and self-excited vibrating cavity, and the SMD of more than half the atomizing flow field was under 35 μm when the distance was 5.0 mm. In addition, with the increase of axial and radial distance from the nozzle outlet, the SMD and arithmetic mean diameter(AMD) tend to increase. The research results provide some design parameters for the twin-fluid nozzle, and the experimental results could serve as a beneficial supplement to the twin-fluid nozzle study.

Investigation of Self Excited Torsional Vibrations of Different Configurations of Automatic Transmission Systems during Engagement

The vehicle drive line system is subjected to torsional vibration from different sources of the system such as;engine fluctuating torque, Hook’s joint and the final drive. However, the essential source is the friction torque induced in the friction elements, during their engagement. In the automatic transmission system, the planetary gear set includes several friction elements such as;clutch, band brakes, and one way clutch. During the engagement, severe torsional vibration is induced by friction which is noticeable by the passengers in the form of what so called vehicle shunt. In present paper, a torsional vibration model for Drive Line (DL) system includes three different configurations of automatic transmission is constructed. A computer program using MATLAB subroutines is implemented to obtain the system response. Effect of system parameters on the dynamic behavior and stability has been investigated. The system damping and the trend of the friction coefficient have an essential effect on the dynamic behavior and stability of the system. The system response is now predictable with change of the system parameters which opens up the opportunity in future to control the vibration level.

多界面浮动花键-柔性轴系自激振动研究

针对直升机超临界尾传动轴系动力学设计需求,开展了浮动花键-柔性轴系自激振动研究。根据浮动花键联接结构形式,分别建立了花键齿面接触模型以及定位面接触模型。参照某型直升机尾水平传动轴系结构,建立了含有浮动花键、膜片联轴器及转轴的多界面浮动花键-柔性轴系动力学模型,并讨论了花键副摩擦诱导下摩擦因数、外阻尼、不平衡量及转速等对系统自激振动的影响。研究结果表明:随着花键副摩擦因数增加,转轴和花键振动响应逐渐增加;在外阻尼和花键副摩擦满足一定条件时,系统可能发生自激振动;系统发生自激振动时处于超临界转速,其振动频率特征由转轴1阶弯曲频率主导,转速越靠近1阶临界转速,转轴振动响应幅值越高。

1SZL-300型振动深松整地联合作业机的研制

【目的】基于自激振动深松减阻原理,研制1SZL-300型振动深松整地联合作业机。【方法】利用Solidworks和CAXA绘图软件设计整机及关键部件结构,研究振动深松部件单体和激振弹簧选型,分析深松铲入土受力及自激振动减阻原理。【结果】弹簧自激振动能够有效减小牵引阻力,自激振动条件下样机深松深度(耕深)382 mm,深松耕深稳定性系数96.8%,土壤膨松度为28.6%,土壤扰动系数为67.5%,地表10 cm内碎土率达62.8%,样机在平均作业速度7.1 km/h下的纯工作小时生产率为2.2 hm ^(2)/h。【结论】1SZL-300型振动深松整地联合作业机作业效果良好,各项检测指标均达到了设计要求。

平面3-RRR柔性并联机构自激振动智能控制

平面3-RRR柔性并联机构的闭链耦合约束作用导致其奇异性复杂,而机构在逆向雅可比奇异位形附近易发生自激振动,严重影响机构的精度并对其结构造成破坏。为了让并联机构重新恢复正常工作,设计振动主动控制算法对自激振动进行抑制。首先,建立了机构的逆向运动学模型,并基于速度雅可比矩阵获得并联机构的奇异判定条件;其次,在完成自激振动产生机理分析的基础上,对振动加速度信号进行了滤波和移相处理;然后,结合加速度反馈与位置误差补偿,设计了模糊神经网络非线性控制器、反向传播(back propagation,简称BP)神经网络自抗扰控制器;最后,通过振动主动控制实验,验证了2种智能控制算法的有效性。实验结果表明,所设计的2种控制算法能够在保障并联机构位置精度的条件下,对自激振动进行快速且有效的抑制。

颗粒自激式冲击-振动耦合力学试验方法及试验研究

针对一类冲击-振动耦合力学试验的技术需求,提出了一种短间隔连续冲击及颗粒体自激振动复合的冲击-振动耦合力学试验方法,并研制了试验系统样机。基于EDEM软件和VC++二次开发建立了试验系统自激振动结构的离散元耦合仿真模型,分析了颗粒体自激振动响应的一般规律,在此基础上根据应用需求优化选择自激振动加载方案。基于研制的力学试验系统样机和自激振动方案开展试验研究,通过分析对比连续冲击加载和冲击-振动耦合加载响应加速度时频域信号,验证了选择的颗粒体自激振动加载方案的实际作用效果,该试验系统可满足一些苛刻高动态连续冲击试验和连续冲击-多频振动耦合试验的需求,研究具有较好的科学意义和工程应用价值。

轮对-轨道系统波磨预测模型的建立及预测分析

基于摩擦自激振动导致钢轨波磨的理论,通过轨下垫板等效替代扣件系统,建立轮轴之间采用过盈配合的轮对-轨道系统的有限元预测模型,采用复特征值分析法预测轮轨系统的摩擦自激振动。通过对比所建模型和采用弹簧阻尼对模拟扣件的模型之间的差异,发现所建模型在预测效果上更接近现场测试结果。通过控制变量法研究摩擦因数、轨下垫片等效弹性模量对波磨预测结果的影响。仿真结果表明:摩擦因数在0.2~0.6范围内时,随着摩擦因数的增大波磨发生的可能性会增加;扣件垂向刚度在50~90 MN/m范围内时,随着扣件刚度的增大即轨下垫板等效弹性模量的增大,系统发生不稳定振动的可能性会降低。仿真预测与实验结果一致,进一步验证了模型的有效性。

Countermeasure Against Regenerative and Forced Chatter of Flexible Workpieces in Milling Processs Using Bi-directional Excitation

A novel extended methodology for chatter suppression in milling process by applying external forced vibrations to the workpiece in two orthogonal directions which are the feed and cross-feed directions.Both the regenerative and forced chatter suppression during the milling process of flexible workpieces are investigated.Here,the workpiece is subject to a sinusoidal periodic force in the feed direction to disrupt the regenerative effect.Additionally,to minimize the forced chatter,the workpiece is subject to the periodic excitation force in cross-feed direction.This force is proportional to the magnitude of the estimated cutting force in cross-feed direction and has a phase opposite to the cutting force to minimize the vibration amplitudes.The effectiveness of the proposed method is evaluated numerically and experimentally,for the spindle speed located in both the local minima and local maxima of the stability lobe diagram.The numerical simulations indicate significant suppression effect in terms of vibration amplitudes,resulting in suppression of both the regenerative chatter and the forced chatter.Experiments were conducted by using a workpiece-mounted active stage composed of flexure hinges and driven by piezoelectric actuators.The experimental results agree qualitatively with the numerical simulations.The proposed method indicates a remarkable vibration reduction effect for both regenerative and forced chatters.

钢轨短波波磨对轨道振动俘能器发电性能的影响规律研究

以轮轨摩擦自激振动理论和轨面不平顺反馈振动理论为基础,结合钢轨波磨与轨道振动能量回收两个研究方向,通过建立考虑钢轨波磨的“车轮-钢轨-吸振器”振动分析模型与轨道振动俘能器分析模型,研究了不同波深与波长的钢轨短波波磨对轨道振动俘能器的输出功率的影响规律。分析结果显示,波磨深度的增大会导致轮轨接触力和轨面垂向加速度的振幅增大,但不会影响钢轨的主振频率。波磨波长的增大会导致轮轨接触力和轨面垂向加速度的振幅先增大后减小,钢轨的主振频率随波磨波长的增大而减小。轨道振动俘能器的输出功率会受到波磨深度和波长的影响,表现为波长不变时,波深增加,俘能器的输出功率提高。波深不变时,波长增加,俘能器的输出功率先增大后减小,但仍大于光滑轨道上俘能器的输出功率,并且,采用小波包分解方法得到小波包能量值与波磨波长几乎呈线性关系。上述分析结果表明,该轨道振动俘能器在高效回收轨道振动能量的条件下,能有效地监测钢轨波磨的产生过程和预测钢轨波磨的近似波长。

基于胎面-路面摩擦自激的轮胎非线性振动建模仿真

轮胎的多边形磨损是汽车研发设计过程中迫切需要解决的问题之一。考虑轮胎接地磨擦的非线性特性,建立了悬架-轮胎-胎面系统的考虑时间延迟的两自由度动力学振动模型,研究基于自激振动理论的轮胎多边形磨损现象。通过matlab/simulink进行仿真试验,验证了汽车中高速行驶时硬自激振动现象的存在,并给出了能够引起自激振动的敏感参数及车速范围。所建立的动力学振动模型可以帮助分析悬架动力学特性对轮胎多边形磨损的影响,为减小或消除轮胎的自激振动提供了理论依据。

1SZL-420型自激振动深松机的设计与试验

【目的】研制一种自激振动深松机.这种深松机在工作过程中,由于非线性土壤耕作阻力作用到振动深松铲上,压迫弹簧往复振动,从而减小机具的牵引阻力,降低功耗.【方法】通过性能试验和查询已经成熟的技术文献,设计深松铲的结构并优化.为了评估样机性能,进行田间试验.【结果】田间试验表明,从无弹簧到Ⅱ号弹簧,深松机可减阻17.76%,深松深度为386.61~406.23mm,稳定性系数为93.30%左右,土壤蓬松度为24.18%~28.65%,土壤扰动系数为53.55%~57.06%,深松效果良好.【结论】本自激振动深松机能够有效减小牵引阻力,降低机具功耗,各项工作参数达到评定指标.

基于摩擦自振的轮胎-悬架振动系统仿真分析

在胎面-路面单自由度模型的基础上,将悬架、轮胎、胎面三者各自的物理特性同时纳入研究范围,运用多刚体系统动力学方法建立起悬架-轮胎-胎面四自由度ADAMS模型。仿真结果表明了当胎面产生剧烈自激振动时,其能量会传递到悬架和轮胎,使得前束角、外倾角和轮胎的垂向跳动都产生频率相同但程度不同的自激振动,证明了理论模型的正确性。并对该四自由度系统进行分岔数值模拟,找出了轮胎胎面产生自激振动的车速区间,为今后进一步的非线性理论研究以及实验研究奠定了理论基础和研究依据。