Superlubricity of Si_3N_4 sliding against SiO_2 under linear contact conditions in phosphoric acid solutions

Superlubricity phenomena, which were previously achieved merely under point contact conditions, have been observed under the linear contact condition between the silicon nitride (Si3N4) cylinder and the silica (SiO2) ring in phosphoric acid solutions.After a total 800 s running-in period and low friction stage, the friction coefficient finally declined to about 0.003. The ultralow friction coefficient could last for more than 5 h. In these experiments, a torque sensor of high accuracy was used to make sure that the measuring result was credible. The differences between superlubricity experiments in our group and others were dis-cussed. Unlike the situations in other superlubricity experiments about silicon nitride, where the specimens were immersed in water totally, the phosphoric acid solution with volume of only 150 μL was used in these tests. It was proved that free water in the solution had a great relationship to the necessary time of acquiring superlubricity and phosphoric acid played a unique role in the superlubricity, which could not be explained properly by the hydrodynamic lubrication model proposed by others. Fi-nally, based on the results of the friction tests and the analysis with scanning electron microscope (SEM), a modified hydro-gen-bonded network and hydrated shearing layer model was proposed to explain the mechanism of superlubricity.

Contact Analysis and Modeling of Standing Wave Linear Ultrasonic Motor

A contact model for describing the contact mechanics between the stator and slider of the standing wave linear ultrasonic motor was presented. The proposed model starts from the assumption that the vibration characteristics of the stator is not affected by the contact process. A modified friction models was used to analyze the contact problems. Firstly, the dynamic normal contact force, interface friction force, and steady-state characteristics were analyzed. Secondly, the influences of the contact layer material, the dynamic characteristics of the stator, and the pre-load on motor performance were simulated. Finally, to validate the contact model, a linear ultrasonic motor based on in-plane modes was used as an example. The corresponding results show that a set of simulation of motor performances based on the proposed contact mechanism is in good agreement with experimental results. This model is helpful to understanding the operation principle of the standing wave linear motor and thus contributes to the design of these types of motor.

Ultrasonic beam focusing characteristics of shear-vertical waves for contact-type linear phased array in solid

We investigate the beam focusing technology of shear-vertical(SV) waves for a contact-type linear phased array to overcome the shortcomings of conventional wedge transducer arrays. The numerical simulation reveals the transient excitation and propagation characteristics of SV waves. It is found that the element size plays an important role in determining the transient radiation directivity of SV waves. The transient beam focusing characteristics of SV waves for various array parameters are deeply studied. It is particularly interesting to see that smaller element width will provide the focused beam of SV waves with higher quality, while larger element width may result in erratic fluctuation of focusing energy around the focal point. There exists a specific range of inter-element spacing for optimum focusing performance. Moreover, good beam focusing performance of SV waves can be achieved only at high steering angles.

Modeling and Experiment on Contact Stiffness and Accuracy Analysis of Ball Linear Guide Feed Unit

The contact stiffness and the error analysis have an important effect on the manufacture and the optimization of Ball Linear Guide Feed Unit( BLGFU). In order to analyze the contact stiffness and linear errors or angle errors of BLGFU,in this paper,the contact stress and deformation mechanics between the ball and rail is analyzed. Based on Hertz theory of contact and theory of the multi-body system,a model of the contact stiffness considering the changes in contact angle is established. With the increasing of the external load,the varying trend of the contact deformation can be obtained. Therefore, the motion accuracy degradation of the BLGFU can be analyzed. By using a special experimental device and test system of the rolling linear guide worktable,the horizontal contact stiffness and the vertical linear stiffness are obtained,respectively. By comparing the contact stiffness of the experiment dates and the simulation results,the variation tendency of two curves is consisted and the difference between the measured values and the theoretical values is less than 18%. It is obvious that the model of the contact stiffness considering changes of contact angle has accuracy and feasibility. Thus,while external force point locating at different positions; the contact stiffness and the accuracy analysis of the BLGFU are proved validity by simulations.

Book Review “Fabrikant,V.I.Contact and Crack Problems in Linear Theory of Elasticity,Bentham Science Publishers,Sharjah,UAE(2010)”

As suggested by the title, this extensive book is concerned with crack and contact prob- lems in linear elasticity. However, in general, it is intended for a wide audience ranging from engineers to mathematical physicists. Indeed, numerous problems of both academic and tech- nological interest in electro-magnetics, acoustics, solid and fluid dynamics, etc. are actually related to each other and governed by the same mixed boundary value problems from a unified mathematical standpoint

驻波型直线超声波电机接触特性有限元建模与分析

超声波电机接触摩擦是影响电机性能的关键环节,建立超声波电机的接触模型对电机性能优化具有重要作用。现有对驻波型超声波电机接触问题的研究,大多采用解析法,需要采用较多的简化假设,难以准确反映电机实际结构及真实接触情况。针对这一问题,采用有限元法,对驻波型直线超声波电机接触特性进行建模和分析。首先,考虑定子复合结构,建立定子三维有限元模型,分析定子在外加电压作用下的振动响应,得到定子振动位移表达式。在此基础上,考虑定子与动子的结构和接触特点,建立定、动子接触三维有限元模型。基于所建立的模型,分析了定、动子的接触状态、接触压力分布,并研究了驱动电压大小和预压力变化对接触特性和电机性能的影响。最后,搭建试验测试平台,测量了电机的输出特性,并与理论计算值进行对比,对比结果验证了所建立的定、动子三维有限元接触模型。

两条B样条曲线求交的高效计算方法

曲线曲面间求交计算在CG和CAD中有着广泛的应用.牛顿法等迭代法计算效率高但需要良好的初始值;裁剪法具有良好的鲁棒性但计算效率不理想,尤其是对于相切情况的求交问题.为此,提出一种计算2条B样条曲线交点的混合方法.首先提出一种高效的线性复杂度裁剪方法,用于获得良好的初始值;然后提出一种与导数无关且效率更高的改进的割线法,用于验证贯穿性相交情况;最后提出一个相切情况下收敛阶为2的迭代公式,其性能远优于现有的牛顿法和裁剪法.理论上,混合方法若与根隔离法相结合,可以应用于更多类型曲线间的求交问题.数值实验结果表明,与现有的同类方法相比,在贯穿情况下,所提方法的计算效率提高约10%,在相切情况下则提高约100%~300%.

振动压实中后期振动轮与压实路面的接触非线性动力学研究

在考虑随振土体质量的基础上,建立三自由度振动压路机-土耦合动力学模型,通过分析振动轮的时频域图、Poincaré截面图、最大Lyapunov指数和轮-土动态接触力等响应,研究振动压路机振动轮在压实过程中的非线性动力学响应特性。数值仿真结果表明,随着路基压实度的增大,振动轮由单一周期运动演变为多周期运动,最终进入混沌状态;在演变过程中,振动轮加速度的频域特征由最初的单一基频向基频伴随有整倍频谐波过渡,最终以基频和1/2倍次谐波为主要部分;在进入混沌状态后减小激振力和增大激振频率都可以使混沌状态退化至近似单一周期运动,其中减小激振力对响应特征的影响为:频域响应存在较弱的1/3倍、2/3倍及高倍次谐波;而增大激振频率对响应特征的影响为:振动轮压实运动的单一周期更为明显。

五强溪水电厂底孔密封性能仿真模拟研究

针对水电站闸门水封存在密封性能在运行过程中裂化、密封性能预测困难、水封更换时螺栓预紧量的确定缺乏理论依据等问题,提出基于多元线性回归的螺栓预紧量补偿模型。结合工程实例,通过Ogden公式建立方头P型水封橡胶超弹性本构模型,建立复杂工况下水封密封结构非线性有限元计算模型。基于Ansys计算了4种影响因素下的水封接触应力,分析了多种影响因素与水封密封性能之间的独立影响和综合影响规律,在有限元分析的基础上,基于多元线性回归建立了接触应力计算公式,构建了螺栓预紧量补偿模型,实现了水封密封性能反演和螺栓预紧量补偿计算。结果表明,基于螺栓预紧量补偿模型得到的接触应力与预期值的平均相对误差为7.6%,最大相对误差为16.9%,模型能够实现在水封安装工况改变时对螺栓预紧量进行修正,从而得到预期水封密封性能,为实际工程中水封结构的设计、安装提供了可靠依据。

基于无网格方法的机械结合面接触分析

典型的无网格方法采用移动最小二乘函数(moving least squares,MLS)作为近似函数,但由于MLS不具备Kronecker delta函数性质,本质边界施加困难。LRPIM是采用径向基点插值形函数的无网格方法,本质边界条件无需特殊处理,可以直接施加,在保持高精度的前提下提高计算效率。将LRPIM应用于机械结合面接触问题的计算。根据位移连续条件推导了含接触特性的线性互补方程,建立了基于LRPIM的计算模型,采用线性互补算法利用数值积分计算了几种典型的接触问题,得到了接触面压力分布和接触变形,分析了插值函数形状参数和积分域尺寸对计算结果的影响。研究结果表明,插值函数形状参数α_(c)对接触力的影响较小,而形状参数q取-0.5~1.2时有较好的收敛效果;积分域无量纲尺寸a_(qx)、a_(qy)大于1.5时计算结果开始收敛,大于2.5时出现发散现象,取值2.1时收敛效果最佳。将计算结果与已有结果进行比较,表明本研究方法有较高的求解精度。

基于服装个性化智能定制的三维人体测量系统物-像结构算法的研究

目前,我国基于服装个性化智能量身定制的理念日趋完善。但是,在消费者目标尺寸自动获取方面仍然缺乏实用的设备和技术,成为了大多数企业个性化智能定制发展的一个瓶颈,其根本原因是缺少实用性强的个性化智能定制系统。人体动态测量与其他工业产品精密测量相比具有自身独有的特殊性和困难。在探讨了现有的光学类基于个性化智能定制系统的现状的前提下,针对目前存在的激光三维人体扫描测量系统普遍存在硬件设备庞大、结构复杂的问题,对文中提出的基于个性化智能定制系统进行了原理设计,建立了系统的物-像结构算法的数学模型。该算法采用了扫描单元旋转的测量方式,使系统能够在垂直方向上获得较大的测量范围,目的是使系统采用较小的硬件获取满意的三维人体空间坐标,有利于节省竖直空间、减小体积。该算法已成功应用于基于服装个性化智能定制系统。为了验证本算法的精度,设计了与法国力克系统的三维人台对比扫描实验,实验数据验证了本系统结构算法的精度、工程实用性和可靠性。

分段线性系统经典数学模型的修正与动力学分析

由于间隙的存在,很多机械系统可以简化为分段线性模型,而简化后的模型中副簧系统通常包含阻尼.在大多数文献建立的数学模型中,主、副系统的接触点与分离点固定在间隙处.文章研究发现,由于副簧系统中弹簧与阻尼的力学特性不同,主、副系统的接触点与分离点位置实际上是随着系统参数和运动状态而变化的.若忽视这一点,后续的包括分岔和混沌在内的动力学分析就会出现误差甚至错误.首先基于经典的数学模型,用数值方法揭示了在简谐激励下主系统未返回到间隙处就与副簧系统提前分离,证明了经典数学模型的不当之处.进一步研究发现主系统不仅会出现提前分离,还会出现接触滞后的现象.因此对系统的接触与分离条件提出了修正,得到了更合理的数学模型.研究发现修正后的接触点、分离点位置与修正前相差较大,修正后的幅频响应曲线与修正前存在一定差别;在复杂运动中,修正前后的运动性质也可能发生改变,证明了修正后的模型更加合理,更能反映工程实际.然后,采用平均法并对平均法的积分区间进行推广,求得了修正模型的幅频响应的解析解,并通过龙格库塔法验证了解析解的正确性.对解析解进行稳定性分析,得到了解析解的稳定性判别式.最后,探究了修正模型的副簧系统参数对主系统幅频响应的影响.

基于Linear Cohesion模型的含水堆积体滑坡过程数值模拟

水通常是堆积体滑坡发生的触发因素,采用数值方法模拟堆积体滑坡时加入水的液桥力有助于提高计算结果的合理性。为了研究含水堆积体滑坡过程的各项运动特性,提出采用Linear Cohesion接触模型模拟含水湿润状态下松散堆积体滑坡的运动过程,利用离散元程序EDEM 2017建立了含水堆积体滑坡水槽数值模型,计算堆积体从失稳-滑动-堆积整个运动过程。结果表明:能量密度k是Linear Cohesion模型模拟含水堆积体滑坡的关键参数;当k<5000 J/m^3时,随着能量密度值逐渐增大,堆积体滑动过程的流动性越来越小,最大平均速度值和最大动能越大,当k≥5000 J/m^3时,含水堆积体的各项滑动特征变化不明显;较小能量密度的湿颗粒堆积体在滑动过程中结构体易发生破坏,形成的颗粒群流动性更强,滑动距离更远,扩大了滑坡灾害的影响范围。相关研究成果对今后类似的含水堆积体滑坡灾害的预测和评估有一定参考价值。

RIGID-PLASTIC/RIGID-VISCOPLASTIC FEM BASED ON LINEAR PROGRAMMING—THEORETICAL MODELING AND APPLICATION FOR AXISYMMETRICAL PROBLEMS

Compared with the traditional rigid plastic/rigid viscoplastic(RP/RVP) FEM(based on iteration solution),RP/RVP FEM based on linear programming (LP) has some remarkable advantages,such as it's free of convergence problem and its convenience in contact,rigid zone,and friction force treatment.The numerical model of RP/RVP FEM based on LP for axisymmetrical metal forming simulation is studied,and some related key factors and its treatment methods in formulation of constraint condition are proposed.Some solution examples are provided to validate its accuracy and efficiency.

Solving frictional contact problems by two aggregate-function-based algorithms

Three dimensional frictional contact problems are formulated as linear complementarity problems based on the parametric variational principle. Two aggregate-functionbased algorithms for solving complementarity problems are proposed. One is called the self-adjusting interior point algorithm, the other is called the aggregate function smoothing algorithm. Numerical experiment shows the efficiency of the proposed two algorithms.

Transformer Characteristics of Linear Motor-Transformer Apparatus

The characteristics of linear transformer are studied analytically. The transformer is composed in one of modes of linear motor-transformer apparatus proposed for future wireless light rail vehicle (LRV). The secondary (onboard) power factor can be adjusted at any value by an onboard converter. The equivalent circuit is used to study the transferred power control. The parameters are determined by three-dimensional finite element method (FEM) analysis for one pole-pair model. Under the rated primary (input) and secondary voltage and current, which are specified for linear motor operation, the characteristics of the secondary power factor are cleared. It is also shown that the input capacitor can improve the primary power factor and decrease the input power capacity, but does not change the efficiency. This linear transformer has the efficiency of 91% and the input power factor of 0.87 when the apparatus without input capacitor is controlled at the secondary power factor of 0.4.

NON-INTERIOR SMOOTHING ALGORITHM FOR FRICTIONAL CONTACT PROBLEMS

A new algorithm for solving the three-dimensional elastic contact problem with friction is presented. The algorithm is a non-interior smoothing algorithm based on an NCP-function. The parametric variational principle and parametric quadratic programming method were applied to the analysis of three-dimensional frictional contact problem. The solution of the contact problem was finally reduced to a linear complementarity problem, which was reformulated as a system of nonsmooth equations via an NCP-function. A smoothing approximation to the nonsmooth equations was given by the aggregate function. A Newton method was used to solve the resulting smoothing nonlinear equations. The algorithm presented is easy to understand and implement. The reliability and efficiency of this algorithm are demonstrated both by the numerical experiments of LCP in mathematical way and the examples of contact problems in mechanics.

直线滚动导轨非赫兹接触静刚度模型

为建立导轨非赫兹接触静刚度模型,首先给出并求解了一般性点接触问题的基本方程,将其应用到单滚动体和滚道的非赫兹接触问题中进行非赫兹接触分析;其次用拟合精度较高的四阶线性方程拟合出了单滚动体和滚道的静刚度模型;再次基于齐次坐标矩阵法与单滚动体和滚道非赫兹接触静刚度模型建立了滚动导轨非赫兹接触静刚度模型;最后以某一滚动导轨为例求解并分析了非赫兹接触下的五自由度静刚度,结果表明用赫兹接触理论求解非赫兹接触下的导轨静刚度误差最大可达33%。

The Asymmetric Laplace Law for distribution of aluminum contact resistance in spot welding

This paper investigates the distribution of contact resistance of the aluminum alloy in the squeeze stage. A new method of measuring path＇ s resistance is proposed firstly. Contact resistances are calculated accurately by the systems of 5 linear equations and solutions show that three contact resistances are different. The probability density functions of contact resistance in workpiece/workpiece（ W/W） and upper electrode/workpiece（ E/W） show that the curve shape has steeper peak and heavier tail than that of the normal distribution. Non-parameter hypothesis test is performed and the result shows that R2 , R4 reject the normal distribution using chi-square and kolmogoroo statistic D method. Therefore, the Asymmetric Laplace distribution is fitted to empirical distributions and is applied to quantify the influence of random contact resistance. The result illustrates that AL distribution is very close to contact resistance of W/W and upper E/W and normal distribution has some deviation. The paper is helpful to research the initial nugget conditions, weldability and the transient multi-coupling field.