界面摩擦过程非连续能量耗散机理研究

结合无磨损界面摩擦微观能量耗散机理的复合振子模型,运用量子理论建立了微观能量耗散的量子力学模型.分析表明：在滑动过程中,当界面原子从一种平衡态跳跃至另一种平衡态时,摩擦功以离散形式耗散为界面原子热振子,且界面吸收能量的能力是离散的;高能态界面较低能态界面吸收能量的能力强,表现为易于吸收界面势能.界面原子吸收和释放能量的离散性在宏观上表现为摩擦功耗散的非连续性,为从微观角度解释无磨损界面摩擦状态周期性变化提供了理论基础. 关键词： 摩擦 非连续能量耗散 复合振子模型     

基于耦合振子模型的摩擦力计算研究

以界面摩擦为研究对象,探讨了基于耦合振子模型(coupled-oscillator model)的滑动摩擦微观机理,分析了滑动过程中的能量耗散问题. 采用Maugis-Dugdal接触模型替代界面摩擦中的Lennard-Jones势能,并将该模型融入耦合振子模型之中,通过计算振子在一个周期内的能量增加值,推导出了界面摩擦力的理论计算公式. 理论分析表明,对于探针-试样接触系统,滑动摩擦力近似随着法向载荷的2/3次方增加,这与纳米摩擦学经典理论是相符的.理论计算结果与超高真空原子力显微镜镀铜探针在Cu(111)晶面扫描实验结果符合良好,表明本文提出的理论和方法可行. 关键词： 耦合振子模型 界面摩擦 摩擦力 法向载荷     

声子摩擦能量耗散机理研究

以界面摩擦为研究对象,分析了黏滑过程中的能量积累和耗散问题.基于晶格热动力学理论,通过分析界面原子在周期性势场中跳跃前后的势能差,推导了界面原子温升公式.理论表明,界面温升与摩擦系统的接触状态和材料特性有关,界面交互势能是其中影响较大的因素之一.在滑动阶段初期,由于界面原子处于非热平衡状态,晶格的热振动将通过激发出新声子而耗散能量,从而使得非热平衡向平衡状态转变.通过引入量子力学和热力学理论,分析了界面摩擦能量的耗散规律.结果表明,当声子振动频率较大时,黏着阶段存储于界面振子上的弹性势能在滑动阶段就很快完全耗散,耗散时间远小于滑动阶段的时间. 关键词： 界面摩擦 黏滑 声子 温升     

q变形转动振子模型(Ⅰ)——q振子与双原子分子振动谱

我们提出具有量子群对称性的q变形转动振子模型,并采用这一模型对一类微观系统的转动振动谱给出相当精确的描述。本文集中讨论q振子模型,指出,q振子代数的表示及相应的能级结构可以准确地描述双原子分子的红外振动谱、振动喇曼谱、电子跃迁振动谱及相应的选择定则。 关键词：     

计入固液界面作用的润滑热力学模型与分析

摩擦与润滑过程是典型的能量耗散过程, 在机理上与非平衡热力学中的熵增、耗散结构等理论颇有相似之处. 通过热力学分析可以对一些典型的摩擦磨损过程做出合理的机理揭示与推测. 本文利用热力学理论对典型的润滑过程进行了建模分析. 采用分离压模型表征和计入了微尺度下的固液界面作用, 揭示分析了润滑热力学模型与润滑状态Stribeck曲线的联系. 从分析计算结果来看, 润滑Stribeck曲线的摩擦系数最低点与系统热力学上的熵增率最低点具有相当好的对应关系, 而润滑状态从弹流润滑向薄膜润滑的转变过程, 可以用耗散结构理论加以机理解释. 文中的热力学模型和方法能够有效地体现出润滑过程中多物理要素跨尺度非线性耦合的作用, 对实际工程与实验有着重要的指导作用.     

热激发效应对界面摩擦的影响

论文主要从微观角度研究摩擦热产生的机理及摩擦热对摩擦性能的影响. 依据固体物理学中原子热振动理论, 以界面摩擦为研究对象, 从分析界面原子的受迫振动出发, 得出界面摩擦过程中原子的振动实际上是自激振动和受迫振动的叠加, 界面原子在非平衡状态下的热振动将导致声子的激发和湮灭, 进而导致摩擦热的产生, 摩擦界面的温度升高. 然后, 从温度对界面原子能级分布和跃迁的影响角度探讨了热激发效应对界面摩擦的影响, 分析得出如下结论: 温度低时, 界面原子处在激发态的概率随着温度的升高而增加, 导致摩擦系数随温度增加而增加; 温度在100 K附近界面原子处在激发态的概率出现峰值, 导致摩擦系数出现峰值; 当温度高于临界值后, 摩擦系数随温度的升高反而会降低. 最后将本文的理论分析的结果与他人的实验结果对比, 显示两者的趋势一致, 表明本文提出的理论和方法可行.     

外力驱动下耦合弹簧振子的法诺共振

法诺共振是物理体系中普遍存在的一种非对称共振现象,它最早起源于量子物理,其微观图像是原子谱线中窄的分离态与宽的连续态之间的相干干涉.本文利用经典力学体系中两个弹簧振子的耦合,使其中一个弹簧振子受到周期性外力的驱动,成功类比了量子力学中的法诺共振现象.通过分析每个弹簧振子的动力学方程,严格求解它们的振动公式,从而得到每个弹簧振子的振幅和位相与外部驱动力频率之间的关系.结果表明,耦合体系中受外力驱动的那个弹簧振子既可以发生非对称的法诺共振,又可以发生对称的洛仑兹共振,而另一个弹簧振子只能发生洛仑兹共振.本文的推导与分析能够使读者更好地理解法诺共振现象及其激发条件.     

品质因子可调的石墨烯纳米机械振子

纳米机械振子尺寸小,质量轻,可以用来制作探测力、质量等微小物理量的超灵敏探测器.石墨烯拥有质量轻、密度低和杨氏模量高等特性,被认为是制作纳米机械振子的理想材料.石墨烯纳米机械振子因其具有的谐振频率高、品质因子高和谐振频率可调性高等优势,近年来得到了人们的广泛关注.作为表征纳米机械振子性能的一个重要指标,品质因子越高,意味着纳米机械振子耗散越低,纳米机械振子的灵敏度越高.本文通过微纳加工的工艺制备出一种谐振频率随栅压可调(调节的范围为73MHz~90MHz)的石墨烯纳米机械振子样品,研究其在极低温高真空环境下的品质因子与栅极电压之间的关系.实验表明通过栅压调节振子的内部应力,能够使石墨烯纳米机械振子品质因子从220提高到1000.我们的结果为二维材料纳米机械振子的耗散研究提供了一种新的研究思路.     

利用DISLab进行弹簧振子简谐运动实验条件的研究

利用DISLab研究弹簧振子简谐运动中力和位移随时间变化的关系,发现弹簧在振动过程中回复力存在滞后现象.本文通过设计实验,研究了弹簧的劲度系数、振子质量和振幅对回复力滞后的影响.     

“禁忌”3-磁振子相互作用哈密顿项的有效性分析

考察磁有序晶体中局部存在的动量守恒而能量不守恒的3-磁振子激励过程，通过幺正变换，把自旋波理论中不合理的3-磁振子产生与湮没过程的哈密顿项构造为有 效的4-磁振子相互作用哈密顿项. 关键词： 磁振子 哈密顿项 幺正变换     

Contact mechanics analysis of oscillatory sliding of a rigid fractal surface against an elastic–plastic half-space

Oscillatory sliding contact between a rigid rough surface and an elastic–plastic half-space is examined in the context of numerical simulations. Stick-slip at asperity contacts is included in the analysis in the form of a modified Mindlin theory. Two friction force components are considered – adhesion (depending on the real area of contact, shear strength and interfacial adhesive strength) and plowing (accounting for the deformation resistance of the plastically deformed half-space). Multi-scale surface roughness is described by fractal geometry, whereas the interfacial adhesive strength is represented by a floating parameter that varies between zero (adhesionless surfaces) and one (perfectly adhered surfaces). The effects of surface roughness, apparent contact pressure, oscillation amplitude, elastic–plastic properties of the half-space and interfacial adhesion on contact deformation are interpreted in the light of numerical results of the energy dissipation, maximum tangential (friction) force and slip index. A non-monotonic trend of the energy dissipation and maximum tangential force is observed with increasing surface roughness, which is explained in terms of the evolution of the elastic and plastic fractions of truncated asperity contact areas. The decrease of energy dissipation with increasing apparent contact pressure is attributed to the increase of the elastic contact area fraction and the decrease of the slip index. For a half-space with fixed yield strength, a lower elastic modulus produces a higher tangential force, whereas a higher elastic modulus yields a higher slip index. These two competing effects lead to a non-monotonic dependence of the energy dissipation on the elastic modulus-to-yield strength ratio of the half-space. The effect of interfacial adhesion on the oscillatory contact behaviour is more pronounced for smoother surfaces because the majority of asperity contacts deform elastically and adhesion is the dominant friction mechanism. For rough surfaces, higher interfacial adhesion yields less energy dissipation because more asperity contacts exhibit partial slip.     

Molecular dynamics study of effects of radius and defect on oscillatory behaviors of C60-nanotube oscillators

Using the micro-canonical ensemble, we investigate the oscillatory behaviors of some selected C60-nanotube oscillators by the classical molecular dynamics (MD) simulations method. The second-generation empirical bond-order potential and the van der Waals potential are used to describe bonding and nonbonding atomic interactions, respectively. In the process of simulation, two factors of the radius and vacancy defect of single-walled carbon nanotubes (SWCNTs) are discussed to investigate their effects on the oscillatory behaviors of C60-nanotube oscillators. The simulation results show that the energy dissipation of the C60-nanotube oscillator is sensitive to the radius and vacancy defect, and that the effect of the vacancy defect on the oscillatory behaviors of oscillator depends obviously on the radius of the outer tube. It is found that a single vacancy defect placed on the outer tube of the C60-(17,0) nanotube oscillator can significantly reduce energy dissipation. For C60-(18,0), C60-(19,0) and C60-(11,11) nanotube oscillators, however, the results show that an oscillator containing a vacancy defect is less stable than the one without defect.     

Parametric generator of hyperbolic chaos based on two coupled oscillators with nonlinear dissipation

The design of a parametric chaos generator based on two coupled Q-modulated oscillators with working frequencies differing by a factor of two and pumped by pulses at triple frequency with a repetition period equal to the modulation period of the Q factor is considered. We analyze a model in which the time evolution comprises four periodically repeated stages of the same duration. At the first stage, the oscillators are excited parametrically in the presence of linear dissipation; at the second stage, the second oscillator is damped; at the third stage, the oscillators interact via a quadratic nonlinearity; while at the fourth stage, the first oscillator is damped. The transformation of the oscillation phase over four stages is defined by an expanding circle map. In the phase space of the four-dimensional mapping describing the variation of the state over the modulation period, the Smale-Williams attractor occurs. We consider the results of numerical analysis of chaotic dynamics determined by the presence of the attractor as well as the result of calculations confirming its hyperbolic nature on the basis of the cone criterion known from the mathematical literature.     

基底支撑刚度梯度变化对石墨烯层间摩擦力的影响

基于纳米摩擦能耗理论,利用分子动力学方法建立了公度接触下支撑刚度梯度变化的石墨烯层间摩擦力模型,分析了基底质心刚度和支撑刚度梯度变化对基底和薄片各接触区摩擦能耗的贡献.结果表明:软边界区始终贡献驱动力;硬边界区贡献的摩擦力最大,且随着支撑刚度的增大,硬边界区对总摩擦的贡献比也越高.各接触区的摩擦力是薄片和基底之间的褶皱势和接触区产生的法向变形差两部分的共同作用.前者是公度接触下阻碍滑移的界面势垒和刚度梯度方向上不同刚度支撑原子热振动引起的势梯度;后者是接触边界过渡区两侧原子的非对称变形和自由度约束突变引起的非平衡边界势垒相耦合的结果.本文对研究公度接触下刚度梯度支撑的纳米器件的相对运动规律有指导意义.     

Energy dissipation prediction in a line of colliding oscillators

In this paper the impact of a line of adjacent structures, or oscillators, is studied using an energy formulation. The energy exchange and dissipation from a collision of a pair of oscillators is studied by creating an equivalent oscillator pair, one has the energy of the in-phase motion and the other has the out-of-phase energy. It is found that the energy exchange between colliding oscillators is proportional to the initial kinetic energy difference of the oscillators and that work in the collision is proportional to the out-of-phase energy or difference energy. The kinetic energy at contact is then related to the mean oscillator energy, permitting a power balance equation to be written for each oscillator in line. The power balance equations have three independent variables for each pair of oscillators: the oscillator time averaged energies and the phase difference. This equation is run in a time-stepping procedure, with steps at the mean collision rate. The work in the collisions and internal oscillator dissipation is output as a function of time. A parameter study is conducted to see how the work changes with oscillator: separation, contact stiffness and contact damping.