径向磁化的多环嵌套永磁轴承轴向磁力解析模型

为了解决径向磁化双环永磁轴承轴向磁力偏小的问题,设计了径向磁化多环嵌套永磁轴承新结构。基于磁路及虚功原理法,结合径向磁化多环嵌套永磁轴承结构特点及线性叠加原理,建立了径向磁化多环嵌套永磁轴承轴向磁力解析模型。模型表明:径向磁化多环嵌套永磁轴承轴向磁力与磁环剩磁平方成正比,磁力随磁环间隙的增大而减小,随磁环数的增大而增大;在正常轴向工作范围内,轴向磁力随轴承轴向偏移的增大而增大。模型计算结果与有限元计算结果基本吻合。对比计算说明:径向磁化多环嵌套永磁轴承轴向磁力远大于由原多嵌套磁环所构成的若干双环永磁轴承轴向磁力之和。     

永磁向心轴承承载能力与刚度的计算

目前，尽管磁浮轴承技术的研究与开发应用已经受到国内外学者的广泛重视，但在永磁向心轴承承载能力的研究方面，却还存在着两个尚待解决的问题：一是将环形磁体作为无限长条形磁体处理，二是只能对轴承承载能力进行估算。针对这种情况，根据等效磁荷理论，在圆环状态下对轴向控制的永磁向心轴承的承载能力和刚度进行了研究，建立了永磁向心轴承承载能力数学模型，并对其计算结果作了试验验证，同时还提出了利用刚度系数建立的可供工程设计应用的永磁轴承承载能力和刚度的计算公式。结果表明，承载能力的计算值与实测值相当吻合；在偏心距的实际应用范围内，永磁向心轴承的径向刚度是个常量；内外磁环的轴向位移对磁轴承的承载能力和刚度都有明显的影响．因此，为了最大限度地提高这种轴承的承载能力和刚度，就要在设计其结构的过程中注意尽力保证内外磁环轴向对齐。     

热载荷作用下梯度多孔材料梁弯曲及过屈曲力学行为的研究

基于Bernoulli-Euler梁理论,引入物理中面解耦了复合材料结构的面内变形与横向弯曲特性,研究了梯度多孔材料矩形截面梁在热载荷作用下的弯曲及过屈曲力学行为．假设沿梁厚度方向材料的性质是连续变化的,利用能量法推导了矩形截面梁的控制微分方程和边界条件,并用打靶法对无量纲化的控制方程进行数值求解．利用计算得到的结果分析了材料的性质、热载荷、边界条件对矩形截面梁非线性力学行为的影响．结果表明,对称材料模型下,固支梁与简支梁均显示出了典型的分支屈曲行为特征,而其临界屈曲热载荷值均会随着孔隙率系数的增加而单调增加．非对称材料模型下,固支梁仍显示出分支屈曲行为特征,但其临界屈曲热载荷不再随着孔隙率系数的变化而单调变化;而对于两端简支梁,发生了弯曲变形,弯曲挠度随载荷的增大而增大．     

基于等效刚度的矩形孔蜂窝梁钢框架结构内力计算方法

蜂窝梁钢框架结构因梁截面沿长度周期性变化，不能直接采用普通钢框架结构矩阵位移法计算框架内力和位移．本文基于等效刚度法推导了矩形孔蜂窝梁的等效抗弯刚度、抗剪刚度和轴向刚度，建立了矩形孔蜂窝梁的单元刚度方程，提出了矩形孔蜂窝梁钢框架内力和位移计算方法．算例理论计算结果与有限元分析结果表明，两种方法计算结果非常接近．本文提出的等效刚度法概念清晰，准确性好，适用于计算蜂窝梁钢框架结构的内力和位移．     

Kelvin结构开孔泡沫材料的弹性性能研究

采用一修正的十四面体结构模型(Kelvin结构模型)对开孔泡沫金属的弹性性能进行研究,对低密度开孔泡沫材料表现出不可压的特性进行了分析。该模型考虑作用在泡沫筋条上的弯矩、剪力和轴向力,以及轴向力的平衡。修正模型的数值计算结果与实验结果及其他模型的结果进行了对比,结果表明修正模型计算的杨氏模量比原有模型的略有提高,筋条截面为星形的修正模型计算的结果与实验比较符合。在密度等同的条件下,筋条截面惯性矩越大的开孔泡沫材料,其弹性模量也越大,而泊松比则越小。Kelvin结构的开孔泡沫材料的泊松比随相对密度的减小而趋于0.5。     

分析弹性支承输流管道的失稳临界流速

研究了两端弹性支承输流管道静态失稳和动态失稳临界流速. 根据梁模型横向弯曲振动模态 函数，由两端弹性支承的边界条件得到了其模态函数的一般表达式. 根据特征方程具体分析 了弹性支承刚度、质量比、流体压力和管截面轴向力等主要参数对失稳临界流速的影响. 数 值计算结果表明，管道在弹性支承下的动力稳定性比较复杂，在较小的弹性支承刚度和较小 的参数范围内，管道主要表现为动态颤振失稳；在较大的弹性支承刚度和较大的参数作用下， 管道的失稳形式主要表现为静态失稳；并且失稳临界流速随流体压力和管截面轴向压力的增 加而下降，随管截面轴向拉力的增加而上升.     

多沟槽水润滑橡胶合金轴承润滑特性研究

建立了考虑多沟槽润滑结构和实际工况边界条件的水润滑橡胶合金轴承弹流润滑数学模型,数值计算了有无沟槽以及沟槽半径对润滑性能的影响.计算结果表明：沟槽对水润滑橡胶合金轴承润滑性能影响显著,即在沟槽处膜厚较大,压力较低,而在承载区膜厚较小,压力较高,周向方向上压力分布不连续,并且在最小膜厚处轴向方向的入口和出口附近出现了两个压力峰值;水膜压力和最小膜厚均随沟槽半径的增大而减小;承载能力随偏心率增大而增大,随沟槽半径和过渡圆弧半径的增大而减小;摩擦系数随转速增大而略有增大,随沟槽半径的增大显著增加.     

电磁膨胀环实验设计的关键因素

为了更好地研究电磁膨胀环实验加载技术,利用带有电磁模块的LS DYNA三维动力学有限元程序对电磁膨胀环加载过程进行三维数值模拟。分析了螺线圈绕法、加载电流波形、膨胀环截面尺寸和轴向位移对电磁膨胀环实验结果的影响。计算结果表明,连接带缺口螺线圈的圆圈绕线方法优于均匀过渡绕法,加载电流峰值与膨胀环径向速度峰值近似成线性关系,适当增加膨胀环截面轴向的宽度可提高膨胀环运动稳定性,双螺线圈模型可有效减小膨胀环轴向位移。     

纳米尺度气体滑动轴承的DSMC模拟

依据硬盘驱动系统中读写头与盘面的构造,结合现有的楔型和阶跃型气体滑动轴承的特点,提出了一种气体滑动轴承结构,并采用直接模拟Monte Carlo(DSMC)法数值研究了滑动轴承的最小间距、移动速度和系统温度对轴承承载能力的影响.计算结果表明,所设计轴承的承载能力随移动速度的增大而增加,随最小间距的增加和系统温度的升高而减小;轴承的承载能力对轴承最小间距的变化更敏感.     

内圈离心位移对高速角接触球轴承刚度的影响

以弹性力学理论、滚动轴承动力学和沟道控制理论为基础,计算了角接触球轴承内圈在离心力作用下的径向位移,给出了计及内圈离心位移影响时,高速角接触球轴承滚动体与内、外圈的接触刚度与轴承整体的径向刚度、轴向刚度、角刚度的计算方法和相应程序。对7012/CD轴承的计算结果表明,轴承内圈外径的离心位移随转速增加而增大,在高速条件下其值较大,不容忽视;轴承内圈离心位移对内圈接触刚度和轴承径向刚度影响较大,导致内圈接触刚度和轴承径向刚度相对增大;对外圈的接触刚度、轴承轴向刚度和角刚度的影响很小;随着转速的增加与内圈离心位移的增大,对轴承内圈接触刚度与轴承径向刚度的影响会更加明显。因此,为使高速角接触球轴承的刚度分析更加精确、更加接近实际,必须考虑内圈离心位移的影响。     

Study of Conic Permanent Magnet Bearings

Due to recent advances in rare-earth technologies, application of permanent magnets has gained a new interest. As bearing elements, permanent magnets offer important advantages, such as the noticeable reduction of friction losses and the capability of achieving high speeds. A tapered geometry is investigated by means of finite element analysis and by a purpose-developed software based on magnetostatic integral equations. On the basis of the equivalent currents method, some basic relations have also been obtained that permit to study the influence of the magnetization angles, once four 'geometry' vectors are known. The present study may be used as a starting point for an optimization procedure on the shape and magnetization directions of permanent magnet bearings.     

磁性流体密封磁场的解耦计算

分析了磁性流体密封中的磁场与力场的耦合问题,采用边界逼近的迭代方法准确计算了磁场分布,进而求出了密封压差,分析了解耦计算与线性计算的差别.结果表明,随着磁性流体磁化强度的提高,解耦计算与线性计算的差别增大.     

Permanent Fronts in Two-Phase Flows in a Porous Medium

A family of exact solutions for a model of a one-dimensional horizontal flow of two immiscible, incompressible fluids in a porous medium, including the effects of capillary pressure, is obtained analytically by solving the governing singular parabolic nonlinear diffusion equation. Each solution has the form of a permanent front propagating with a constant velocity. It is shown that, for every propagation velocity, there exists a set of permanent fronts all of which are moving with this velocity in an inflowing wetting–outflowing non-wetting flow configuration. Global bifurcations of this set, with the front velocity as a bifurcation parameter, are investigated analytically and numerically in detail in the case when the permeabilities and the capillary pressure are linear functions of the wetting phase saturation. Main results for the nonlinear Brooks–Corey model are also presented. In both models three global bifurcations occur. By using a geometric dynamical system approach, the nonlinear stability of the permanent fronts is established analytically. Based on the permanent front solutions, an interpretation of the dynamics of an arbitrary front of finite extent in the model is given as follows. The instantaneous upstream (downstream) velocity of an arbitrary non-quasistationary front is equal to the velocity of a permanent front whose shape coincides up to two leading orders with the instantaneous shape of the non-quasistationary front at the upstream (respectively, downstream) location. The upstream and downstream locations of the front undergo instantaneous translations governed by modified nonsingular hyperbolic equations. The portion of the front in between these locations undergoes a diffusive redistribution governed by a nonsingular nonlinear parabolic diffusion equation. We have proposed a numerical approach based on a parabolic–hyperbolic domain decomposition for computing non-quasistationary fronts.     

数字式有源磁悬浮技术

介绍了数字式有源磁悬浮的应用背景和数字式有源磁悬浮的工作原理、元件结构设计、力的计算方法。实验证明，采用数字式有源磁悬浮技术提高了陀螺仪的精度，对陀螺仪性能的提升起到了关键的作用。     

Rayleigh-Taylor Instability of A Thin Magnetic Fluid Layer in A Tangential Magnetic Field

A viscous magnetic fluid layer in a uniform horizontal magnetic field is considered. The upper boundary of the layer is a horizontal rigid wall and the lower boundary a the free surface. It is assumed that at the initial instant the free surface represents a randomly weakly deformed horizontal plane. A dispersion relation for the waves in a layer of arbitrary thickness is obtained within the framework of the linearized system of ferrohydrodynamic equations describing the evolution of spatial perturbations. The effect of a tangential magnetic field on the breakdown of a thin layer is investigated theoretically and experimentally.     

Permanent Alteration of Porous Media Wettability from Liquid-Wetting to Intermediate Gas-Wetting

Wettability of Berea and low permeability reservoir rocks are permanently altered from liquid-wetting to intermediate gas-wetting. We use water and decane as model liquid, and air and nitrogen as model gas in the experiments. New chemicals with various functional groups are used in the wettability alteration. We perform compositional analyses of the treated chemical solutions extracted from rock treatment by gas chromatography–mass spectrometry (GCMS) and by inductively coupled plasma-mass spectrometry (ICPMS). The analyses demonstrate reaction between the chemicals and the rock substrate. There is no measurable change in permeability from the chemical reaction for the low molecular weight chemicals. The results reveal the permanent alteration of wettability. Tests are conducted to measure contact angle, spontaneous imbibition, and flow to assess the effect of wettability alteration on flow performance as a function of chemical concentration and functionality. For Berea, the contact angle for the water–air–rock is altered from 0° to ~150° depending on the chemical concentration. For the reservoir rock, the contact angle is altered from ~70° to ~130°. As a result of the treatment, the water flow rate may increase two and a half times for a given pressure drop in the Berea. The permanent alteration of wettability with the new chemicals is intended for prevention of water blocking in gas production from tight reservoirs. Instead of hydraulic fracturing when water is introduced in formations with most of the water retained by the water-wet rocks, one may use the new chemical surfactants in fracturing to avoid water retention for high gas well productivity.     

Head-Media Interaction in Magnetic Recording

The head‐tape interaction in magnetic recording is modelled by a coupled system of a second‐order differential equation for the pressure and a fourth‐order differential equation for the tape deflection. There is also the constraint that the spacing between the head and tape remains positive. In this paper, we study the stationary one‐dimensional case: We establish the existence of a smooth solution and a boundary layer phenomenon observed both numerically and experimently. The two‐dimensional case is briefly discussed. Accepted April 24, 1996     

Permanent Waves in Slow Free-Surface Flow of a Herschel–Bulkley fluid

Unsteady flow of a viscoplastic fluid on an inclined plane is examined. The fluid is described by the three-parameter Herschel–Bulkley constitutive equation. The set of equations governing the flow is presented, recovering earlier results for a Bingham fluid and steady uniform motion. A permanent wave solution is then derived, and the relation between wave speed and flow depth is discussed. It is shown that more types of gravity currents are possible than in a Newtonian fluid; these include some cases of flows propagating up a slope. The speed of permanent waves is derived and the possible surface profiles are illustrated as functions of the flow behavior index.