Volterra核函数法在轴承滚珠磨损中的特征提取及应用

针对滚动轴承滚珠磨损故障特征难以提取的问题,提出一种基于多脉冲激励法下的Volterra级数核的求解算法.该方法是一种非线性系统模型的“交叉”诊断法,利用轴承系统输入输出的采样信号,建立Volterra非线性辨识系统模型,并运用多脉冲激励Volterra低阶核求解算法,将得到的低阶核通过时域和频域进行对比来判断轴承当前所处的运行状态.该文以无心车床主轴轴承为例进行实验验证,并与传统的小波分析法对比得出:多脉冲激励法能够方便准确地提取轴承的故障特征,该方法对此类故障的诊断具有一定的借鉴意义.     

三种典型磨粒磨损磨屑形成过程的研究

作者利用扫描电子显微镜、光学显微镜和计算机图象分析系统,对3种典型磨粒磨损磨屑的形成特点和典型试验条件下材料的磨粒磨损过程进行了研究。结果表明,在磨粒磨损条件下,典型的磨屑形态主要是切屑和块状屑,同时还有极少量的球状屑和花状屑。作者指出,切屑和块状屑分别是磨粒与被磨材料表面一次和多次相互作用的产物。在三体磨粒磨损条件下,切削是造成编号为2M和3M等硬质材料磨损的主要原因,也是4M和几种奥氏体锰钢在高载荷下磨损的重要形式;块状屑的形成是塑性较好的材料在各种磨损条件下磨损的主要形式。球状屑的形成是磨粒与被磨材料表面的接触点产生高温致使材料熔化的结果。球状屑一般是中空且表面有很多孔洞的球壳,其形成与气体有关。     

具多重氢键寡聚芳酰胺的合成及自组装

含六重氢键寡聚芳酰胺双分子链在没有相应互补链的情况下, 其中一条链发生自组装. 通过紫外-可见(UV-Vis)光谱、动态光散射(DLS)、扫描电镜(SEM)和透射电镜(TEM)等实验手段, 对其自组装行为进行了研究. 实验结果表明, 在1,2-二氯乙烷中随温度升高在紫外区吸收发生蓝移, 说明酰胺自组装体部分解聚. 该分子链在不同极性的溶剂中都能发生自组装, 并随极性不同表现为不同的形貌. 如在甲苯中呈网状结构, 在极性相对较弱的二氯甲烷和环己烷的混合溶剂中为不规则的蜂窝状结构, 而在三氯甲烷和甲醇组成的极性混合溶剂中则组装成稳定的实心微球, 其直径随着浓度升高而增大, 通过在乙腈中的降温过程, 观察到组装体形貌由管状纤维向实心球的转变.     

Green functions of the spectral ball and symmetrized polydisk

The Green function of the spectral ball is constant over the isospectral varieties, is never less than the pullback of its counterpart on the symmetrized polydisk, and is equal to it in the generic case where the pole is a cyclic (non-derogatory) matrix. When the pole matrix is derogatory, the inequality is always strict, and the difference between the two functions depends on the multiplicity of the eigenvalues as roots of the minimal polynomial of that matrix. In particular, the Green function of the spectral ball is not symmetric in its arguments. Additionally, some estimates are given for invariant functions in the symmetrized polydisc, e.g. (infinitesimal versions of) the Carathéodory distance and the Green function, that show that they are distinct in dimension greater or equal to 3.     

Radial symmetry and regularity of solutions for poly-harmonic Dirichlet problems

Let B=B₁(0) be the unit ball in Rn and r=|x|. We study the poly-harmonic Dirichlet problem

     

多复变中正规权Zygmund空间上的几个性质

本文讨论了多复变中单位球上正规权Zygmund空间Z_μ(B)的一些性质.首先给出了Z_μ(B)函数的一种积分表示,接着证明了Z_μ(B)是正规权Bergman空间A_v~1(B)的对偶空间,其对偶对按如下形式给出:■,其中v(p)=(1-ρ~2)~(β+1)μ~(-1)(ρ)(0≤ρ<1)并且β>max{0,b-1}.最后作为积分表示和对偶的一个应用,作者给出了Z_μ(B)中每个函数的一个原子分解.     

On Compressible Smooth Viscous Fluids in Slowly Expanding Balls

In[17]and[19,20],the global existence and large time behaviors of smooth compressible fluids(including inviscid gases of Euler equations,viscous gases of Navier-Stokes equations,and rarified gases of Boltzmann equation,respectively)have been established in an infinitely expanding ball with a constant expansion speed.This paper concerns with the viscous fluids in a slowly expanding ball.By involved analy-sis on the density function and the weighted energy estimates,we show that the fluid in the slowly expanding ball smoothly tends to a vacuum state and there is no appearance of vacuum in any part of the expansive ball.Our present result is a meaningful supplement to the one in[19].     

柴油舱组集中透气管燃爆危险性及阻隔防爆技术

对常温常压下柴油舱组集中透气管中柴油蒸汽的燃爆危险性以及阻隔防爆技术的抑爆效能开展了实验研究。利用nac HX-3高速相机和CY-YD-205压力传感器记录燃爆传播过程和爆炸超压,阻隔防爆装置分别采用新型抑爆小球和普通波纹型阻火器。结果表明:常温常压下,一旦柴油油舱发生爆炸,爆炸火球可以通过透气管传播到相邻油舱,并引起二次爆炸,具有较大的危险性;普通波纹型阻火器在爆炸过程中阻火失效,而新型抑爆小球具有较好的抑爆效果;相对于光滑透气管工况,在点火舱上方安装抑爆小球后,被点火舱内的最大爆炸超压可以显著地从552.5 kPa降低到35.0 kPa;抑爆小球的中空多孔结构是其阻隔防爆的关键,多孔结构不仅可以增大比表面积、扩大热损失,而且还可以有效地分割削弱反应面。     

Disordered Magnetic Phase in Partially Oxidized Bulk Nanocrystalline Iron

Magnetically frozen partially disordered state was observed in nanocrystalline bulk iron prepared by ball-milling of microcrystalline Fe. Role of nanostructure and oxidized fraction is pointed out. Altough we have found a small constituent which is proportional to 1/T in the ZFC curve, the magnetization scaling with T ^3/2 at high fields and the hysteretic behavior in FC-ZFC curves signalizes the presence of frozen ferromagnet at low temperatures.     

Small ball probabilities for Gaussian processes with stationary increments under Hölder norms

Small ball probabilities are estimated for Gaussian processes with stationary increments when the small balls are given by various Hölder norms. As an application we establish results related to Chung's functional law of the iterated logarithm for fractional Brownian motion under Hölder norms. In particular, we identify the points approached slowest in the functional law of the iterated logarithm.Supported in part by NSF Grant DMS-9024961.