Precise asymptotics of complete moment convergence on moving average

Let {ξi,-∞i∞} be a doubly infinite sequence of identically distributed-mixing random variables with zero means and finite variances,{ai,-∞i∞} be an absolutely summable sequence of real numbers and X k =∑i=-∞+∞ aiξi+k be a moving average process.Under some proper moment conditions,the precise asymptotics are established for     

Topologically Mixing and Hypercyclicity of Tuples

In this paper,we characterize conditions under which a tuple of bounded linear operators is topologically mixing.Also,we give conditions for a tuple to be hereditarily hypercyclic with respect to a tuple of syndetic sequences.     

用于光电仪器和相关测量的自混合干涉技术（特邀）

回顾了一种全新结构的干涉仪—自混合干涉仪（SMI）的发展情况。SMI由于其在激光器外部无需任何光学元件且应用范围广泛而倍受关注。SMI可用于测量与光路长度有关的一些量（如位移、小幅度振动、速度）,也可用于测量弱光的回波（即回波损耗和隔离因子的测量）并可表征与介质相互作用特性相关的物理参数（如激光线宽、相干长度以及α因子等）。SMI是一种相干探测方法,其工作在靠近接收场的量子极限处,目前对散射目标物的最小探测幅值可达槡20 pm/（Hz）～（1/2）甚至更高,使用角锥棱镜使其计数步长为半波长,在动态范围为2 m时其分辨率约为0.5μm。另外,SMI结构紧凑、易于现场安装且可用于MEMS测试、旋转机械振动测试和生物运行测试等各种实验。     

用云纹干涉法测量和研究双层钴合金的挠度

运用云纹干涉原理对双层钴-合金材料进行三点弯曲试验,测试其常温与高温条件下的挠度值.通过大量试验,且与千分表测试的挠度值进行比较.结果表明,常温条件下的云纹测试挠度值与千分表法可以达到同样的精确度.同时,该实验方法体现了高温云纹干涉法在材料高温力学性能测试方面的优越性.高温云纹法是非接触式测量,在高温环境下有效地解决了量具高温变形的困难,且结合云纹图像可以对试件受力动态变形情况进行实时观测和分析,是一种较为精确测试常温及高温挠度的新方法.     

Hole-drilling method using grating rosette and Moiré interferometry

The hole-drilling method is one of the most wellknown methods for measuring residual stresses. To identify unknown plane stresses in a specimen, a circular hole is first drilled in the infinite plate under plane stress, then the strains resulting from the hole drilling is measured. The strains may be acquired from interpreting the Moire signature around the hole. In crossed grating Moire interferometry, the horizontal and vertical displacement fields （u and v） can be obtained to determinate two strain fields and one shearing strain field. In this paper, by means of Moire interferometry and three directions grating （grating rosette） developed by the authors, three displacement fields （u, v and s） are obtained to acquire three strain fields. As a practical application, the hole-drilling method is adopted to measure the relief strains for aluminum and fiber reinforced composite. It is a step by step method; in each step a single laminate or equivalent depth is drilled to find some relationships between the drilling depth and the residual strains relieved in the fiber reinforced composite materials.     

应用数字散斑相关技术研究缺口根部高温疲劳变形

应用数字散斑相关技术研究了耐热合金试件在450°环境中缺口根部的弹塑性变形及其与疲劳循环次数的相关性。疲劳试验在单边带缺口的拉伸板状试件上进行。试件由耐热合金GH4169材料制成,试件表面预先通过离子溅射法制作了离散的金粒散斑图。试验采用逐级循环加载和疲劳循环加载交替的方式进行。首先进行逐级循环加载,将最大载荷Pmax平均分成8级,由0逐级加载至最大载荷,再由最大载荷逐级卸载至0;同时由图像系统半自动地、连续同步地采集系列散斑图。然后按0→Pmax→0加载方式,连续进行250次疲劳循环加载。逐级循环加载和疲劳循环加载不断交替,直至疲劳断裂。利用数字散斑相关技术计算出缺口根部的弹塑性应变,进而求出缺口根部应变、名义迟滞回线面积及斜率与疲劳循环次擞的相关性。试验结果对于耐热合金材料的疲劳寿命研究很有意义。     

四次正多项式的正分解

研究次数为4的符号正多项式的正分解问题,得出四次正多项式分解为一次和三次正多项式乘积的充要条件．     

环形光纤激光器自混合散斑数值模拟及频谱性能分析

在环形激光器的理论基础上,结合环形掺铒光纤激光器自混合散斑速度传感实验系统,数值模拟了激光器自混合散斑信号的功率输出.分析了自混合散斑信号的平均散斑频率,频谱能量密度性能.研究结果表明,频谱平均频率与物体速度成近似的线性关系,频谱能量密度与探测距离成近似线性关系.     

Minimizing sequences of variational problems with small parameters

A class of variational problems with small parameters is studied. Their zeroth-order asymptotic solutions are constructed. It is shown that the zeroth-order asymptotic solution is just the minimizing sequence of variational problems as the small parameter approaches to zero.     

孔周弹塑性变形与疲劳循环次数的相关性

应用白光散斑相关技术研究了孔周弹塑性变形与疲劳循环次数的相关性,以便探索疲劳寿命的预测方法.疲劳实验在单边带缺口的拉伸板状试件上进行,试件由GH4169材料制成,试件表面上喷涂了白光散斑图.疲劳加载采用0→Pmax→0的循环加载方式,加载波形为正弦波,加载频率为10Hz.实验中,按一定的疲劳循环周次在零载及最大载荷两种状态下停机、采图.应用数字图像相关技术求出孔周附近的残余位移场,并应用逐点最小二乘法求出应变场.实验中获得了一些对于疲劳寿命研究很有意义的结果.