工程施工路径相关性的数值仿真

本文将损伤理论与时变力学耦联,形成用于模似施工的损伤时变力学方法,文中推导了基本方程和数值化算式。利用时变分析法对某地下煤层开采过程进行计算机仿真分析,给出了三种不同路径下开采引起地表沉陷的时空演化图,并进行对比分析。对体现出的位移、损伤与施工路径相关现象进行了探讨,并定量给出损伤时变分析下不同开采路径造成的最终力学状态的差别。本文中损伤时变力学方法为施工过程分析提供了一种新方法与手段。     

新型精铸热锻模具钢高温磨损性能同其显微组织的相关性

研究了经不同热处理条件下的新型精铸热锻模具钢的组织同其高温磨损性能的相关性,对比分析了新型铸钢与H13锻钢的高温磨损性能,并探讨了其磨损机理.结果表明:新型精铸热锻模具钢的高温耐磨性能明显优于锻钢H13;在马氏体、贝氏体和马贝复相3种组织中,贝氏体和马贝复相的高温耐磨性能较好,马氏体相的高温耐磨性能最差;经过400～620℃回火处理的新型精铸热锻模具钢的硬度为42～43HRC,高温耐磨性能较好;当回火温度大于650℃或小于400℃时,新型精铸热锻模具钢的磨损率明显增大,耐磨性显著降低.     

闭壳层原子相关效应的多体理论计算：Ne原子基态相关能

对coupled-pair many-electron theory(CPMET)展开中的非线性四体效应采取了近似处理,用角动量图技术和两体函数方法得到了适用于一般闭壳层原子的径向微分方程。然后以X_a模型作为零级近似,通过迭代求解成功地计算了Ne原子基态的任意阶相相关能,从而说明至少对于闭壳层原子体系而言,用X_a模型作零级近似同样可以进行成功的多体理论计算。     

Strong Correlation of Fluorescence Photons without Quantum Interference

It has been predicted that a driven three-level V atom can emit strongly correlated fluorescence photons in the presence of quantum interference. Here we examine the effects of quantum interference on the intensity correlation of fluorescence photons emitted from a driven three-level A atom. Unexpectedly, strong correlation occurs without quantum interference. The quantum interference tends to reduce the correlation function to a normal level. The essential difference between these two cases is traced to the different effects of quantum interference on coherent population trapping （OPT）. For the V atom, quantum interference and coherent excitation combine to lead to OPT. For the A atom, however, the quantum interference tends to spoil OPT while the coherent excitation induces the effect.     

The relationship between acoustic radiation modes and structural modes and its applications

Both acoustic radiation modes and structural modes play an important role in the field of structure-borne sound, however, little work has been done for inherent relations between these two kinds of modes. This paper is focused on the relationship between the radiation modes and structural modes and its physical mechanisms. First, a governing equation for relating the radiation mode and structural mode is given based on the characteristics of the modes. Then, using the symmetric or anti-symmetric properties of two kinds of modes, the corresponding relations are presented. And then, numerical examples are given to verify the theoretical investigations, and it has been shown that, for a simply supported rectangular panel vibrating at low frequencies, the first radiation mode is dominant corresponding to (odd, odd) structural modes; the following radiation modes are respectively dominant corresponding to (even, odd), (odd, even), and (even, even) structural modes. Finally, such relations are applied to active acoustic structural control and provide a direct help for the design of active control strategy and arrangement of the secondary forces.     

三元复合体系油水界面张力与乳化程度关系研究

通过用不同界面张力体系和原油进行乳化实验,制备出一系列不同数量级的界面张力值和不同乳化效果的样品。并且考察了样品界面张力性能和乳化性能的对应关系。研究了界面张力性能和乳化程度的关系。     

金属氧化物半导体场效应管热载流子退化的1/fγ噪声相关性研究

研究了金属氧化物半导体(MOS)器件在高、中、低三种栅压应力下的热载流子退化效应及其1/fγ噪声特性.基于Si/SiO2界面缺陷氧化层陷阱和界面陷阱的形成理论,结合MOS器件1/f噪声产生机制,并用双声子发射模型模拟了栅氧化层缺陷波函数与器件沟道自由载流子波函数及其相互作用产生能级跃迁、交换载流子的具体过程.建立了热载流子效应、材料缺陷与电参量、噪声之间的统一物理模型.还提出了用噪声参数Sfγ表征高、中、低三种栅应力下金属氧化物半导体场效应管抗热载流子损伤能力的方法.根据热载流子对噪声影响的物理机制设计了实验并验证这个模型.实验结果与模型符合良好.     

Energy dependence of non-linear dynamical features in e^＋e^- collisions

A study of the d.ynamical fluctuation properties at various c.m.energies in e~ e~- collisions is performed using the Monte Carlo method.The results suggest that,after the normalized factorial moments of 3-dimensional phase space are analyzed using an isotropical phase space partition,the NFM describing non- linear dynamical properties show a power-law scaling,i.e.,the dynamical fluctuations in higher dimensional phase space are isotropic.For c.m.energies s~(1/2)≤80 GeV,the scaling exponentsφ_q increase rapidly with the c.m.energy and for c.m.energies s~(1/2)>80 GeV,theφ_q gradually saturate.     

重建有心圆锥曲线的统一定义——兼谈有心圆锥曲线间的轨迹相关性

几年后重读《数学通报》2000年第2期李恒德老师《圆锥曲线间的一种轨迹相关性及其几何特征》一文时,对圆锥曲线间的相关性的讨论方法又有了新的想法——重建有心圆锥曲线的统一定义,然后依据定义来讨论圆锥曲线间的相关性,现草就成文供大家批评指正.     

多维随机变量的线性相关性

本文研究了n维随机变量分量间的线性相关性,给出了衡量线性相关性程度的量以及具有(在概率1意义下)严格线性关系的充分必要条件.