基于正态分布的逐批抽样检验贝叶斯控制图控制限研究

在生产条件受控的状态下,先验分布与后验分布应服从同一分布,在假设该分布为正态分布的前提下,根据贝叶斯理论推导出均值、极差和标准差的迭代计算公式,并依此计算控制图的控制限,使有效的先验批检验信息得到充分运用,弥补传统控制图在小批量生产环境下样本信息不足的缺点。研究发现,基于贝叶斯原理的统计控制图控制限随着检验批次的逐渐增加,更接近控制界限的实际值,比传统控制图的控制效果更加可靠、有效。     

建构主义下微积分教师的教学策略

建构主义主张学生是教学活动的认知主体,教师由传统的知识传授者转变为学生意义上建构的协助者和促进者,教学策略也发生显著变化.从教育者的角度出发,探讨了建构主义下微积分教师的教学策略.     

Transient analysis on surface heated piezoelectric semiconductor plate lying on rigid substrate

Based on the thermo-electro-elastic coupling theory, the mathematical model for a surface heated piezoelectric semiconductor (PS) plate is developed in the time domain. Applying the direct and inverse Laplace transformations to the established model, the mechanical and electrical responses are investigated. The comparison between the analytical solution and the finite element method (FEM) is conducted, which illustrates the validity of the derivation. The calculated results show that the maximum values of the mechanical and electrical fields appear at the heating surface. Importantly, the perturbation carriers tend to concentrate in the zone near the heating surface under the given boundary conditions. It can also be observed that the heating induced elastic wave leads to jumps for the electric potential and perturbation carrier density at the wavefront. When the thermal relaxation time is introduced, all the field quantities become smaller because of the thermal lagging effect. Meanwhile, it can be found that the thermal relaxation time can describe the smooth variation at the jump position. Besides, for a plate with P-N junction, the effect of the interface position on the electrical response is studied. The effects of the initial carrier density on the electrical properties are discussed in detail. The conclusions in this article can be the guidance for the design of PS devices serving in thermal environment.     

Novel spatial solitons in light-induced photonic bandgap structures

The study of wave propagation in periodic systems is at the frontiers of physics, from fluids to condensed matter physics, and from photonic crystals to Bose-Einstein condensates. In optics, a typical example of periodic system is a closely-spaced waveguide array, in which collective behavior of wave propagation exhibits many intriguing phenomena that have no counterpart in homogeneous media. Even in a linear waveguide array, the diffraction property of a light beam changes due to evanescent coupling between nearby waveguide sites, leading to normal and anomalous discrete diffraction. In a nonlinear waveguide array, a balance between diffraction and self-action gives rise to novel localized states such as spatial “discrete solitons” in the semi-infinite (or total-internal-reflection) gap or spatial “gap solitons” in the Bragg reflection gaps. Recently, in a series of experiments, we have “fabricated” closely-spaced waveguide arrays (photonic lattices) by optical induction. Such photonic structures have attracted great interest due to their novel physics, link to photonic crystals, as well as potential applications in optical switching and navigation. In this review article, we present a brief overview on our experimental demonstrations of a number of novel spatial soliton phenomena in light-induced photonic bandgap structures, including self-trapping of fundamental discrete solitons and more sophisticated lattice gap solitons. Much of our work has direct impact on the study of similar discrete phenomena in systems beyond optics, including sound waves, water waves, and matter waves (Bose-Einstein condensates) propagating in periodic potentials.      

中能重离子微束辐照装置的研制

微束辐照装置是将辐照样品的束斑缩小到微米量级,能够对辐照粒子进行准确定位和精确计数的实验平台,是开展辐照材料学、辐照生物学、辐照生物医学以及微加工的有力工具.中国科学院近代物理研究所(IMP)正在研制中能重离子微柬辐照装置.该装置以兰州重离子加速器(HIRFL)系统提供的中能和低能重离子束流为基础,采用磁聚焦方式形成微米束.束运线上两台铅垂方向的偏转磁铁辅以四极磁铁构成对称消色差系统,将束流导向地下室,再用高梯度的三组合四极透镜强聚焦形成微米束斑,在真空中或大气中辐照样品.它将成为国内首台能够提供从低能(10MeV/u)到中能(100MeV/u)的重离子微束的公共实验平台,用于定位、定量照射靶物质(生物细胞、组织或其它非生物材料等),有助于深入揭示重离子与物质相互作用的本质,也为探索重离子辐照效应的应用提供新的手段.     

NON-LINEAR VIBRATION AND THERMAL BUCKLING OF AN ORTHOTROPIC ANNULAR PLATE WITH A CENTRIC RIGID MASS

A computational analysis of the non-linear vibration and thermal post-buckling of a heated orthotropic annular plate with a central rigid mass is examined for the cases of immovably hinged as well as clamped constraint conditions of the outer edge. First, based on von Karman's plate theory and Hamilton's principles, the governing equations, in terms of the displacements of the middle plane, of the problem are derived. Then, upon assuming that harmonic responses of the system exist, the non-linear partial differential equations are converted into the corresponding non-linear ordinary differential equations through elimination of the time variable by using the Kantorovich time-averaging method. Finally, by applying a shooting method, the fundamental responses of the non-linear vibration and thermal post-buckling of the plate are numerically obtained. For some prescribed values of the parameters, such as the material rigidity ratio, temperature rise and so on, the curves of the fundamental frequency versus specified amplitude and the thermal post-buckled equilibrium paths of the plate are numerically presented.     

基于SOS的脉冲功率源技术新进展

 研制了基于SOS的胡杨200和胡杨700脉冲功率源。给出了胡杨200和胡杨700的电路原理、组成结构和实验波形。介绍了在SOS脉冲功率源上开展的高重复频率强流电子束产生、长寿命阴极实验、绝缘介质的高重复频率击穿实验和低引导磁场无箔二极管等实验研究进展。经测试，胡杨200在2 kHz重复频率、负载阻抗200 Ω下，输出电压200 kV，脉冲宽度约35 ns，平均输出功率大于10 kW；在300 Hz条件下可连续运行。胡杨700同样为全固态脉冲功率源，其设计指标:输出电压700 kV，电流5 kA，脉冲宽度约40 ns；经初步调试在150 Ω电阻负载上单脉冲输出指标达到660 kV，4.4 kA，脉宽约70 ns。