Mechanical behaviour of the upper layers of a sandy loam soil under shear loading

The mechanical behaviour of the upper layers of a sandy loam soil was studied under standard triaxial compression and direct shear box tests. Variations of soil material properties were investigated at four different initial dry bulk densities of 1410, 1520, 1610 and 1670 kg/m³. Soil deformation and volume change under the triaxial compression loading were also studied at these bulk densities. Results from the two tests showed increases in the soil mechanical properties with the initial dry bulk density. The internal friction angle values measured with the triaxial compression apparatus exceeded those measured with the direct shear box. In contrast, the soil cohesion values measured with the direct shear box exceeded those measured with the triaxial compression apparatus. Under the triaxial compression test, the loose soil samples underwent contraction and volume reduction, whereas the dense samples swelled and failure cracks appeared clearly at various planes. The soil contraction for the former case characterizes the occurrence of soil compaction, whereas the cracks propagation and volume increase in the latter case characterizes the breaking up and loosening of soil during tillage operations. For the loose and moderately compacted states, the engineering Poisson's ratio increased with the axial strain until loading was completed. It also increased at the compacted and very compacted states until reaching given loading stages, after which its value started to decrease. This shifting in the engineering Poisson's ratio during loading may provide another identification of the moment of soil failure occurrence, in addition to that of the maximum shear stress.     

关于城市出租车规划的模型及应用

运用增长率法,建立指数增长的模型,结合规划期的人口规模,预测规划期的居民出行量和居民出行强度,以及乘坐出租车人口,随后利用出租车空载率为主要参数,建立数学模型并预测出租车的最佳数量.利用经济学分析方法,用埃奇沃思盒式图描述交易双方的福利变化,建立均衡时的价格竞争模型,寻求使司机和乘客达到帕累托改进的可能性.分别就油价调整前后的情况,找出调整起租基价和综合单位里程车价能使双方都满意的次优方案.进一步分析了起租基价和里程的合理性,提出了数据采集的建议和方案,并向市公用事业管理部门概括介绍.模型对确定其他类似准公共产品的供应量和定价也具有一定的借鉴意义.     

On rigorous mathematical definitions of correlation dimension and generalized spectrum for dimensions

We consider different definitions of the correlation dimension and find some relationships between them and other characteristics of dimension type such as Hausdorff dimension, box dimension, etc. We also introduce different ways to define and study the generalized spectrum for dimensions—a one-parameter family of characteristics of dimension type.     

InGaN/GaN MQD p–n junction photodiodes

The p–n junction photodiodes with InGaN/GaN MQD have been prepared by metal-organic chemical vapor deposition (MOCVD) growth; we achieved nanoscale InGaN self-assembled QDs in the well layers of the active region. The RT PL spectrum peak position for the fabricated InGaN/GaN MQD p–n Junction PDs is located at 464.6 nm and FWHM is 24.2 nm. After finishing device process, it was fond that the turn on voltage in forward bias and the break down voltage in reverse bias are about 3 and −13.5 V, respectively. Furthermore, with 1, 2, and 3 V applied bias, the maximum responsivity of the fabricated MQD p–n junction PD was observed at 350 nm, and the minimum of spectral response was measured at 465 nm. It was also found that the responsivity was nearly a constant from 390 to 440 nm. It seems to suggest that the spectral response in the range of 390–440 nm is due to the effect of the InGaN dots-in a-well active layers.     

A Limited-Memory Multipoint Symmetric Secant Method for Bound Constrained Optimization

A new algorithm for solving smooth large-scale minimization problems with bound constraints is introduced. The way of dealing with active constraints is similar to the one used in some recently introduced quadratic solvers. A limited-memory multipoint symmetric secant method for approximating the Hessian is presented. Positive-definiteness of the Hessian approximation is not enforced. A combination of trust-region and conjugate-gradient approaches is used to explore useful information. Global convergence is proved for a general model algorithm. Results of numerical experiments are presented.     

反射法间接测量物体形状问题的分析--第六届亚洲物理奥林匹克竞赛实验试题之一

介绍了第六届亚洲物理奥林匹克竞赛实验试题中光学黑盒子实验,该题利用光反射方法,判断黑盒子里物体形状,其貌似简单,但要得到好的结果需要有创造性的思维.本文给出了该题实验分析及结果.     

钢筋混凝土箱梁开裂后剪力滞效应的研究

本文用级数分析方法分析了钢筋混凝土箱梁开裂后的剪力滞效应,推得了剪滞应力公式.根据应力公式,本文还探讨了剪力滞效应随配筋率ρ等的变化情况.     

高温超导电缆液氮流道试验装置的设计计算

为了进行高温超导电缆冷却通道方式的实验比较 ,确定通道的结构形式 ,获得理论计算的试验值 ,为长距离电缆设计提供实验依据 ,建立了高温超导电缆液氮流道试验装置。文中叙述了流道试验装置的设计指标、系统流程、设计概算、试验装置主要设备设计计算以及调试结果等。     

多室正交异性板箱形梁桥剪滞的半解析法

将带有纵向加劲肋的多室梯形箱形梁桥作为正交异性板折板结构考虑,采用艾瑞应力函数法给出了平面应力状态时正交异性板一般边界条件下的二维应力及位移的解析表达式一般形式。然后根据板梁在二者连接处的纵向线应变与侧向曲率两个形变协调条件解出了多室正交异性板箱形梁桥的应力分布与剪力滞后的半解析公式,使用时采用类似于有限条法的步骤计算,但输入数据和运算时间却很少。该方法兼有解析法精确条理与数值法方便灵活的特点,可推广应用于高层筒体结构和带有曲线预应力钢索的箱形梁桥等。     

Discreteness of space from GUP II: Relativistic wave equations

Various theories of Quantum Gravity predict modifications of the Heisenberg Uncertainty Principle near the Planck scale to a so-called Generalized Uncertainty Principle (GUP). In some recent papers, we showed that the GUP gives rise to corrections to the Schrödinger equation, which in turn affect all quantum mechanical Hamiltonians. In particular, by applying it to a particle in a one-dimensional box, we showed that the box length must be quantized in terms of a fundamental length (which could be the Planck length), which we interpreted as a signal of fundamental discreteness of space itself. In this Letter, we extend the above results to a relativistic particle in a rectangular as well as a spherical box, by solving the GUP-corrected Klein–Gordon and Dirac equations, and for the latter, to two and three dimensions. We again arrive at quantization of box length, area and volume and an indication of the fundamentally grainy nature of space. We discuss possible implications.