用切比雪夫多项式研究短梁的弯曲计算

考虑剪切效应,利用切比雪夫多项式构造严格满足表面切应力边界条件的轴向位移表达式,建立了短梁弯曲问题的新理论．利用奇异函数把作用在短梁上的复杂外载荷表示为分布载荷,推导出了短梁弯曲时的截面正应力公式及挠曲线表达式．把采用切比雪夫多项式推导出短梁的弯曲计算公式计算结果与弹性理论计算结果进行比较,可知该方法的计算精度较高．研究结果表明：在复杂外载荷作用下,当长高比小于等于6时,剪切变形对梁的弯曲挠度影响较大,而当长高比小于3时,剪切变形对梁的弯曲应力影响较大;因此建议采用切比雪夫多项式方法给出的挠度表达式、弯曲应力进行计算,因为切比雪夫多项式方法不但给出了复杂外载荷作用下梁截面挠度、弯曲应力的计算通式,而且该方法具有计算过程简便、精度高的优点．     

手机短信息传播过程和短信息寿命研究

比较了短信息在无标度网络、小世界网络和实际的短信息网络三种网络中的传播过程,寻找影响短信息传播的因素.研究发现,网络拓扑结构和手机用户的转发短信行为均会影响短信息传播过程.在无标度网络中短信息传播速率快于小世界网络和实际的短信息网络,而无标度网络的短信息寿命较小世界网络和实际的短信息网络短;网络中手机用户的转发短信息行为明显影响短信息的传播过程.同时还发现短信息寿命与网络直径有关. 关键词： 复杂网络 短信息 信息传播 人类行为     

太阳能电池基本特性测定实验 --一个与能源利用有关的综合设计性实验

“太阳能电池基本特性测定”是与能源利用有关的新的综合性设计实验．本文简述了该实验的原理、实验方法及测量结果,得出了太阳能电池基本参数短路电流Iac,开路电压Uoc与太阳能电池接收到的相对光强度J／Jn的近似函数关系。     

正相高效液相色谱法分离检测壬基酚和短链壬基酚聚氧乙烯醚

建立了一种以正相高效液相色谱等强度洗脱分离检测壬基酚和短链壬基酚聚氧乙烯醚的新方法。采用Cosmosil5SL-Ⅱ(250mm×4.6mmi.d,5μm)色谱柱,以乙酸乙酯-乙醇为流动相,流速1.0mL/min,281nmUV检测,在10min内可分离检测p-壬基酚以及短链壬基酚聚氧乙烯醚混合物的3种主要组分。运用本方法对NP,NPnEO(n=1~3)进行测定的相对标准偏差分别为1.4%、1.6%、2.5%和1.4%;检出限分别为0.1mg/L(NP)和0.5mg/L(NPnEO),重复性好且灵敏度高。     

Rapid determination of short-chain fatty acids in colonic contents and faeces of humans and rats by acidified water-extraction and direct-injection gas chromatography

Short-chain fatty acids (SCFAs) have attracted much attention recently because of their positive physiological effects. In this work, a rapid and reliable gas chromatographic method for determination of eight SCFAs, in colonic and faecal samples from rats and humans has been developed and validated. The methodology involves extraction of the SCFAs in water before a direct injection procedure on a FFAP capillary column. A stock standard solution containing acetic acid, propionic acid, n-butyric acid, i-butyric acid, n-valeric acid, i-valeric acid, n-caproic acid and n-heptanoic acid was prepared and used. A high linearity (r2 > 0.9990), low quantification limit (2.38-30.14 microm) and high recovery for most acids were obtained. Acidification of faecal samples was found to be crucial for quantitative determination of the SCFAs, and adjustment of pH to 2-3 was regarded as necessary. Glass wool inserted in the glass liner of the injection port proved effective in preventing the contamination of the column by non-volatiles, and 12% formic acid reduced the ghost peak that appeared gradually after several injections. After validation, the methodology was applied on two faecal samples from rats fed diets containing different amount of dietary fibre and one faecal sample from human fed a normal diet to test the accuracy of the developed method.     

Sums of nine almost equal prime cubes

We prove that each sufficiently large odd integer N can be written as sum of the form N = p1^3 ＋p2^3 ＋... ＋p9^3 with [pj - （N/9）^1/31 ≤ N^（1/3）-θ, where pj, j = 1,2,...,9, are primes and θ = （1/51） -ε.     

固相萃取-气相色谱-质谱法测定皮革制品中短链氯化石蜡

短链氯化石蜡（SCCPs）是我国皮革加脂过程中常用的添加剂,但近年已被欧盟等列为禁止使用的持久性有机污染物。由于SCCPs结构复杂,且皮革基质干扰严重,目前尚没有完善的皮革制品中SCCPs的标准检测方法。本文采用硅胶为固相萃取柱萃取,以正己烷-二氯甲烷（2:1,v/v）为洗脱剂,使SCCPs与皮革基质中的干扰组分完全分离,建立了用于测定皮革制品中SCCPs的固相萃取-气相色谱-质谱方法。该方法的回收率为90.47%~99.00%,检出限为0.069~0.110 mg/kg,相对标准偏差（RSD）为4.20%~6.69%。该方法适用于皮革中SCCPs的定性、定量分析。     

模拟退火遗传算法在多声源定位中的应用

利用声源定位技术测量弹丸落点坐标时,针对多发炮弹短间隔连续射击试验中,传感器接收信号的时序关系复杂,严重影响声源定位结果准确性的问题,提出了采用模拟退火遗传算法实现短间隔连续多声源目标的精确定位。试验测试了发射间隔为0.15 s的7发炮弹在600 m×600 m区域内的定位情况,结果表明:文章的算法能快速有效的对短间隔连续多声源目标进行定位解算,定位精度小于5 m。     

矿山尾矿中微量银元素快速检测方法的研究

针对矿山尾矿中微量银元素测定的技术难题,提出了一种基于超短光路原理的能量色散X荧光能谱快速检测的方法。提高元素测量分辨率,提高样品分析效率,降低光管功率,延长仪器使用寿命。能谱系统优化了滤片以及探测器屏蔽物等设计,准直器采用对X射线基本无散射的聚四氟乙烯,达到微量银元素的检测要求。实际尾矿测试中,银的检出限达到0.1 mg·kg-1,RSD在0.1%～2.6%之间,准确度在87%～115%之间。对比尾矿、原矿及精矿的检测实验,证明了在能量色散X荧光能谱中引入超短光路设计方法,能够提升系统峰/本底比,满足微量银元素的检测要求。     

The structure and vibrational features of proton disolvates in water–ethanol solutions of HCl: the combined spectroscopic and theoretical study

The infrared (IR) spectra of water–ethanol (EtOH) solutions of HCl are measured over a wide range of acid concentration at fixed H₂O―EtOH ratios (1 : 1, 1 : 2, and 1 : 40). In these systems, different proton disolvates with (quasi)symmetrical H‐bonds are formed. Their structure and vibrational features are revealed by the density functional theory method coupled with the polarizable continuum model of solvation. In dilute acidic solutions, the Zundel‐type H₅O₂⁺ ion is mainly formed. In concentrated HCl solutions, the ions (H₂O···H···O(H)Et)⁺ and (Et(H)O···H···O(H)Et)⁺ with the quasi‐symmetrical O···H⁺···O unit having O···O separation <2.45 Å appear. The first ion characterized by the IR‐intensive band around 1800 cm^?1 is mainly formed in the 1 : 1 water–ethanol systems. The second ion exists in the 1 : 2 and 1 : 40 water–ethanol systems. Its spectroscopic signatures are the groups of the IR‐intensive bands around 800 and 1050 cm^?1. In highly concentrated HCl solutions with the 1 : 40 water–ethanol ratio, a neutral Et(H)O···H⁺···Cl^? complex exists. Copyright © 2013 John Wiley & Sons, Ltd.