G-M制冷机驱动设计

为了使G-M制冷机在一定的氦气循环压力下提升制冷速度,通过对G-M制冷机(CTI-350C型)进行分析,运用变频和移相手段,设计并研制了低成本、便携的小型制冷机驱动,在输出频率为50 Hz时,制冷机空载条件下降温时间与M600压缩机驱动时降温时间相同;在60 Hz和70 Hz时,缩短了制冷机在空载条件下的降温时间20%以上,并具有过载保护功能。     

无侧移半刚性连接组合框架的稳定分析:(Ⅰ)柱的有效长度系数方程

本文基于钢结构设计规范GB50017-2003,利用三柱子框架模型,考虑了连接的非线性弯矩-转角关系和楼板组合效应的影响,推导了无侧移半刚性连接组合框架柱的有效长度系数方程式,同时考虑了梁端和柱远端不同约束情况对有效长度系数的影响。另外,分析了GB50017规范附录D表D-1求解的精确性。研究表明,当柱远端刚接时,推导的方程式类似于GB50017规范附录D表D-1给出的无侧移刚接框架柱的有效长度系数计算公式;对于三柱子框架模型,当柱远端铰接时,用GB50017规范附录D表D-1得到的有效长度系数设计柱是不安全的,但最大误差只有11%。     

基于黄酮的ESIPT型荧光探针检测三苯基膦

三苯基膦(PPh3)是一种重要的有机化合物,具有亲核性和还原性,已被广泛用于有机合成和有机金属化合物配位中。然而PPh3的过量使用不可避免地会引起环境的污染,并且对人体的健康也具有潜在威胁。因此我们迫切需要一种方便而高效的检测PPh3的方法。已有检测方法在便捷性和灵敏性等方面不如人意,而小分子荧光探针因其灵敏度高、选择性好、检测简单等优点受到广泛关注。受生物标记领域常用的无痕Staudinger连接反应的启发,本文设计合成了一个类似Staudinger连接反应,以能够具有固态发光性质的激发态分子内质子转移(ESIPT)特性的3-羟基黄酮荧光染料为母核,以邻叠氮苯乙酸酯为识别基团,用于检测PPh3的荧光增强型的探针分子。通过叠氮与PPh3反应,经过氮杂叶立德中间体,进行快速的分子内酰胺化,释放3-羟基黄酮染料并恢复荧光发射,从而实现在溶液中及滤纸上快速检测PPh3的目的。该探针在定量和定性检测PPh3方面具有潜在应用价值。     

层裂的分形机理及分维和连接阈值的关系

通过对微裂纹连接的动力学分析，提出了描述层裂损伤演化的统计分形模型，指出分形层裂面的形成机理与层裂中微裂纹级串连接的动力学过程密切相关，由此，得到了一种单峰的分维－连接阈值关系，定性解释了分维随专心韧性单峰变化的实验现象。     

Test analysis of detection of damage to a complicated spatial model structure

A two-stage damage detection approach is proposed and experimentally demonstrated on a complicated spatial model structure with a limited number of measurements. In the experiment,five known damage patterns,including 3 brace damage cases and 2 joint damage cases,were simulated by removing braces and weakening beam-column connections in the structure. The limited acceleration response data generated by hammer impact were used for system identification,and modal parameters were extracted by using the eigensystem realization algorithm. In the first stage,the possible damaged locations are determined by using the damage index and the characteristics of the analytical model itself,and the extent of damage for those substructures identified at stage I is estimated in the second stage by using a second-order eigen-sensitivity approximation method. The main contribution of this paper is to test the two-stage method by using the real dynamic data of a complicated spatial model structure with limited sensors. The analysis results indicate that the two-stage approach is ableto detect the location of both damage cases,only the severity of brace damage cases can be assessed,and the reasonable analytical model is critical for successful damage detection.     

一道中考压轴题的求解途径及其拓展

题目 (2010年上海市中考数学第25题)如图1,在Rt△ABC中,∠ACB=90°,半径为1的⊙A与边AB相交于点D,与边AC相交于点E,连接DE并延长,与线段BC的延长线交于点P.(1)当∠B=30°时,连接AP,若△AEP与△BDP相似,求CE的长;(2)若CE=2,BD=BC,求∠BPD的正切值;(3)若tan∠BPD=1/3,设CE=x,△ABC的周长为y,求y关于x的函数关系式.     

巧用梯形中位线证线段a=b+c一例

例(2010江苏省徐州市)如图1,将边长为4cm的正方形纸片ABCD沿EF折叠(点E、F分别在边AB、CD上),使点B落在AD边上的点M处,点C落在点N处,MN与     

这道题可以推广

一、原题《中学生数学》2011(3)·P9《由角平分线的性质想到的辅助线》中例题:如图1,△ABC中,∠ABC=100°.∠ACB的平分线交AB于E,在AC上取点D,使∠CBD=20°,连接DE,求∠CED的度数.二、推广如图2,△ABC中,∠ACB的平分线交AB     

Geometric realization of Adams maps

Let G/P be a homogenous space with G a compact connected Lie group and P a connected subgroup of G of equal rank. As the rational cohomology ring of G/P is concentrated in even dimensions, for an integer k we can define the Adams map of type k to be l _k : H*(G/P, ℚ) → H*(G/P, ℚ), l _k (u) = k ⁱ u, u ∈ H ²ⁱ (G/P, ℚ). We show that if k is prime to the order of the Weyl group of G, then l _k can be induced by a self map of G/P. We also obtain results which imply the condition that k is prime to the order of the Weyl group of G is necessary.     

关于滑动连接机构的加速度分析

文献[1]研究了平面接触机构的两构件作无相对滑动的滚动的运动分析.本文则研究两构件在接触处有相对滑动时的加速度分析.