DYNAMIC STABILITY OF AXIALLY MOVING VISCOELASTIC BEAMS WITH PULSATING SPEED

IntroductionThe class of systems with axially moving materials involves power transmission chains,band saw blades and paper sheets during processing. Vibration of such systems is generallyundesirable. The traveling tensioned Euler-Bernoulli beam is the pr…     

对一类强非线性系统的分析

本文研究了一类强非线性系统,首先对系统在相平面上的全局结构进行定性分析,得到了系统参数的分叉值,然后研究了摄动方法在定性分析中的应用。     

Further studies on stability analysis of nonlinear Roesser-type two-dimensional systems

This paper is concerned with further relaxations of the stability analysis of nonlinear Roesser-type two-dimensional （2D） systems in the Takagi-Sugeno fuzzy form. To achieve the goal, a novel slack matrix variable technique, which is homogenous polynomially parameter-dependent on the normalized fuzzy weighting functions with arbitrary degree, is developed and the algebraic properties of the normalized fuzzy weighting functions are collected into a set of augmented matrices. Consequently, more information about the normalized fuzzy weighting functions is involved and the relaxation quality of the stability analysis is significantly improved. Moreover, the obtained result is formulated in the form of linear matrix inequalities, which can be easily solved via standard numerical software. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed result.     

基于线上线下结合的无机定性分析实验教学

针对在实验室开设定性分析实验受到的制约,设计并开设了"无机化合物的性质与鉴定"虚拟实验,以作为常规无机定性分析实验的重要补充和扩展。虚拟实验和传统实验一并开设,构成线上线下结合的教学模式,完善知识体系,全面培养学生的无机定性分析能力。     

STABILITY OF EQUILIBRIA OF NEMATIC LIQUID CRYSTALLINE POLYMERS

We provide an analytical study on the stability of equilibria of rigid rodlike nematic liquid crystalline polymers (LCPs) governed by the Smoluchowski equation with the Maier-Saupe intermolecular potential. We simplify the expression of the free energy of an orientational distribution function of rodlike LCP molecules by properly selecting a coordinate system and then investigate its stability with respect to perturbations of orientational probability density. By computing the Hessian matrix explicitly, we are able to prove the hysteresis phenomenon of nematic LCPs: when the normalized polymer concentration b is below a critical value b*(6.7314863965), the only equilibrium state is isotropic and it is stable; when b*< b < 15/2, two anisotropic (prolate) equilibrium states occur together with a stable isotropic equilibrium state. Here the more aligned prolate state is stable whereas the less aligned prolate state is unstable. When b > 15/2, there are three equilibrium states: a stable prolate state, an unstable isotropic state and an unstable oblate state.     

氟胺氰菊酯的定性定量分析

氟胺氰菊酯是一种用于蜜峰的高效杀螨剂。从20%商品氟胺氰菊酯粉剂中通过硅胶柱层板分离得到了96.6%的纯品并用FTIR和GC/MC进行定性量测定。采用GC/MS定量分析的方法，氟胺氰菊酯的浓度在0.05-10mg/L范围为线性响应，最低检测极限为 0.01mg/L。采用R（-）N-3，5-二硝基苯甲酰-苯基甘氨酸和长链烃的硅胶微粒手性柱，可成功地分离氟胺氰菊酯的二种旋光异构体，它们在商品氟胺氰菊酯中的比例近似为1：1。     

大黄的非线性化学指纹图谱研究

通过别洛索夫-扎鲍京斯基(B-Z)振荡反应对不同来源大黄进行定性分析,将大黄粉末加入H2SO4-MnSO4-CH3COCH3-NaBrO3中,组成化学振荡体系,用电化学工作站记录数据,并对化学试剂的浓度、反应温度、大黄用量等条件进行了考察,确定体系的最佳实验条件,获得了不同来源大黄的非线性化学指纹图谱.通过对大黄非线性化学指纹图谱的研究,发现不同来源的大黄的指纹图谱主要参数有较大区别.该方法简便,准确,可靠,可方便地用于不同来源大黄的定性分析.     

双(4-羧苯基)苯基氧化膦的定性定量分析

用差示扫描量热、元素分析、红外光谱、氢核磁共振等方法对自制双(4-羧苯基)苯基氧化膦(BCPPO)进行定性分析.其结构和纯度经确认后,紫外光谱扫描发现:BCPPO的吡啶溶液在302 nm波长处有稳定吸收,在6.0×10-5～3.6×10-3mol·L-1之间,吸光度与浓度呈线性关系.应用紫外-分光光度法对BCPPO进行定量分析时,相对标准偏差(n=5)在0.14%～0.25%之间,可有效避免反应副产物苯甲酸对测定的影响.