β-环糊精的双官能化

通过两条路线对β-环糊精进行双官能化合成了3个带双官能团的β-环糊精--叠氮基对甲苯磺酰基β-环糊精(3), 二对甲苯磺酰基β-环糊精(4)和二叠氮基β-环糊精(5).对甲苯磺酰基β-环糊精(1)的对甲苯磺酰基被叠氮基取代制得单叠氮基β-环糊精(2);2与对甲苯磺酰咪唑反应得到3.1先与对甲苯磺酰咪唑反应生成4;4的对甲苯磺酰基被叠氮基取代得到5.3～5的结构经1H NMR, IR和元素分析表征.     

热环境中粘贴压电层功能梯度材料梁的自由振动

研究了上下表面粘贴压电层的功能梯度材料Euler-Bernoulli梁在升温及电场作用下的屈曲和自由振动行为.在精确考虑轴线伸长基础上,建立了压电功能梯度材料层合梁在热-电-机载荷作用下的几何非线性动力学控制方程.其中,假设功能梯度材料性质沿厚度方向按照幂函数连续变化,上下压电层为各向同性均匀材料.在小振幅和谐振动假设下,上述非线性偏微分方程组被转化为两套相互耦合的常微分方程组,即过屈曲问题的控制方程和过屈曲构形附近的线性振动控制方程.采用打靶法数值求解上述两个耦合的常微分方程边值问题,获得了在均匀电场和横向非均匀升温场作用下两端固定压电.功能梯度材料层合梁在屈曲前和过屈曲构型附近的自由振动响应.绘出了梁的过屈曲平衡路径以及前3阶固有频率随热、电载荷及材料梯度参数变化的特性曲线.结果表明,梁的前3阶频率在屈曲前随着温度升高而减小,在进入过屈曲后它们却随着温度升高而增加.通过施加电压在压电层产生拉应力可有效地提高粱的热屈曲临界载荷,从而提高其固有频率.     

关于完全C＊置换子群

设H≤G,称H为G的完全C＊置换子群,如果对G的任意素数幂阶子群K,恒有x∈（H,K〉,使得HKx=KxH．本文利用素数幂阶子群的完全C＊置换性给出了一个群属于给定群系的的若干充要条件．     

关于完全C~*置换子群

设H≤G,称H为G的完全C*置换子群,如果对G的任意素数幂阶子群K,恒有x∈〈H,K〉,使得HKx=KxH.本文利用素数幂阶子群的完全C*置换性给出了一个群属于给定群系的的若干充要条件.     

CuSAPO-5分子筛的合成、表征及对甲苯吸附性能

采用水热合成法,以三乙烯四胺(TETA)为模板剂,合成Cu SAPO-5分子筛。通过扫描电子显微镜(SEM)、粉末X射线衍射(XRD)、傅里叶变换红外光谱(FT-IR)、热重(TG)、N2吸附及元素分析等手段对分子筛样品进行表征,考察了不同硅铝比对合成分子筛晶体的影响,并测定了分子筛样品对甲苯的吸附性能。结果表明,将合成液的p H值调节为4.8~5.0,于150~170℃晶化1d,可合成晶体形貌为球体的Cu SAPO-5分子筛,粒径约为30μm。分子筛样品具有较好的热稳定性,仍保持了SAPO-5分子筛的AFI骨架结构,属于微孔分子筛,孔径约为0.70nm,比表面积约为265 m2·g-1。元素分析结果表明分子筛中P、Si、Al和Cu的含量分别为12.56%、4.48%、7.17%和6.25%。样品对甲苯的吸附约在120 min时达到饱和,吸附量约为180 mg·g-1。     

含1,3,4-噻二唑环吡唑并[3,4-d]嘧啶类化合物的合成及生物活性

通过5-氨基-4-氰基-1-苯基吡唑与甲酸发生环合、再经氯化和芳香族亲核取代反应,合成了12种新的含1,3,4-噻二唑环吡唑并[3,4-d]嘧啶类化合物.目标化合物的结构经红外光谱、核磁共振氢谱、质谱和元素分析方法予以确认.初步的生物活性测定试验表明,在50 mg/L浓度下,大部分目标化合物对小麦纹枯病菌(Rhizoctonia cerealis)表现出较好的杀菌活性,其中化合物5b,5d和5j的抑菌率超过90%.     

功能梯度截顶圆锥壳的热弹性弯曲精确解

研究了功能梯度材料截顶圆锥壳在横向机械载荷与非均匀热载荷同时作用下的变形问题. 基于经典线性壳体理论推导出了以横向剪力和中面转角为基本未知量的功能梯度薄圆锥壳轴对称变形的混合型控制方程. 假设功能梯度圆锥壳的材料性质为沿厚度方向按照幂函数连续变化的形式. 然后采用解析方法求解,得到了问题的精确解. 分别就两端简支和两端固支边界条件,给出了圆锥壳的变形随其载荷、材料参数等变化的特征关系曲线,重点分析和讨论了载荷参数与材料梯度变化参数对变形的影响.      

Development and transition of spiral wave in the coupled Hindmarsh--Rose neurons in two-dimensional space

The dynamics and the transition of spiral waves in the coupled Hindmarsh--Rose (H--R) neurons in two-dimensional space are investigated in the paper. It is found that the spiral wave can be induced and developed in the coupled HR neurons in two-dimensional space, with appropriate initial values and a parameter region given. However, the spiral wave could encounter instability when the intensity of the external current reaches a threshold value of 1.945. The transition of spiral wave is found to be affected by coupling intensity D and bifurcation parameter r. The spiral wave becomes sparse as the coupling intensity increases, while the spiral wave is eliminated and the whole neuronal system becomes homogeneous as the bifurcation parameter increases to a certain threshold value. Then the coupling action of the four sub-adjacent neurons, which is described by coupling coefficient D’, is also considered, and it is found that the spiral wave begins to breakup due to the introduced coupling action from the sub-adjacent neurons (or sites) and together with the coupling action of the nearest-neighbour neurons, which is described by the coupling intensity D.     

Synchronization and parameter identification of one class of realistic chaotic circuit

In this paper, the synchronization and the parameter identification of the chaotic Pikovsky--Rabinovich (PR) circuits are investigated. The linear error of the second corresponding variables is used to change the driven chaotic PR circuit, and the complete synchronization of the two identical chaotic PR circuits is realized with feedback intensity k increasing to a certain threshold. The Lyapunov exponents of the chaotic PR circuits are calculated by using different feedback intensities and our results are confirmed. The case where the two chaotic PR circuits are not identical is also investigated. A general positive Lyapunov function V, which consists of all the errors of the corresponding variables and parameters and changeable gain coefficient, is constructed by using the Lyapunov stability theory to study the parameter identification and complete synchronization of two non-identical chaotic circuits. The controllers and the parameter observers could be obtained analytically only by simplifying the criterion dV/dt<0 (differential coefficient of Lyapunov function V with respect to time is negative). It is confirmed that the two non-identical chaotic PR circuits could still reach complete synchronization and all the unknown parameters in the drive system are estimated exactly within a short transient period.     

Thermal post-buckling of an elastic beams subjected to a transversely non-uniform temperature rising

IntroductionAxiallycompressedstresseswilloccurinaconstrainedelasticbeamsubjectedtoatemperaturerising .Ifthemagnitudeofthecompressedstressesexceedacertainlimit,thermalbucklingoftheheatedbeam ,whichisoutofitsinitialconfiguration ,willtakeplace .So ,investigationsonthermalbucklingofrodsandbeamsareverynecessaryandimportantforthedesignofstructuresworkinginhightemperatureenvironmentsandofsomethermalsensitiveelasticelements.Becausethermalelasticpost_bucklingofbeamsandrodsareinducedbythethermallyaxial…