Solvent crystallized syndiotactic polystyrene. Thermal and dynamic-mechanical behavior

The syndiotactic polystyrene can crystallize in different forms, depending on thermal and solvent treatments. The influence of the polymorphism on the dynamic-mechanical behavior has been analyzed. Thermogravimetric and calorimetric analysis were also carried out. The effects of phase transitions and solvent release on the relaxation phenomena were observed, and the correlations between structure and dynamic behavior allow to better understand some aspects of the polymorphism phenomena.     

Dynamic Behavior of Lambda-Type Three-Level Atoms and Two-Mode Cavity Field

A system comprising of Lambda-type three-level atoms and the two-mode cavity field is considered in this paper. Under the adiabatical approximation and the large detuning condition, the effective Hamiltonian of the system in the interaction picture can be given out. If the two identical three-level atoms pass through the cavity in turn, the entangled state atoms can be generated. When the interaction time is taken to an appropriate value, the maximally entangled states are created. At the same time, the dynamic behaviors of the system are studied in detail.     

三维Lotka-Volterra系统的动力学行为与极限环构造

综述三维Lotka-Volterra系统的动力学行为研究的新进展，主要是极限环的算法化构造与个数问题,以及一些相关猜想. 讨论了一些计算机辅助推理在种群动力学中的应用以及相关的问题.     

1+1维抛射沉积模型内部结构动力学行为的数值研究

采用Kinetic Monte Carlo方法对1+1维抛射沉积(BD)模型内部结构的动力学行为进行了大量的数值模拟研究.分别分析了空洞密度和内部界面的动力学行为.研究表明,空洞密度呈高斯型分布,其平均值首先随生长时间快速增长,然后达到一个与基底尺寸无关的饱和值.除表面宽度,还引入了新的极值统计方法来分析该模型内部界面的动力学行为,分析结果显示,1+1维BD模型内部界面的演化满足标准的Family-Vicsek标度规律,并且属Kardar-Parisi-Zhang方程所描述的普适类.最后对表面宽度和极值统计两种理论方法的有限尺寸效应进行了比较.     

动态配位空间的构筑与调控

“配位空间”(Coordination Space)是无机-有机杂化体系中的构筑基元通过配位键连接形成的具有特定结构和功能的空间。这一概念为基于配位键的框架体系的定向构筑与结构-性能调控提供了新的视角。作为典型的无机-有机杂化材料,金属-有机框架(Metal-Organic Framework,MOF)及金属有机笼(Metal-Organic Cage,MOC)等近年来受到广泛关注。这类材料的构筑与性能调控的核心可以认为是对其配位空间的结构设计与性能调控。具有刺激响应性的MOF可展现动态的配位空间,使其在吸附分离、传感、药物投递等方面具有重要的应用前景。本文将以动态金属有机框架的相关研究为基础简述动态配位空间研究的近期进展,包括其动态行为产生的结构基础、诱发因素及相关性能,归纳结构-性能的关系,为相关研究提供参考。     

一种数字控制单相全桥逆变电路运动行为分析方法研究

考虑到数字控制单相全桥逆变电路PWM调制方法和滤波器、负载结构的多样性, 以及利用状态转移矩阵对系统运动行为分析方法的局限性. 通过解析表达状态转移矩阵中的元素, 本文提出了一种可以解析描述具有N个状态变量、一个开关周期内M次拓扑 变化的数字控制单相全桥逆变电路(简称N-M数字控制单相全桥逆变电路)系统参数 与运动行为关系的分析方法. 以3-3数字控制单相全桥电压逆变电路为例对上述分析方法进行了验证, 推导出了该三阶电路发生Hopf分岔的解析判别式、稳定范围及Hopf分岔振荡频率的解析表达式, 并通过Simulink仿真及电路实验证明了理论分析的正确性.     

基于三维Hopkinson杆的混凝土动态力学性能研究

混凝土、岩石类材料在复杂应力状态下的动态力学性能研究一直备受关注，但鉴于动态实验的复杂性，对真三轴应力状态下材料的动态加载一直未曾实现。本文中研制了一套真三轴静载作用下混凝土、岩石类材料的“三维Hopkinson杆”动态力学实验系统，为冲击载荷作用下材料动态各向异性特性的研究提供了一种有效的实验测试技术。该系统采用液压伺服控制对立方体试件施加三向独立的0~100 MPa真三轴静载，再利用分离式Hopkinson压杆对试件施加冲击动载，具体研究了C30混凝土材料在不同真三轴静载条件下的动态压缩性能，得到了不同条件下X、Y、Z方向上的动态应力应变关系。     

Peakon Solutions to Supersymmetric Camassa-Holm Equation and Degasperis-Procesi Equation

In this paper,the supersymmetric Camassa-Holm equation and Degasperis-Procesi equation are derived from a general superfield equations by choosing different parameters.Their peakon-type solutions are shown in weak sense.At the same time,the dynamic behaviors are analyzed particularly when the two peakons collide elastically,and some results are compared with each other between the two equations.     

DYNAMIC CHARACTERISTICS OF AXIALLY-SYMMETRICAL ANNULAR CORRUGATED SHELL PIEZOELECTRIC TRANSDUCERS

The coupled extensional and flexural vibrations of an annular corrugated shell piezoelectric transducer consisting of multiple circularly-annular surfaces smoothly connected along the interfaces were investigated in the paper. Only a time-harmonic voltage is applied across two electrodes of the piezoelectric shell as the external loading. A theoretical solution was obtained using the classical shell theory. Based on the solution, basic vibration characteristics of resonant frequencies, mode shapes were calculated and examined.