Synthesis of naringin‐based polymer brushes via seATRP

The flavonoid‐based macromolecule initiator was prepared for the first time by the transesterification reaction of naringin with 2‐bromoisobutyryl bromide. In accordance with the “grafting from” methodology, a naringin‐based copolymer brush with a polar naringenine‐7‐rhamnosidoglucoside core and an amphiphilic poly(methyl methacrylate)‐block‐poly(N‐isopropylacrylamide) (PMMA‐b‐PNIPAM) side chains was synthesized for the first time via a simplified electrochemically mediated ATRP (seATRP), utilizing only 40 ppm of catalytic complex. The rate of the polymerizations was controlled by applying optimal potential or current values during preparative electrolysis to prevent the possibility of intermolecular coupling of the growing polymer brushes. Naturally derived polymer brushes showed narrow molecular weight distributions (Đ = 1.06−1.08). ¹H NMR spectral results confirm the formation of citrus‐based polymer brushes. These new naringin‐based polymer materials may find biomedical applications as thermo‐sensitive drug delivery systems, membranes, and biologically active thin films in tissue engineering.     

Necessary and sufficient criteria for absolute stability of the direct control system

ＮＥＣＥＳＳＡＲＹＡＮＤＳＵＦＦＩＣＩＥＮＴＣＲＩＴＥＲＩＡＦＯＲＡＢＳＯＬＵＴＥＳＴＡＢＩＬＩＴＹＯＦＴＨＥＤＩＲＥＣＴＣＯＮＴＲＯＬＳＹＳＴＥＭＺｈａｎｇＪｉ－ｙｅ（张继业）;ＳｈｕＺｈｏｎｇ－ｚｈｏｕ（舒仲周）（ＤｅｐａｒｔｍｅｎｔｏｆＥｎｇｉ...     

扩展琼斯矩阵在研究Solc滤波器离轴消光比中的应用

根据广泛使用的双折射材料的性质以及滤波器入射角有限的特点,讨论了晶体中o光和e光的关系;根据光的折射定律,将光在晶体表面的折射效果表述为输入、输出折射率矩阵;建立了从入射面坐标系到晶体本征坐标系的坐标变换矩阵;推出了简化的扩展琼斯矩阵。整个过程物理思想清楚,每个矩阵表示的物理意义直观、明确,得到的结果简单,计算量小。用于Solc滤波器消光比的研究,给出了在任意入射角下计算多块晶片Solc滤波器传输特性的一般表达式,对Solc滤波器锥光干涉图作了数值模拟。适用于计算各种类型双折射滤波器的离轴消光比。     

Some basic principles for linear coupled dynamic thermopiezoelectricity

According to the basic idea of classical yin-yang complementarity and modern dualcomplementarity, in a simple and unified way some basic principles for linear coupled dynamic thermopiezoelectricity can be established systematically. An important integral relation in terms of convolutions is given, which can be considered as the generalized principle of virtual work in mechanics. Based on this relation, it is possible not only to obtain the principle of virtual work and the reciprocal theorem in linear coupled dynamic thermopiezoelectricity, but also to derive systematically the complementary functionals for eleven-field, nine-field, six-field and three-field simplified Gurtin-type variational principles. Furthermore, with this approach, the intrinsic relationship among various principles can be explained clearly. Project supported by the National Natural Science Foundation of China (Grant No. 19672074) and Research Grand Council of Hong Kong, No.RGC97/98, HKUST 6055/97E.     

基于COMSOL的简化对流传热结构拓扑优化方法

提出了一种基于COMSOL平台的简化对流传热结构拓扑优化实现方法。简化对流传热拓扑优化可用于获得性能更优的散热结构概念设计,但缺乏可行性强和适用范围广的实现方法,导致工程应用存在较高的技术门槛。为解决该问题,本研究采用在经典传热方程中引入对流换热项的方式,建立了可用于COMSOL平台简化对流换热分析的控制方程。进一步的,结合COMSOL平台提供的传热分析模块以及拓扑优化模块,搭建了简化对流传热结构拓扑优化计算框架。数值算例考虑了经典二维和三维的简化对流传热结构优化设计问题。结果显示了本文方法的有效性及可行性。     

A study on two extensions of the Bogoyavlenskii-Schieff equation

In this work, two extensions of the Bogoyavlenskii-Schieff equation are examined. N-soliton solutions are formally determined for each extended equation. We show that the extension terms do not kill the integrability of the typical Bogoyavlenskii-Schieff equation. The simplified Hirota’s method established by Hereman and Nuseir is applied to achieve this goal.     

SIMPLIFIED CALCULATION METHOD FOR DEALING WITH ADDED WATER MASS FOR IMMERSED CANTILEVER CYLINDER 1)

采用解析方法研究了部分浸入水中的圆形悬臂柱的附连水质量分布,给出了无量纲的质量分布系数,通过对质量分布系数的数值拟合分析,附连水质量效应可最终表达为结构的等效质量密度,在振动计算中只需将浸入水中的悬臂柱密度用等效密度替代即可。采用试验方法测量了部分浸入水中的悬臂柱湿频率,简化附连水质量方法计算的湿频率结果与试验测量值吻合很好,表明本文的附连水质量简化公式可很好地描述附连水的质量效应。     

分数阶混沌系统的Adomian分解法求解及其复杂性分析

根据分数阶微分定义,采用Adomian分解算法,研究了分数阶简化Lorenz系统的数值解.研究发现,该算法与预估-校正算法相比,求解结果更准确,所耗计算资源和内存资源更少,求解整数阶系统时较Runge-Kutta算法更准确;利用Adomian算法得到的分数阶简化Lorenz系统出现混沌的最小阶数为1.35,比利用预估-校正算法得到的最小阶2.79更小.采用相图、分岔图分析了该系统的动力学特性,基于谱熵算法(SE)和C0算法分析了该系统的复杂度.结果表明,复杂度结果和分岔图一致,说明系统的复杂度同样能反映出系统动力学特性;复杂度随阶数q的增加呈总体减小的趋势,而混沌态时系统参数c变化对系统复杂度影响不大.为分数阶混沌系统应用于信息加密、保密通信领域提供了理论与实验依据.     

Simple Genetic Algorithm with Local Tuning: Efficient Global Optimizing Technique

Genetic algorithms are known to be efficient for global optimizing. However, they are not well suited to perform finely-tuned local searches and are prone to converge prematurely before the best solution has been found. This paper uses genetic diversity measurements to prevent premature convergence and a hybridizing genetic algorithm with simplex downhill method to speed up convergence. Three case studies show the procedure to be efficient, tough, and robust.     

气体浮力实验

将自制的简易天平密封在玻璃罐头瓶中．通过增大、减小瓶中空气密度的方法，验证了气体对物体产生的浮力与物体体积和气体密度的关系．