Effects of Cone Angles on Nonlinear Vibration Responses of Functionally Graded Shells北大核心CSCD

The nonlinear vibration responses of functionally graded materials (FGMs) shells with different cone angles under external loads were studied. Firstly, the Voigt model was employed to describe the physical properties along the thickness direction of FGMs conical shells. Then, the motion equations were derived based on the 1st-order shear deformation theory, the von Kármán geometric nonlinearity and Hamilton’s principle. Next, the Galerkin method was applied to discretize the motion equations and the governing equations were simplified into a 1DOF nonlinear vibration differential equation under Volmir’s assumption. Finally, the nonlinear motion equations were solved with the harmonic balance method and the Runge-Kutta method, and the amplitude frequency response characteristic curves of the FGMs conical shells were obtained. The effects of different material distribution functions and different ceramic volume fraction exponents on the amplitude frequency response curves of conical shells were discussed. The bifurcation diagrams of conical shells with different cone angles, as well as time process diagrams and phase diagrams for different excitation amplitudes, were described. The motion characteristics were characterized by Poincaré maps. The results show that, the FGMs conical shells present the nonlinear characteristics of hardening springs. The chaotic motions of the FGMs conical shells are restrained and not prone to motion instability with the increase of the cone angle. The FGMs conical shell present a process from the periodic motion to the multi-periodic motion and then to chaos with the increase of the excitation amplitude. © 2022 Editorial Office of Applied Mathematics and Mechanics. All rights reserved.     

聚对苯二甲酸乙二酯形态结构的光散射研究

在不同结晶条件下,聚对苯二甲酸乙二酯样品出现了三种不同的光散射图形(正常球晶、异常球晶和混合球晶散射图形)。并假定正常球晶的光轴方向与半径垂直;异常球晶的光轴方向与半径夹+45°角或-45°角;混合球晶则是正常球晶与异常球晶叠加的结果。基于这些假定,按照Clough的计算公式,用二维球晶模型分别对具有上述各种光轴取向的球晶进行了计算。结果表明,计算出的H_v、V_v散射图形与实验所得的散射图形符合得很好。偏光显微镜的观察结果也进一步证实了这些模型的假定。     

多相高分子快离子导体阻抗谱的研究

研究了以ＬｉＣｌＯ４掺杂的聚乙二醇聚氨酯双离子导体及磺酸型聚乙二醇聚氨酯离聚物单一离子导体的阻抗谱，给出了多相快离子导体交流阻抗测试系统的等效电路．通过阻抗谱计算机解析，计算得出了样品的基本电学参数．通过讨论界面阻抗的色散现象，计算出样品的离子电导率，和阻抗谱解析法得到的结果相一致．     

具有特殊电子性能的有机固体

本文综述了具有特殊固体电子性能(导电性、铁磁性和非线性光学性质)的有机晶体和高分子化合物的合成、结构和性质,重点在于介绍结构与性能的关系以及这些研究领域的最新进展。     

无机材料/天然高分子复合微球的制备研究进展

微球是一种新型药物载体,具有很大的开发与应用潜力.天然高分子具有良好的生物相容性、可降解性,易在生物体内分散,可制备成微球.无机材料(主要为无机矿物)力学性能优良,且价廉易得.通过天然高分子与无机材料两者耦合杂化作用,可优势互补、协同增效,进而产生许多优异的理化性能.使用无机材料改性天然高分子,通过乳化交联法、溶液混合法、原位合成法、挤出法等多种方法可制备得到无机材料/天然高分子复合微球.将无机材料/天然高分子复合微球应用于药物传递系统中,缓释效果明显,安全无毒害,且载体材料价格相对低廉,对于开发新型药物载体具有一定的意义.本文综述了近年无机材料/天然高分子复合微球的制备、载药与释药性能的相关研究,分析了常用制备方法的利弊,展望了复合微球的发展方向.     

相分离聚合法:(Ⅰ)羧酸型共聚功能微球的合成

粒径在微米级、粒度分布窄的高分子微球具有十分广泛的应用。但是由于这样规格的微球正是在一般的悬浮聚合和乳液聚合的合成范围之外,而采用二步聚合法和种子聚合法则不是需要使用特殊的反应装置,就是合成步聚十分繁复,因此至今对于这样规格高分子微球的报道不多。     

亮氨酸与异亮氨酸在金/银核-壳复合纳米粒子上的吸附状态

The Raman spectra and Surface enhanced Raman spectra (SERS) of leucine and isoleucine adsorbed on core-shell Au/Ag nanoparticles were obtained and assigned, and the different Raman peaks resulting from different vibrational models of the isomers忆groups were analysed. In Raman spectra, the leucine’s (ω(CH3)) is at 962, 945, 924 cm-1, (δas(CH3)) at 1408, 1454 cm-1; corresponding values for isoleucine are, 922 cm-1 and 1448, 1420, 1394 cm-1, respectwely. The difference in the peak positions of corresponding groups between leucine and isoleucine is more apparent in the SERS at acidic and basic conditions. The relationship between leucine and isoleucine’s concentration and SERS was interpreted preliminarily and the adsorption model on the core-shell Au/Ag nanoparticle surface was speculated.     

新型亚微米亲水作用色谱的制备及其在加压毛细管电色谱中的应用

采用改良Stöber法合成580 nm亚微米单分散的二氧化硅微球，并以此为基质，通过"巯基-烯"点击化学反应将半胱氨酸成功键合到修饰有乙烯基团的二氧化硅微球表面，合成了一种新型亚微米亲水作用固定相（Cys-VTMS-SiO₂）。采用高压匀浆法制备了新型亚微米亲水色谱填充柱，通过不同乙腈比例、缓冲盐浓度和pH条件下对甲苯、丙烯酰胺和硫脲的分离分析揭示其亲水机理。依托加压毛细管电色谱平台，成功实现了对核苷、酚类、胺类及多肽等亲水性物质的快速有效分离，其有望应用于其他强极性和亲水性化合物的分离分析。     

聚苯乙烯乳胶球三维有序体的制备及其显微形貌表征

A three-dimensional (3D) ordered structure was achieved by self-organization of monodisperse polystyrene latex about 250nm in diameter after being ambient dried. The stacked morphology was investigated by scanning electron microscopy(SEM) observation. It is shown that the face-centered cubic(FCC) phase dominantly exists. This finding presents a potential template for preparing an inverse FCC structure as a photonic crystal of full band gap if the index contrast is higher than 2.8.     

微波固相法合成钠快离子导体Na5YSi4O12

应用微波方法合固相反应难于制备的Ｎａ５ＹＳｉ４Ｏ１２纯相，讨论了微波合成条件对产物的影响，与溶胶－凝胶法相比，微波法反应速率快，选择性强，合成的样品具有特异的聚集态，缺陷和微结构，从而导致离子导电活化能下降。