关于一类二阶微分方程的振动性的注记

考虑一类具连续分布滞量的二阶非线性泛函微分方程,获得了该方程的所有解振动的充分条件.     

A hybrid numerical approach to predict the vibrational responses of panels excited by a turbulent boundary layer

In this work, a hybrid numerical approach to predict the vibrational responses of planar structures excited by a turbulent boundary layer is presented. The approach combines an uncorrelated wall plane wave technique with the finite element method. The wall pressure field induced by a turbulent boundary layer is obtained as a set of uncorrelated wall pressure plane waves. The amplitude of these plane waves are determined from the cross spectrum density function of the wall pressure field given either by empirical models from literature or from experimental data. The response of the planar structure subject to a turbulent boundary layer excitation is then obtained from an ensemble average of the different realizations. The numerical technique is computationally efficient as it rapidly converges using a small number of realizations. To demonstrate the method, the vibrational responses of two panels with simply supported or clamped boundary conditions and excited by a turbulent flow are considered. In the case study comprising a plate with simply supported boundary conditions, an analytical solution is employed for verification of the method. For both cases studies, numerical results from the hybrid approach are compared with experimental data measured in two different anechoic wind tunnels.     

Flow induced oscillation of two rigid rectangular plates in a side-by-side configuration

The present work is an experimental study of two oscillating rigid plates placed in side-by-side configuration, hinged at their leading edges, subjected to low subsonic flow. This problem is investigated using smoke-wire flow visualization, hot-wire anemometry, and time resolved particle image velocimetry. It is found that beyond a critical Reynolds number, the plates set into oscillatory motion. This critical Reynolds number depends on the gap between the plates. It is also seen that this value of Reynolds number, at lower values of gap to thickness ratio (<7) is significantly higher than that of the single plate configuration value. The frequency and amplitude of the oscillating plates at various gaps and Reynolds numbers have been studied and compared with the characteristics of an oscillating single plate. It is also found that depending on the gap and acceleration of the free-stream, there exist two modes of oscillation - (i) in-phase and (ii) out-of-phase. For gap to thickness ratio less than 10, only in-phase oscillations take place for all values of free-stream velocity considered in the present work, whereas, when this ratio is greater than 10, the mode of oscillation depends on the initial conditions up to a certain free-stream velocity, beyond which the plates switch to in-phase mode. Smoke wire flow visualization technique along with time resolved particle image velocimetry reveal that the vorticity distributions around the plates are responsible for the initiation of the two modes of oscillations.     

时间尺度上二阶拟线性阻尼动力方程的振动性分析

研究二阶拟线性时滞阻尼动力方程[a(t)|x^Δ(t)|^λ-1x^Δ(t)]^Δ+b(t)|x^Δ(t)|^λ-1x^Δ(t)+p(t)|x(δ(t))|^λ-1x(δ(t))=0的振动性,其中t ₀∈T,而T为任意时间尺度,考虑方程是非正则情形,即$\int^{∞}_{t_0}$[a^-1(s)e_-b/a(s,t₀)]^1/λ Δs < ∞。 通过引入广义Riccati变换,借助时间尺度上的有关理论,并结合不等式技巧,建立了该方程振动的一些新的充分条件,推广、改进并丰富了现有文献中的结果。     

Effect of microencapsulation using soy protein isolate and gum arabic as wall material on red raspberry anthocyanin stability,characterization, and simulated gastrointestinal conditions

This study involves microencapsulation of anthocyanin extract (AC) from red raspberry using a freeze drying technique involving ultrasonication of soy protein isolate (SPI), gum arabic (AG), and their combination. Analyses included microcapsule properties, encapsulation efficiency, antioxidant capacity using the DPPH assay, Fourier-transform infrared spectroscopy (FTIR), color, thermal stability, stability during storage, morphology, and simulated gastrointestinal conditions. Encapsulation efficiency (EE) ranged from 93.05% to 98.87% for all microcapsules. The morphology of microcapsules by scanning electron microscopy (SEM) indicated a broken glass shape, with mean size of microcapsules ranging from 21.07 ± 2.71 μm to 48.19 ± 2.33 μm using Mastersizer analyzer. A good relationship obtained between zeta potential (ZP) and FTIR spectrum indicated that there is a chemical cross linking interaction between wall material and core material. All microcapsules enhanced the thermal stability of AC in the temperature range 80–114 °C. Furthermore, AC retention (up to 48%) during storage at 37 °C for 60 days revealed that treatment H combination of SPI and AG was best. In addition, SPI and AG combination presented good release behavior under simulated gastrointestinal conditions compared with unencapsulated anthocyanin.     

秋千参数自激振动的数学模型与数值模拟

将秋千视为变长度单摆,基于归一化高斯函数构造了摆球相对摆杆的速度表达式.在此基础上建立了秋千的非线性动力学微分方程,并据此数学模型对秋千运动进行了数值模拟,得到了秋千的运动规律和功能转化的机制.     

HgCdTe薄膜的输运特性及其应力调控

窄禁带直接带隙半导体材料碲镉汞(Hg1–xCdxTe)是一种在红外探测与自旋轨道耦合效应基础研究方面都具有重要应用意义的材料.本文对单晶生长的体材料Hg0.851Cd0.149Te进行阳极氧化以形成表面反型层,将样品粘贴在压电陶瓷上减薄后进行磁输运测试,在压电陶瓷未加电压时观察到了明显的SdH振荡效应.对填充因子与磁场倒数进行线性拟合,获得样品反型层二维电子气的载流子浓度为ns=1.25×10^16m^-2.在不同磁场下,利用压电陶瓷对样品进行应力调控,观测到具有不同特征的现象,分析应是样品中存在二维电子气与体材料两个导电通道.零磁场下体材料主导的电阻的变化应来源于应力导致的带隙的改变;而高场下产生类振荡现象的原因应为应力导致的二维电子气能级的分裂.     

一种新的ⅥA族化学反应振荡器：Na_2S_2O_8－KSCN－CuSO_4体系

一种新的ⅥＡ族化学反应振荡器：Ｎａ_２Ｓ_２Ｏ_８－ＫＳＣＮ－ＣｕＳＯ_４体系林娟娟，高庆宇，宋浩，黄振炎，赵学庄（南开大学化学系，天津，３０００７１）关键词化学振荡，非线性化学反应，过硫酸盐，硫氰酸盐自经典的均相ＢＺ化学振荡反应体系的发现及提出耗散结构...     

单层碳纳米管的化学修饰

单层碳纳米管 (SWNT)是 Iijima博士 [1]于 1 993年首次发现的 .它具有非常独特的物理和化学性质 ,因而成为近年来研究的热点问题 .随着单层碳纳米管的合成技术和纯化研究的不断完善 [2～ 5] ,关于它的研究方向开始转向化学反应和应用研究 .由于单层碳纳米管不溶于水或有机溶剂而限制了对其化学性质的研究 .单层碳纳米管的端头是由碳的五元环和六元环组成的半球形 .氧化作用可将该端头打开并转化为羧基 ,从而与其它的化学试剂发生反应 .Liu Jie等 [6] 用浓硫酸和浓硝酸的混合物氧化单层碳纳米管 ,将之裁剪成 1 50～ 80 0 nm的“短管”.在…     

以学为中心理念下多层圆筒壁热传导教学设计及实施*

以多层圆筒壁热传导知识点为例,探索了以 “学”为中心教学模式的具体应用,结合智慧教学工具及手段,采用BOPPPS结构模式对教学重难点部分进行设计。实践结果表明,这种教学模式有利于激发学生的学习兴趣,提升学生的学习效果。