均匀水流冲击下扭王字块断裂失稳过程的数值模拟研究

扭王字块是一种重要的港口防波堤护面块体,其断裂失稳过程与所受水流冲击力密切相关。文章以基于连续介质力学的离散元方法(CDEM)为基础,通过引入FVM算法及半弹簧-半棱联合接触模型,分别实现了大位移下单元变形的准确计算及单元接触的快速更新。基于改进后的CDEM方法,通过在扭王字块表面施加按流速方向逐渐增加的动态面力,对均匀水流冲击下单扭王字块的断裂过程及扭王字块群的失稳滑移过程进行了数值分析。通过分析,不同方向水流冲击下单扭王字块的主要断裂模式为沿着根部的折断,其断裂流速约为21~25m/s;不同吨位下扭王字块群的失稳模式为扭王字块单体从群体中跳出,其失稳流速约为4~11m/s。     

Formation of solitons and shocks in toroidal ion temperature gradient mode in the presence of non-Maxwellian electrons

Linear and nonlinear phenomena are investigated in toroidal ion temperature gradient (TITG)-driven pure drift mode. The model includes inhomogeneity in background magnetic field, ion temperature, and density. Finite Larmor radius effect is incorporated to understand the effect of low-frequency wave on ion dynamics. Electrons are assumed to follow nonthermal distribution, that is, kappa and Cairns distributions. Dispersion relation is obtained to analyse the linear behaviour of the TITG mode in the presence of non-Maxwellian electron distribution. In the nonlinear regime, exact solutions (soliton and shocks) are obtained (in dispersive and dissipative medium respectively) by using functional variable method to solve the nonlinear partial differential equation obtained for the system under consideration. Graphical illustrations are used to exhibit the characteristics of linear and nonlinear structures and their dependence on different physical parameters. It is observed that for TITG-driven pure drift mode, rarefactive solitons are formed for both thermal and nonthermal electron distributions. It is also observed that variation of electrons from standard thermal distribution affects the propagation characteristics of linear and nonlinear structures in TITG-driven modes. Results of our investigations will be helpful to understand the low-frequency waves in inhomogeneous plasmas in the presence of nonthermal electron distributions which are frequently observed by satellite missions and are also observed in laboratory plasmas.     

电感耦合等离子体串联质谱测定婴幼儿谷类辅助食品中的重金属镉

婴幼儿谷类辅助食品是婴幼儿营养的重要能量来源,其主要原料为大米,而水稻极易从其生长的土壤和水中吸收重金属Cd积累到谷粒中,导致大米中Cd的残留浓度相对较高,从而对婴幼儿谷类辅助食品构成潜在威胁。提出了电感耦合等离子体串联质谱（ICP-MS/MS）测定婴幼儿谷类辅助食品中重金属Cd的新策略。样品经微波消解处理后,采用ICP-MS/MS进行测定。婴幼儿谷类辅助食品中Cd的测定所面临的质谱干扰主要来源于高浓度Mo所形成的Mo基多原子干扰离子（MoO+,MoN+,MoC+）以及Sn所形成的同量异位素（112Sn+,114Sn+,116Sn+）。针对这些干扰,在MS/MS模式下,分别采用H₂,NH₃/He和O₂为反应气,考察不同Cd同位素的质谱干扰消除效果和分析灵敏度。结果表明,在H₂和NH₃/He反应模式下,H₂和NH₃均能与Mo基干扰离子发生质量转移反应,而不与Sn+反应,可选择110Cd+,111Cd+和113Cd+进行测定,但H₂与Mo基干扰离子反应速度较慢,难以彻底消除高浓度Mo基质中对Cd的质谱干扰;在O₂反应模式下,所有干扰离子均能与O₂发生质量转移反应,虽然获得的分析灵敏度略低于NH₃/He反应模式,但背景等效浓度（BEC）明显比NH₃/He反应模式低。确定了以O₂为反应气消除干扰测定Cd的最优分析方案。利用标准参考物质评价了方法的准确性,采用国标法（GB5009.268—2016）进行对比分析验证了方法的可靠性。结果表明,Cd的LOD为2.03～13.4 ng·L-1,标准参考物质的测定值与认定值基本一致,在95%的置信水平,对比分析结果之间无显著性差异。方法的灵敏度高,结果准确可靠,适用于大批量婴幼儿谷类辅助食品中重金属Cd的高通量测定。     

双模式放电中DBD放电参数对甲烷滑动弧火焰光谱及活性粒子的影响分析

对未燃烧的可燃混合气体进行DBD放电,放电后会产生大量的活性粒子,这些活性粒子可以辅助气体燃烧,达到提高燃料燃烧利用率等目的。以DBD激励氩气、甲烷、空气产生的自由基（CH基和OH基）等强化燃烧的关键活性粒子为探索对象,研究DBD放电激励甲烷对滑动弧火焰的影响。为此,采用自主设计的DBD-滑动弧双模式等离子体激励器,利用同轴介质阻挡放电结构对氩气、甲烷、空气混合气进行放电激励,将激励后的氩气、甲烷、空气混合气通入滑动弧端进行点火。固定氩气流量不变,调整空气流量为4.76 L·min-1,并加入甲烷0.5 L·min-1,保证进气通道内氩气与空气-甲烷的气体体积流量比达到Ar∶（CH₄+Air）=1∶30,其中空气、甲烷这两种气体达到了化学燃烧当量比φ=1,氩气、甲烷、甲烷混合气体能实现均匀而稳定的放电并燃烧。DBD段放电电压在15～20 kV范围变化,放电频率在6～10 kHz范围变化,滑动弧段的电压和频率分别保持4 kV与10 kHz恒定,通过改变DBD段放电电压和放电频率,用高速光纤光谱仪检测滑动弧火焰中自由基种类及其光谱强度,分析放电参数激励甲烷对火焰中自由基（CH基和OH基）的影响。结果表明,DBD段放电电压及放电频率的增加可以促进火焰内部的偶联反应发生,可有效提升甲烷滑动弧火焰内部的活性粒子含量,其中OH基团、CH基团在燃烧链式化学反应进程中发挥着较为重要的作用。甲烷经过DBD激励后,随放电电压和频率的增加,火焰中OH基、CH基等主要活性粒子都随之增加。DBD放电后,活性粒子的光谱强度增大,特征谱线比单模式更加明显;甲烷经过DBD激励后,火焰组成发生了变化,滑动弧段出口处甲烷燃烧反应更加充分,火焰温度越高越容易产生OH基。与单模式滑动弧相比,双模式放电可有效促进火焰内部的链式化学反应进程,促进燃料燃烧。     

Effect of the area of a lithium niobate transducer on the efficiency of ultrasonic atomization driven by resonance vibration

In recent years, individual control of one’s personal environment has been drawing increasing attention due to the growing interest in health care. Wearable devices are especially useful because of their controllability regardless of location. Humidity is one of the inevitable factors in the personal environment as a preventive against infectious diseases. Although atomization devices are commonly used as a method of humidity control, at present, there are no wearable humidity control devices. Vibration of a lithium niobate (LN) device in the thickness mode is a promising piezoelectric method for miniaturization of atomization devices for humidity control. To miniaturize the atomization device, the transducer size needs to be small not so much as to decrease the atomization efficiency. However, the effect of the device area on the atomization efficiency of LN at a size suitable for mounting in wearable devices has not been studied. Here, we conducted an atomization demonstration of LN devices with different sizes to evaluate particle size and atomization efficiency. Furthermore, to reveal the relationship between vibration behavior and atomization efficiency, resonance vibration in the MHz frequency band was evaluated by the finite element method and an impedance analyzer. The results showed that the peak size of water particles atomized by each device was in the range of 3.2 to 4.2 µm, which is smaller than particles produced by typical piezoelectric ceramics. Moreover, the best LN size for efficient atomization was found to be 8 mm × 10 mm among the five LN device sizes used in experiments. From the relationship between vibration behavior and atomization efficiency, the size of the transducer was suggested to affect the vibration mode. The obtained result suggested that the LN device is suitable for small wearable nebulizer devices.     

Majorana zero modes,unconventional real-complex transition,and mobility edges in a one-dimensional non-Hermitian quasi-periodic lattice

A one-dimensional non-Hermitian quasiperiodic p-wave superconductor without PT-symmetry is studied.By analyzing the spectrum,we discovered that there still exists real-complex energy transition even if the inexistence of PT-symmetry breaking.By the inverse participation ratio,we constructed such a correspondence that pure real energies correspond to the extended states and complex energies correspond to the localized states,and this correspondence is precise and effective to detect the mobility edges.After investigating the topological properties,we arrived at a fact that the Majorana zero modes in this system are immune to the non-Hermiticity.     

Numerical simulation of force and wake mode of an oscillating cylinder

The turbulent flow behind a circular cylinder subjected to forced oscillation is numerically studied at a Reynolds number of 5500 by using three-dimensional Large Eddy Simulations (3-D LES) technique with the Smagorinsky model. The filtered equations are discretised using the finite volume method with an O-type structured grid and a second-order accurate method in both time and space. Firstly, the main wake parameters of a stationary cylinder are examined and compared in the different grid resolutions. Secondly, a transversely oscillating cylinder with a constant amplitude in a uniform flow is investigated. The cylinder oscillation frequency ranges between 0.75 and 0.95 of the natural Kármán frequency, and the excitation amplitude is moderate, 50% of the cylinder diameter. The flow characteristics of an oscillating cylinder are numerically examined and the corresponding wake modes are captured firstly in 3-D LES at Re=5500. A transition between different wake modes is firstly investigated in a set of numerical simulations.     

TRIAL FUNCTION METHOD FOR THE LONGITUDINAL VIBRATION OF RODS WITH VARIABLE CROSS-SECTIONS

给出了一种试探函数法,并研究了变截面杆的纵振动问题. 先给出振动控制方程的特殊函数形式的试探解,然后要求此解满足控制方程,反过来确定了控制方程各种可能的系数函数（即截面变化函数）并得到了控制方程的精确解. 作为例子,给出了一种变截面杆在3 种边界条件下的频率方程,计算出了固有频率. 研究表明,试探函数法简单、直接,适合于研究变截面杆的纵振动问题. 对于杆扭转振动、薄膜振动以及管中波传播等问题,该方法同样有推广应用价值.     

冲击载荷下圆环纵向压缩力学行为研究

选用外径、内径和高度三者比值为6∶3∶2的铝合金圆环试件作为研究对象,在粗磨、细磨和润滑三种端面粗糙条件下,利用SHPB实验方法研究了其纵向动态压缩行为。实验结果表明:随着端面摩擦系数的增大,对应的屈服强度和硬化强度增大明显。同时,圆环纵向压缩应力应变曲线有一个明显的应力下降段。其原因是圆环在塑性压缩过程从内而外发生了动态塑性失稳。由于端面应力不均匀和压缩过程端面摩擦系数不均匀变化,试件前后端面的压缩变形明显不一致。数值模拟分析了不同表面粗糙情况下的圆环纵向压缩过程,得到了和实验相类似的现象。     

石墨烯分子振动模式因子群分析与密度泛函计算

运用因子群分析法对石墨烯的分子振动模式进行了理论分析,得到石墨烯的分子振动模式,计算出各振动模式的光谱特性.对所建立的石墨烯晶体的布拉维单胞模型采用基于密度泛函理论的第一性原理进行分子振动频率与模式的计算,所得的振动模式数目以及各振动频率的光谱特性同因子群分析方法所得结论一致.结合上述计算结果,通过系统比较石墨与石墨烯之间的红外光谱和拉曼光谱的差别,从理论上解释了具有D6h对称的石墨烯的A2u、E1u红外活性特征振动模式没有在红外光谱中出现的原因.