Stability and vibration of a helical rod constrained by a cylinder

The stability and vibration of an elastic rod with a circular cross section under the constraint of a cylinder is discussed. The differential equations of dynamics of the constrained rod are established with Euler’s angles as variables describing the attitude of the cross section. The existence conditions of helical equilibrium under constraint are discussed as a special configuration of the rod. The stability of the helical equilibrium is discussed in the realms of statics and dynamics, respectively. Necessary conditions for the stability of helical rod are derived in space domain and time domain, and the difference and relationship between Lyapunov’s and Euler’s stability concepts are discussed. The free frequency of flexural vibration of the helical rod with cylinder constraint is obtained in analytical form. The project supported by the National Natural Science Foundation of China (10472067). The English text was polished by Yunming Chen.     

碱金属氟化物对掺Yb3+氟磷酸盐玻璃析晶稳定性和光谱性质的影响

研究了碱金属氟化物对掺Yb3 氟磷玻璃的光谱性质和析晶稳定性能的影响.运用倒易法计算了Yb3 的发射截面.结果显示,LiF的引入对吸收和发射截面的提高作用较大并出现最佳引入量极值,其次为KF.碱金属氟化物的引入可提高二元体系的析晶稳定性能,使玻璃网络结构得到改善;拉曼光谱显示二元体系中引入YbF<,3>后玻璃网络结构得到增强,而在引入碱金属氟化物的三元体系中掺杂YbF<,3>后破坏了网络完整性,降低系统析晶稳定性能.     

基于VLES模型的振动圆柱数值模拟

本文将一种VLES(Very Large Eddy Simulation)模型引入到动网格数值计算中,并验证了VLES模型用于模拟类似振动圆柱绕流的动边界问题的有效性.数值求解了不同振幅和频率下非稳态振动圆柱绕流问题.研究表明:随着振幅和激励频率的增加,绕圆柱流动涡脱离形式从2S模式转换到2P0模式,再到P+S模式.在...     

一类泛函微分方程的渐近性

主要讨论一类泛函微分方程x（t）=a（t）g（x（t））＋b（t）f（x1）（t≥0）解的渐近表现．建立非振动解和振动解趋于零的充分条件．     

耦合FE/WB法在声分析中的应用

简要描叙FE法(finite element method)和WB法(wave based method)的理论背景以及耦合FE/WB法的数学基础.耦合FE/WB法利用两者的优势——FE法的广泛应用和WB法的高收敛特性,将FE模型中较大且几何简单的部分采用WB法代替.耦合模型具有相对较少的自由度.对于较高的频率还可以进行细分得到更高的计算精度,并利用模态缩减法进一步减少自由度数.数值算例结果表明,该耦合方法有潜力覆盖中频段的声分析.     

Oscillation of coercivity between positive and negative in MnxGe1-x：H ferromagnetic semiconductor films

Amorphous MnxGe1-x :H ferromagnetic semiconductor films prepared in mixed Ar with 20% H2 by magnetron cosputtering show global ferromagnetism with positive coercivity at low temperatures. With increasing temperature, the coercivity of MnxGe1-x :H films first changes from positive to negative, and then back to positive again, which was not found in the corresponding MnxGe1-x and other ferromagnetic semiconductors before. For Mn0.4Ge0.6 :H film, the inverted Hall loop is also observed at 30 K, which is consistent with the negative coercivity. The negative coercivity is explained by the antiferromagnetic exchange coupling between the H-rich ferromagnetic regions separated by the H-poor non-ferromagnetic spacers. Hydrogenation is a useful method to tune the magnetic properties of MnxGe1-x films for the application in spintronics.     

Coupling Distant Spins of Surface-State Electrons by Manipulating Their Collective Vibrations

The system of electrons on liquid helium is an interesting candidate to implement quantum computation, due to the long coherence times of the qubits encoded by the electronic spins. In order to implement the quantum logic operations between the spins, we propose here a configuration, similarly to the cooled ions in a trap, to couple the distant electrons via manipulating their center of mass （CM） vibrations. First, we show that the electrons could be confined in a common harmonic oscillator potential by using an electrostatic field. Then, with a single current pulse （applied on the micro-electrode below the liquid helium） the distant electronic spins can be coupled simultaneously to the CM mode. Finally, by adiabatically eliminating the CM mode, effective interaction between the distant spins is induced for implementing the desired quantum computing.     

Resonance Raman Study of Aggregated Meso-tetra(4-pyridinium) porphyrin Diacid

研究了近激子吸收带激发下四-(4-吡啶基)卟啉二酸(H₈TPyP⁶⁺)聚集体的共振拉曼光谱．测量了H₈TPyP⁶⁺单体和聚集体的紫外可见吸收谱和共振光散射光谱．在氘代位移的基础上结合相关体系振动光谱研究,对测得的H₈TPyP⁶⁺)单体和聚集体的拉曼谱带进行了指认．聚集体的形成导致H₈TPyP⁶⁺的卟啉环CC/CN面内伸缩振动向低波数方向位移2～6 cm^-1,而卟啉环鞍形面外振动带向高波数方向位移12cm^-1．基于拉曼谱带的强度和频率变化分析了聚集引起的H₈TPyP⁶⁺分子内结构变化和分子间氢键作用     

电吉他的工作原理

 电吉他由于被广泛的应用于摇滚乐里,所以也称摇滚吉他。如图1所示,电吉他由琴头、琴颈、拾音器、琴桥、护板构成,顾名思义电吉他是需要接电的,它与一般吉他区别最大的是没有共鸣音箱,不是以箱体的振动发声,而是采用电子拾音器来接受声音,通过扩音器把声波信号放大,它的琴身是实体而非中空的音箱,在琴身上装有两块或三块磁铁,它们被做成拾音器。图1电吉他拾音器是电吉他最关键的设备,如图2所示。一根导线在一个小的磁铁上绕成线圈,线圈连接到扩音器。磁铁产生的磁场使弦线磁化,弦线反过来会产生自己的磁场,当弦线被拨动而产生振动时,它相对线圈运动,使通过线圈的磁通量发生变化。     

5,15-二（二茂铁基）-卟啉酞菁钇的结构和振动光谱的密度泛函理论研究

本文选用混杂的B3LYP密度泛函理论方法,在Lanl2dz水平上,对5,15-二（二茂铁基）-卟啉酞菁钇[Por(Fc)2]Y(Pc)的结构进行了优化,结果表明,5,15-二（二茂铁基）-卟啉酞菁钇呈现出三明治型构型,卟啉环与酞菁环呈穹型围绕在金属钇原子周围。对分子内主要的键长与键角进行了理论计算,通过频率计算,得到了5,15-二（二茂铁基）-卟啉酞菁钇[Por(Fc)2]Y(Pc)的红外光谱图,与实验所得的红外光谱图进行比对,将理论计算和实验所得的光谱主要振动峰进行了线性回归拟合,相关系数为0.992,标准偏差为16.96。理论计算与实验所获得的红外光谱图基本一致,说明本文所选用的DFT理论计算方法是可行的。通过GaussView软件对5,15-二（二茂铁基）-卟啉酞菁钇的红外谱带简正振动模式进行了指认。此外,分析讨论了5,15-二（二茂铁基）-卟啉酞菁钇[Por(Fc)2]Y(Pc)的分子静电势,确定了极大值与极小值的位置。对于研究5,15-二（二茂铁基）-卟啉酞菁钇分子的性质,提供了相应的理论基础。