半球谐振陀螺振子耦合振动的近似解析分析

半球壳是新型半球谐振陀螺的敏感部件．有效地隔离谐振子有害的耦合振动对于保证陀螺性能的可靠、稳定具有十分重要的工程价值．本文在研究半球壳谐振子支承杆结构振动的基础上，采用瑞利－里兹法（Ｒａｙｌｅｉｇｈ－Ｒｉｔｚｍｅｔｈｏｄ），对结构特性最佳的Ψ型谐振子最低阶耦合振动进行了分析，给出了谐振子有关参数设计的近似解析工程用方程．

多振子耦合振动的分析与研究

针对动力学方程 ,利用矩阵理论 ,分析研究了多振子耦合振动系统的运动 ,并给出了一般性解法 ,证明了多振子耦合振动系统的任何一种可能的运动都可以用各阶主振动的线性组合来表示 .

电力系统低频振荡监测的Duffing振子可停振动系统法

电力系统实测低频振荡信号的主要特点为:振荡模式出现的时间不确定,持续的时间不确定,振幅带有阻尼特性且随时间变化。因此,在对低频振荡信号进行参数辨识之前,应判别是否发生了持续、稳定的低频振荡。但现在认可度较高的低频振荡分析方法并不对此进行判别,缺乏真实性。基于此,本文提出了电力系统低频振荡监测的Duffing振子可停振动系统法。Duffing振子可停振动状态的改变对周期扰动高度敏感,同时对随机微小扰动却十分不敏感。根据这个特点将量测信号输入到可停振动系统中,得到其相轨迹。随机微小扰动的相轨迹聚焦为一点,为可停振动状态,弱阻尼模式的低频振荡和强迫功率振荡相轨迹存在"低频振荡吸引子",而负阻尼的低频振荡的相轨迹存在"低频振荡排斥子"。因此,根据相轨迹的状态改变,可以判断是否存在稳定的低频振荡信号,是哪种模式的低频振荡,以及模式的阻尼特性。为快速准确地告警、合理选择振荡抑制措施及快速抑制振荡提供依据。该方法通过可视化的方法展现振荡过程和特性,利用其提取的对数平衡距可以对相轨迹进行定量分析,为低频振荡监测提供了一种新的分析方法。

关于谐振子阻尼振动的研究

本文通过对谐振子阻尼振方程的分析和讨论，研究了谐振子的阻尼振动、过阻尼运动和临界阻尼运动，提出了研究结果的实际应用方向。

一般非对称非经典结构响应的二阶实振子精确解耦法

为使现代一般非对称非经典结构的分析和设计法等同于基于物理意义明确的二阶标准振子传统经典结构,对该类结构响应的二阶标准实振子精确解耦法进行了系统研究。首先,运用复模态法对具有一般非对称质量和刚度矩阵及非对称非经典阻尼矩阵结构的响应进行精确解耦;其次,构造复响应量与实响应量的变换关系,运用拉氏变换,通过实矩阵坐标变换法,将一般非对称非经典结构及被动减震结构的位移与速度响应精确解耦为系列二阶标准实振子位移与速度响应及地震位移与速度响应的线性组合,并使系列标准振子的广义荷载仅为原始荷载的实数线性组合;最后,对实振子与实模态解耦法进行了对比分析。结果表明:实模态解耦法是实振子解耦法的特殊情况;当一般非对称非经典结构退化为经典结构时,实矩阵坐标变换法退化为实模态坐标变换法,实振子解耦法退化为实模态解耦法。此外,运用本文所建立的方法,可将现有的成熟经典结构体系的分析与设计法直接推广到一般非对称非经典复杂结构体系。

基于MEMS声传感器的圆柱壳体振动陀螺振型检测技术

振动陀螺谐振子振型一般采用激光进行非接触式测量,这种方法存在设备成本高、操作复杂、效率低等问题,因此,提出了一种基于MEMS声传感器的圆柱壳体振动陀螺谐振子振型测试方法。该方法利用体积小,指向性高的MEMS声传感器对谐振子振动声场进行高分辨率测量,获得精确的谐振子振动分布情况,建立了谐振子声波测试实验系统,进行了测试实验,并与激光测振仪的测量结果进行比对。实验结果表明,该测试系统具有较高的振型测量精度。这种测试方法成本低,操作简便,测量精度高,可以实现谐振子振型的高精度快速测量,为后续的谐振子修形及陀螺控制提供重要基础。

Raman and Infrared Spectra for All-trans-astaxanthin in Dimethyl Sulfoxide Solvent

The Raman and infrared spectra of all-trans-astaxanthin （AXT） in dimethyl sulfoxide （DMSO） solvent were investigated experimentally and theoretically. Density functional cal-culations of the Raman spectra predict the splitting of the υ1 band into υ1-1 and υ1-2 compo-nents. The absence of splitting in Raman experimental spectra is ascribed to the competition between the two symmetric C=C stretching vibrations of the backbone chain. The υ1 band is very sensitive to the excitation wavelength： resonance excitation stimulates the higher-frequency υ1-2 mode, and off-resonance excitation corresponds to the lower-frequency υ1-1 mode. Analyses of the intramolecular hydrogen bonding between C=O and O-H in the AXT/DMSO system reveal that the C4=O1...H1-O3 and C4＇=O2...H2-O4 bonds are strengthened and weakened, respectively, in the electronically excited state compared with those in the ground state. This result reveals significant variations of the AXT molecular structure in different electronic states.

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

Resonance Raman spectra of aggregated meso-tetra（4-pyridinium）porphyrin diacid （H8TPyP^6＋） were studied with excitation near the exciton absorption bands of 470 nm. The UV-Vis absorption and resonance light scattering spectra of HsTPyP^6＋ monomers and aggregates were also measured. The observed Raman bands of monomeric and aggregated HsTPyP^6＋ were assigned on the basis of the observed deuteration shifts and by comparing with the Raman spectra of analogous porphyrin diacids. Aggregation causes moderate downshifts （2-6 cm^-1） for high-frequency modes involving the in-plane CC/CN stretches of the porphyrin core and a dramatic upshift （12 cm^-1） for the out-of-plane saddling mode of the porphyrin ring. The structural changes induced by aggregation and the possible hydrogen bonding interaction between the HsTPyP^6＋ molecules in the aggregate are discussed based on the spectral observations.

利用VB辅助分析红外光谱

程序很好地解析了红外光谱中振动谐振子的各种物理量及相互关系之间的规律可更加方便地分析各种化合物的红外光谱的所有信息。

Modal analysis on transverse vibration of axially moving roller chain coupled with lumped mass

The modal characteristics of the transverse vibration of an axially moving roller chain coupled with lumped mass were analyzed.The chain system was modeled by using the multi-body dynamics theory and the governing equations were derived by means of Lagrange's equations.The effects of the parameters,such as the axially moving velocity of the chain,the tension force,the weight of lumped mass and its time-variable assign position in chain span,on the modal characteristics of transverse vibration for roller chain were investigated.The numerical examples were given.It is found that the natural frequencies and the corresponding mode shapes of the transverse vibration for roller chain coupled with lumped mass change significantly when the variations of above parameters are considered.With the movement of the chain strand,the natural frequencies present a fluctuating phenomenon,which is different from the uniform chain.The higher the order of mode is,the greater the fluctuating magnitude and frequency are.

Resonance, Multi-resonance, and Reverse-resonance Induced by Multiplicative Dichotomous Noise

A constant-potential system driven by multiplicative dichotomous noise and subject to an input oscillatory signal is investigated. Two phenomena of stochastic resonance are observed. One is the response as a function of the noise＇s parameters; the other is that as a function of the input signal frequency. A phenomenon of multi-resonance （there are three or four peaks） is found for the response as a function of a parameter of the noise. A phenomenon of reverse-resonance is found, for which the response of the system to the signal can be weakened by the presence of the noise （there is an optimal minimum）. These results help in studies of the systems with multiplicative dichotomous noise, such as the semiconductor, the proteins motor, the chemical reaction, and so on.

Vibrational Spectra and Potential Energy Surface for Electronic Ground State of Jet-Cooled Molecule S2O

The vibration states of transition molecule S2O, including both bending and stretching vibrations, are studied in the framework of dynamical symmetry groups . We get all the vibration spectra of S2O by fitting 22 spectra data with 10 parameters. The fitting rms of the Hamiltonian is 2.12 cm-1. With the parameters and Lie algebraic theory, we give the analytical expression of the potential energy surface, which helps us to calculate the dissociation energy and force constants of S2O in the electronic ground state.

A disc-type magneto-rheologic fluid damper

A disc-type magneto-rheological fluid damper operating in shear mode is proposed in this paper,which is based on the special characteristics of the magneto-rheological (MR) fluid with rapid, reversible and dramatic change in its rheological properties by the application of an external magnetic field. The magneticfield of the disc-type MR fluid damper is analysed by the finite element method ; the controllability of the disctype MR fluid damper on the dynamic behaviour of a rotor system ; and the effectiveness of the disc-type MR fluid damper in controlling the vibration of a rotor system, are studied in a flexible rotor system with an over-hung disc. It is shown that the magnetic flux density of the disc-type MR fluid damper in the working areas can significantly change with the applied current in the coil ; and that the dynamic behavior of the disc-type MR fluid damper can be varied by the application of an external magnetic field produced by a low voltage electromagnetic coil. The disc-type MR fluid damper can significantly change the dynamic characteristics of a rotor system, provided that the location of the disk-type MR fluid damper is carefully chosen. The disc-type MR fluid damper is a new actuator with good dynamic characteristics for rotating machinery.

Approach to Perturbative QCD Results in Transition Amplitudes of NucleonNegative-Parity Resonances

The scaling behaviors of the nucleon resonance transition amplitudes from perturbative QCD (PQCD) are utilized to parametrize the amplitudes of the first negative-parity nucleon resonance . Our analysis indicates that the constraints of the transition amplitude for the resonance at the limit by QCD sum rule calculations are not applicable at a moderate range of compared with the present available data if the contribution of is dominant in the limit.

Electroproduction of Roper Resonance in a Meson Cloud Model

The Q^2 dependencies of Roper resonance (N~* (1440)) helicity amplitudes have been discussed based on twoassumptions:(i) the Roper resonance is an excitation of one of the three quarks,and (ii) the quarks are surrounded bya pion-meson cloud.Our study shows that the mixing of the ground state in the Roper wavefunction caused by the pionmeson cloud together with the pion meson cloud itself is crucial for the predictions of the photoproduction amplitudesof the Roper resonance.It is found that our model can give a good description for the helicity amplitudes of the Roperresonance comparing with the experimental measurement.

One-Step Scheme for Realizing N-Qubit Quantum Phase Gates with Hot Trapped Ions

A scheme is presented for realizing an N-qubit quantum phase gate with trapped ions. Taking advantage of the virtual excitation of the vibrational mode, the qubit system undergoes a full-cycle of Rabi oscillation in the selective symmetric Dicke subspace. The scheme only involves a single step and the operation is insensitive to thermal motion. Moreover, the scheme does not require individual addresing of the ions.

Advantages and Drawbacks of Quantum Mechanical Static and Dynamic Approaches to Modelling Infrared Spectra

We present quantum mechanical vibrational computations beyond the harmonic approximation from effective second order perturbative and variation perturbation treatments defined as static approaches, as well as vibrational analysis from density functional theory molecular dynamics trajectories at 300 and 600 K. The four schemes are compared in terms of prediction of fundamental transitions, and simulation of the corresponding medium infrared spectrum at the same level of theory using the B3LYP/6-31＋G（d,p） description of the electronic structure. We summarize conclusions about advantages and drawbacks of these two approaches and report the main results obtained for semi-rigid and flexible molecules.

Coherent Vibrational Dynamics of[Au_(25)(SR)_(18)]^(-) Nanoclusters

Coherent vibrational dynamics can be observed in atomically precise gold nanoclusters using femtosecond time-resolved pump-probe spectroscopy.It can not only reveal the coupling between electrons and vibrations,but also reflect the mechanical and electronic properties of metal nanoclusters,which holds potential applications in biological sensing and mass detection.Here,we investigated the coherent vibrational dynamics of[Au_(25)(SR)_(18)]^(-)nanoclusters by ultrafast spectroscopy and revealed the origins of thesecoherent vibrations by analyzing their frequency,phase and probe wavelength distributions.Strong coherent oscillations with frequency of 40 cm^(-1) and 80 cm^(-1) can be reproduced in the excited state dynamics of[Au_(25)(SR)_(18)]^(-),which should originate from acoustic vibrations of the Au13 metal core.Phase analysis on the oscillations indicates that the 80 cm^(-1) mode should arise from the frequency modulation of the electronic states while the 40 cm^(-1) mode should originate from the amplitude modulation of the dynamic spectrum.Moreover,it is found that the vibration frequencies of[Au_(25)(SR)_(18)]^(-)obtained in pump-probe measurements are independent of the surface ligands so that they are intrinsic properties of the metal core.These results are of great value to understand the electron-vibration coupling of metal nanoclusters.

Transitional Description of Diatomic Molecules in U（4） Vibron Model

U(3)-O(4) transitional description of diatomic molecules in the U(4) vibron model is studied by usingthe algebraic Bethe ansatz, in which the O(4) limit is a special case of the theory. Vibrational band-heads of sometypical diatomic molecules are fitted by both transitional theory and the O(4) limit within the same framework. Theresults show that there are evident deviations from the O(4) limit in description of vibrational spectra of some diatomicmolecules.