H_2O^x(x=16,17,18)弯曲振动态转动能级的同位素位移

从Schr dinger方程出发 ,导出H2 Ox(x=16,17,18)分子在弯曲振动态 (0v2 0 )下转动能级的解析表达式 ,并对其基态 (0 0 0 )和激发态 (0v2 0 )

杆件纵横弯曲振动性能的研究

研究了纵横弯曲杆件的动力性能 ,推导出了纵横弯曲杆件的振幅计算公式 ,并分析了激振参数对杆件动力性能的影响 ,提出了在实际工程中减小杆件振动的一些措施。

薄壁连续箱梁的弯曲自振频率分析

为分析薄壁箱梁考虑剪切变形影响时的弯曲自振频率,将箱梁翼板、腹板受剪切变形影响的纵向位移综合为一个函数表达式.基于此表达式及Hamilton原理,运用能量变分法建立薄壁箱梁的弯曲自振频率控制微分方程.根据边界条件求解考虑剪切变形影响的简支箱梁弯曲自振频率.进而利用三弯矩法,得到等截面连续箱梁的弯曲自振频率表达式.数值算例结果表明,按照所得公式计算出的连续箱梁考虑了剪切效应的弯曲振动频率,与基于ANSYS空间壳单元及考虑剪切效应的梁单元有限元模型的计算结果均吻合较好.考虑剪切变形时,薄壁箱梁的弯曲自振频率减小,且随着自振频率阶数的增加,剪切变形影响逐渐增大,因此在求解薄壁箱梁的高阶自振频率时剪切变形的影响不可忽略.

双弯曲驻波压电振子的振动及其相位关系研究

对驻波驱动型双弯曲压电振子基板与凸起之间的振动及其相位关系进行了解析推导 ,从理论上说明了双弯曲压电振子在单一信号激励下能够生成椭圆运动并形成驱动能力。

曲线波形钢腹板箱梁竖向弯曲自振特性

为精确计算曲线波形钢腹板简支箱梁的竖向弯曲自振特性,考虑箱梁剪力滞和剪切变形双重效应,在假设箱梁翼板纵向位移函数的基础上,运用能量变分法和哈密顿原理推导了曲线波形钢腹板简支箱梁的弯曲自由振动微分方程,得到其竖向弯曲自振频率的解析解;建立有限元模型,将分析结果与推导的理论公式计算结果加以对比,并分析了跨径比、宽跨比和高跨比对竖向弯曲基频的影响。研究结果表明:本文竖向弯曲自振频率公式的计算结果与有限元分析结果差值在9%以内,且比初等梁理论计算精度高;剪力滞效应和剪切变形均削减了曲线波形钢腹板简支箱梁的刚度,使其竖向弯曲自振频率与初等梁理论的计算结果相比有所降低,同时考虑2种效应可能使竖向弯曲基频降低25%以上。剪力滞效应对竖向弯曲基频的影响随着跨径比和宽跨比的增大而增大,而高跨比变化时影响略有减小;剪切变形对竖向弯曲基频的影响随着宽跨比和高跨比的增大而增大,而跨径比变化时影响保持不变。对于不同参数取值的曲线波形钢腹板简支箱梁,竖向弯曲基频的剪切变形影响系数变化范围为5%~25%,而剪力滞效应的影响系数一般小于10%。在分析曲线波形钢腹板箱梁动力性能时应考虑剪切变形;当跨径比小于0.4,宽跨比小于0.1时,可忽略剪力滞效应的影响。

KA弯曲型橡胶隔振抗冲器冲击极限载荷研究

通过逐步增加冲击当量的试验方法对KA-100弯曲型橡胶隔振抗冲器的冲击极限载荷进行探索,获得隔振元件的极限冲击载荷。通过ABAQUS有限元软件及Yeoh超弹模型及粘性阻尼方法分析几何非线性占主导的弯曲型橡胶隔振抗冲器的冲击极限载荷。分析与冲击试验结果吻合较好,表明采用数值仿真方法可以作为冲击大变形橡胶隔振抗冲器冲击极限载荷研究的一种有效手段。

圆截面弹性细杆的平面振动

基于Kirchhoff理论讨论圆截面弹性细杆的平面振动.以杆中心线的Frenet坐标系为参考系建立动力学方程.杆作平面运动时,其扭转振动与弯曲振动解耦.讨论任意形状杆的扭转振动和轴向受压直杆在无扭转条件下的弯曲振动,证明直杆平衡的静态Lyapunov稳定性与欧拉稳定性条件为动态稳定性的必要条件. 考虑轴向力和截面转动惯性效应的影响,导出弯曲振动的固有频率.

动态测试木材的泊松比

【目的】根据悬臂板一阶弯曲振形给出动态测试木材泊松比的方法,测试西加云杉木材试件径切板顺纹、横纹的泊松比和横切面横纹试件的泊松比;对西加云杉木材试件的测试结果,分析用悬臂板试件测量一阶弯曲频率,代入到悬臂梁的公式推算出弹性模量的精度;同时用低碳钢板的动态测试试验来验证动态测试木材泊松比方法的正确性,为在木建筑、家具、木材加工等行业中对木材力学性能测定研究工作提供借鉴。【方法】根据动力学原理,利用YD-28A型四通道动态电阻应变计和CRAS振动及动态信号采集分析系统等测试仪器,以敲击方式激励悬臂西加云杉木材、低碳钢试件的自由振动,通过滤波处理保留其基频振动,记录并显示基频振动的横向应变和纵向应变的衰减振波曲线,并从同一时刻的横向应变峰值与纵向应变峰值比值得泊松比。【结果】横向应变振波曲线的正（负）峰值对应于纵向应变振波曲线的负（正）峰值,说明横向应变振波曲线与纵向应变振波曲线的相位差为180°或横向应变与纵向应变是反向的;通过低碳钢板验证试验,从其振波曲线第一通道和第二通道读出峰峰值,计算它们的比值后取平均值,得低碳钢泊松比的测量值μ=0.28,符合其规范值为0.25-0.28的要求;西加云杉木材的径切面顺纹泊松比μLR与径切面横纹泊松比μRL测量值之比为10.6,即径切面顺纹泊松比比径切面横纹泊松比大一个数量级;用悬臂梁公式推算的弹性模量值比实际弹性模量值偏小0.7%。【结论】根据悬臂板的一阶弯曲振形测试泊松比的动态方法是行之有效的,具有快速、简便、精度高的优点;西加云杉试件的径切面顺纹泊松比比径切面横纹泊松比大一个数量级,体现了木材的各向异性;用悬臂板云杉试件测得的一阶固有频率,代入到悬臂梁理论公式推算的弹性模量值具有足够精度。

NEW TYPE OF LINEAR ULTRASONIC MOTOR WITH TWO DEGREES OF FREEDOM USING LONGITUDINAL AND BENDING MODE

A new type of linear ultrasonic motor with two degrees of freedom (DOF) motion is presented. The concept of the new typical motor is based on the combination of a longitudinal and two bending modes. The construction and the operational principle of motor are described, and the elliptical motion of the driving point of the actuator is proved. Meanwhile, a prototype linear motor is designed by using the finite element method (FEM) and is constructed for experiments. The vibration modes are tested with the laser doppler vibrometer (PSV-300F), and the experimental results prove that the design requirements on the mode shape of the actuator and nature frequency are satisfied. The test run of the motor indicates that the operational principle of the motor and the design results are correct, and the output properties are also tested.

动态测试材料泊松比的方法

为了给出适用于各向同性材料和准各向同性材料的动态测试泊松比的方法,应用ANSYS程序计算长宽比为3~6、宽厚比为5~20的低碳钢、铝和玻璃等材质的悬臂板在一阶弯曲模态下的应力和应变。通过对其悬臂板在一阶弯曲模态下的应力、应变分析和平面应力状态下的应力-应变关系,得到了板内横向应力等于零的位置,即为动态测试材料泊松比应变花的粘贴位置;动态测定了钢、轧制铝和轧制纯铜等各向同性材料以及中密度纤维板(MDF)等准各向同性材料的泊松比。主要结论表明:悬臂板在自由端的中点受集中力作用下,悬臂板内也存在横向应力等于零的位置。该位置的横向静应变与纵向静应变比值的绝对值等于材料泊松比。动态测试泊松比的应变花粘贴位置依赖于悬臂板的宽长比和厚宽比;动态测定泊松比的应变花粘贴位置依赖于悬臂板宽长比和厚宽比表达式的正确性得到轴向拉伸试验和悬臂静态弯曲试验的验证。本研究中测试材料泊松比方法适用于各向同性材料和准各向同性材料。

Photodissociation Spectra of OCS＋ via B2∑＋←X2П Transitions

In the wavelength range of 231-275 nm, we have studied the mass-resolved dissociation spectra of OCS＋ via B2∑＋←X2П3/2（000） and B2∑＋←X2П1/2（000, 001） transitions by preparing OCS＋ ions in the well-defined spin-orbit states. The spectroscopic constants of v1 （CS stretch）=828.9 （810.4） cm-1, u2 （bend）=491.3 cm-1 and v3（CO stretch）=1887.2 cm-1 for OCS＋（B2∑＋） are deduced. The observed dependence of the v2（bend） mode excitation of B2∑＋ on the spin-orbit splitting of X2П（Ω=1/2, 3/2） in the B2∑＋←-X2П transition can be attributed to the K coupling between the （000）2П1/2 and （010）2∑＋/2 vibronic levels of X2П state, which makes the B2∑＋（010）←X2П1/2（000） transition possible.

Improvement for design of beam structures in large vibrating screen considering bending and random vibration

Demand for large vibrating screen is huge in the mineral processing industry. As bending and random vibration are not considered in a traditional design method for beam structures of a large vibrating screen, fatigue damage occurs frequently to affect the screening performance. This work aims to conduct a systematic mechanics analysis of the beam structures and improve the design method. Total motion of a beam structure in screening process can be decomposed into the traditional followed rigid translation(FRT), bending vibration(BV) and axial linear-distributed random rigid translation(ALRRT) excited by the side-plates. When treated as a generalized single-degree-of-freedom(SDOF) elastic system analytically, the BV can be solved by the Rayleigh's method. Stochastic analysis for random process is conducted for the detailed ALRRT calculation. Expressions for the mechanics property, namely, the shearing force and bending-moment with respect to BV and ALRRT, are derived, respectively. Experimental and numerical investigations demonstrate that the largest BV exists at the beam center and can be nearly ignored in comparison with the FRT during a simplified engineering design. With the BV and FRT considered, the mechanics property accords well with the practical situation with the maximum error of 6.33%, which is less than that obtained by traditional method.

Analysis of the flexural vibration of ship's tail shaft by transfer matrix method

A ship's tail shaft has serious flexural vibration due to the cantilevered nature of the propeller's blades.Analysis of the nature frequency of flexural vibration is vital to be able to provide effective shock absorption for a ship's tail shaft.A mathematic model of tail shaft flexural vibrations was built using the transfer matrix method.The nature frequency of flexural vibration for an electrically propelled ship's tail shaft was then analyzed,and an effective method for calculating it was proposed:a genetic algorithm(GA),which calculates the nature frequency of vibration of a system.Sample calculations,with comparisons by the Prohl method under conditions bearing isotropic support,showed this method to be practical.It should have significant impact on engineering design theory.

The Coupling VIV Analysis of SCRs with Rigid Swing

With the development of deepwater oil and gas exploration, Steel Catenary Risers(SCRs) become preferred risers for resource production, import and export. Vortex induced vibration(VIV) is the key problem encountered in the design of SCRs. In this study, a new model, the rigid swing model, is proposed based on the consideration of large curvature of SCRs. The sag bend of SCRs is assumed as a rigid swing system around the axis from the hanging point to the touch down point(TDP) in the model. The torque, produced by the lift force and the swing vector, provides the driving torque for the swing system, and the weight of SCRs provides the restoring torque. The simulated response of rigid swing is coupled with bending vibration, and then the coupling VIV model of SCRs is studied in consideration of bending vibration and rigid motion. The calculated results indicate that the rigid swing has a magnitude equal to that of bending vibration, and the rigid motion affects the dynamic response of SCRs and can not be neglected in the VIV analysis.

Mass-analyzed Threshold Ionization Spectroscopy of Rotamers of p-ethoxyphenol Cations and Configuration Effect

Two-color resonant two-photon mass-analyzed threshold ionization （MATI） spectroscopy was used to record the vibrationally resolved cation spectra of the selected rotamers of p- ethoxyphenol. The adiabatic ionization energies of the trans and cis rotamers are determined to be 61565±5 and 61670±5 cm^-1, which are less than that of p-methoxyphenol by 645 and 643 cm^-1, respectively. Analysis on the MATI spectra of the selected rotamers of p-ethoxyphenol cation shows that the relative orientation of the ethoxy group has little effect on the in-plane ring vibrations. The low-frequency OC2H5 bending vibrations appear to be active for both forms of the cation.

Shear wave velocity in granular soil considering effects of inherent and stress-induced anisotropy

The aim of this research was to explain the effects of relative density,mean effective stress,grading characteristics,consolidation stress ratio and initial fabric anisotropy produced during specimen preparation on shear wave velocity(Vs).It is shown that the Vs of the consolidated specimens under anisotropic compression stress is greater than that of the consolidated specimens under isotropic or anisotropic extension stress states at a given relative density and effective confining stress.It is also shown that the depositional technique that was used to create reconstituted specimens has important effect on the Vs.A parallel comparison of measured values from the resonant column and bender element tests is also presented.These results of the tests have been employed to develop a generalized relationship for predicting Vs of granular soils.The Vs model is validated using data collected from literatures.Based on the results,it can be conducted that the proposed model has a good performance and is capable of evaluating the Vs of granular soil.

The development of studying flexible pipe bend reinforced by Kevlar fibers

The flexible pipe bend can not only reduce the structural vibration and fluid noise in pipeline, but also realize the flexible connection of a horizontal line and a vertical line and compensate the displacement of three dimensions produced by the shock or vibration of pipeline in the special situations. Up to now, little attention has been paid to study the flexible pipe bend applied in the pipeline of medium or high pressure, because no appropriate framework materials can be used to reinforce it which must endure the burst pressure higher than 10 MPa. The investigation shows that it is possible to produce the flexible pipe bend of medium or high pressure if such fibers with high performance as Kevlar fibers are used to be its reinforced materials. However, its structural designing theory, manufacturing technology and measuring techniques aren't yet perfect and systematic, which leads to the instability of the performance of products. Furthermore, few references about its research can be seen. Therefore, it is necessary to systematically and thoroughly develop the structural designing theory, manufacture technology and measuring techniques of flexible pipe bend.

Forced transverse vibration of rolls for four-high rolling mill

In order to investigate the forced transverse vibration of rolls under distributed draught pressure and moment of bending roll force, the forced transverse vibration model of rolls for four-high rolling mill was established. The work roll and backup roll were considered as elastic continuous bodies that were joined by a Winkler elastic layer. According to Euler-Bemoulli beam theory, the forced transverse vibration of rolls was analyzed based on modal superposition method. The forced vibration equations were established when the draught pressure and moment of bending roll force were imposed on the rolls respectively. Numerical modeling was made on 2 030 mm cold tandem rolling mill of Baoshan Iron and Steel Company. Simulation results show that when the work roll is only subjected to different forms of draught pressures, the vibration curves of work roll and backup roll are quadratic curves with amplitudes of 0.3 mm and 45 μm, respectively. When only the moments of bending roll force are imposed on the work roll and backup roll, the vibration curves of work roll and backup roll are quadratic curves, and the amplitudes are 5.0 and 1.6 μm, respectively. The influence of moment of bending roll force on the vibration of work roll is related with the bending roll force.

Influence of Forward Speed on the Lateral Vibration of a Slender Structure in Water

In this paper,the effects of forward speed on the lateral vibration of a slender structure in an infinite fluid are considered.By equating the bending stress of the structure with the hydrodynamic force acting on it,the equation which governs the fluid-structure interaction of a slender structure both vibrating and moving in water is obtained.Numerical results show that the influence of forward speed on the vibration of a slender structure in water is significant.It behaves like damping,reducing both natural frequencies and responses significantly.

Improved Twin I-Girder Curved Bridge-Vehicle Interaction Analysis and Human Sensitivity to Vibration

The perceptible vibration of curved twin I-girder bridges under traffic loads is an important design consideration, because this bridge have rather low torsional stiffness that produce excessive vibrations. The objective of this investigation was to study the vibration of curved twin I-girder bridges due to moving vehicles and the effect of vibrations on bridge users. To this end, a comprehensive three-dimensional finite element models for bridge and vehicle are developed by using ANSYS code for studying bridge-vehicle interaction and the resultant sensitivity to vibration. Truck parameters include the body, the suspension and the tires. Gap and actuator elements are incorporated into the tire models to simulate the separation between the tires and road surface, and road surface roughness, respectively. Road roughness profiles are generated from power spectral density and cross spectral functions. To couple the motion of the bridge and vehicle, Lagrange multipliers and constraint equations are utilized through the augmented Lagrangian method. A parametric study is performed to identify the effect of various parameters on the vibration of the bridge. The results have been expressed in the form of human perceptibility curves. This study finds that the bridge response is significantly influenced by the road roughness, bump height at expansion joint and vehicle speeds. The results show that the inclusion of features such as increasing the torsional stiffness by providing additional stiffened bracing has major effects on the reduction of perceptible vibration.