随机风场下高层结构振动隔震与TMD混合控制研究

针对风荷载作用下高层建筑结构振动控制问题,基于建筑隔震和调谐质量阻尼器振动控制原理,利用ANSYS软件分别建立高层结构带隔震层和带调谐质量阻尼器(TMD)的单一控制策略以及两者相结合的混合振动控制策略.根据Davenport脉动风速谱,采用自回归模型(Auto-Regressive,AR)法,考虑竖向相关性、平稳的多变...     

扭转振动实验仪与单自由度系统振动实验

介绍了扭转振动实验仪的构造、原理和特点, 以及据此开设的单自由度系统振动实验. 该仪 器的研制为理论力学课程振动实验提供了必要条件. 十多年的教学实践表明, 单自由度系统 振动实验有助于加深学生对单自由度系统振动概念的理解, 培养学生的实践能力, 教学效果 明显.     

Detection and study of compressor-blade vibration

The many compressor blades in modern axially staged gas turbines are susceptible to vibration. The energy exciting the vibrations comes from many sources which are discussed. The vibratory stresses generated must be experimentally determined. A new device capable of detecting rotor-blade vibration without contact is described.     

基于无网格法的Timoshenko曲梁动力分析

曲梁具有外形美观、受力性能良好的优点,故在工程中得到广泛应用。本文基于移动最小二乘近似和一阶剪切变形理论,提出一种对Timoshenko曲梁自由振动和受迫振动进行分析的无网格方法。通过一系列离散点离散曲梁,建立曲梁无网格模型,然后推导曲梁势能和动能方程,通过哈密顿原理给出曲梁自由振动和受迫振动的控制方程,因为本文方法不能直接施加边界条件,所以使用完全转换法处理本质边界条件,最后求解方程得到频率和振动模态。文末通过算例验证了本文方法的有效性,且通过收敛性分析表明本文方法具有较好的收敛性,并进一步分析了不同边界条件、跨高比和变截面变曲率对曲梁自由振动和受迫振动的影响,将计算结果与文献解或ABAQUS解进行对比分析,表明本文方法具有较高的精度,且适用于实际工程情况。     

On vibration mitigation and energy harvesting of a non-ideal system with autoparametric vibration absorber system

This paper demonstrates that vibration mitigation and energy harvesting can be achieved simultaneously by using of an electricity-generating from autoparametric vibration absorber system (AVAS) and non-ideal system (NIS). The NIS consists of a simple portal frame excited by a small dc motor with eccentric mass, with limited power supply and located on the top. The AVAS consists of a cantilever beam with tip mass parallel coupled to NIS. A piezoelectric material is considered for energy harvesting installed in the base of the AVAS and an electric circuit is connected to the piezoelectric material in order to produce voltage output. Several numerical simulations were carried out focusing on the passage through the resonance of NIS, when the motor rotational frequency is near the portal frame natural frequency and when the non-ideal subsystem frequency is approximately twice the absorber beam frequency (two-to-one internal resonance). The results showed the existence of Sommerfeld effect in NIS and saturation phenomenon in the NIS–AVAS.     

捷联惯组减振系统角振动、线振动共振频率理论分析

当前实际工程中,角振动试验技术和设备尚不成熟。以指导捷联惯组减振系统设计过程为目的,结合捷联惯性组合减振系统对角共振频率的特殊要求,对线振动、角振动共振频率的关系进行了分析与讨论。建立了捷联惯性组合减振系统的动力学模型,得到了捷联惯组减振系统数学模型,利用刚体动力学方法分析捷联惯组的转动惯量和回转半径,得出理想情况下捷联惯性组合减振系统线共振、角共振频率存在一定的比例关系,并与减振器安装中心到转动中心线的平均距离和惯组回转半径有关的结论。最后讨论了改变减振系统刚度和减振器布置方式两种改变共振频率的方法,并对两种方法进行了比较。     

Bending and vibration of composite laminated plates

Hybrid-stress finite element method is applied for analysis of bending and vibration of composite laminated plates in this paper. Firstly, based on the modified complementary principle, a rectangular hybrid-stress plate bending element is presented which applies to analysis of laminates. Inside the element, different stress parameters are assumed according to different layers. The boundary displacements are determined by means of the assumption of YNS theory on the boundary of elements. The element formed in this way not only can take effects of transverse shear deformation and local warping into account, but also has less degrees of freedom. Then, problems of bending and vibration of laminates are solved by using this element, and the numerical results are compared with the exact solutions. This shows that the results obtained in the paper are very close to the exact results.     

Free and forced vibration of repetitive structures

In this paper, the vibration problems of some repetitive structures, including symmetric, cyclic periodic, linear periodic, chain, and axi-symmetric structures is investigated. Eigen-value problems derived from the vibration equations of these structures are established based on their continuous models. The special properties of the structural modes of these structures are deduced. Applying these properties can provide effective reduction approach to solving the natural and forced vibration problems of these structures by either numerical or experimental methods. Furthermore, these properties can be applied in other aspects such as evaluating the reasonableness of the discrete models of these repetitive structures.     

Rock vibration and finite oil recovery

Basic information concerning the possibility of mechanical stimulation of an oil reservoir is presented. The positive effect of vibration on the oil fraction in the output of flooded wells is demonstrated. The effect is attributed to the restoration of permeability for dispersed oil as a result of drop clusterization or breakdown. A mathematical model illustrating the special role of dominant vibration frequencies is proposed. This model is based on the nonlinear effects associated with internal viscoelastic resonance. The corresponding evolution equation of the seismic waves emitted by the vibrator is a generalization of the Burgers-Korteweg-de Vries equation. For this equation the existence of an asymptotic regular wave structure is proved. Taking the microparticle rotation effect into account leads to bimodal wave vibrations, and under conditions of long-short-wave resonance the nonlinear generation of high ultrasonic frequencies by seismic waves is possible. The ultrasonic vibrations created enable the oil drops to recover their mobility.Based on paper presented to the fluid mechanics section of the Seventh Congress on Theoretical and Applied Mechanics, Moscow, August 1991.Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No.5, pp. 110–119, September–October, 1992.     

再谈荡秋千——兼谈自激振动

通过荡秋千运动解释自激振动的特征,叙述其在航天技术中的应用。附录中应用相平面方法作定性分析。 关键词 秋千, 绳系卫星, 自激振动, 相平面法     

啄木鸟玩具演示自激振动

啄木鸟玩具可作为演示自激振动的教具,文中对啄木鸟玩具的自激振动过程作理论分析.     

Self-synchronization theory of dual motor driven vibration system with two-stage vibration isolation frame

This paper studies self-synchronization and stability of a dual-motor driven vibration system with a two-stage vibration isolation frame. Oscillation amplitude of the material box large enough can be ensured on the vibration system in order to screen materials. Reduction of the dynamic load transmitted to the foundation can also be achieved for the vibration system. A Lagrange equation is used to set up the motion differential equations of the system, and a dimensionless coupled equation of the eccentric rotors is obtained using a method of modified average small parameter. According to the existence condition of zero solution in the dimensionless coupled equation of the eccentric rotors, the precondition for commencing self-synchronization motion is achieved.The stability condition of self-synchronization is obtained based on the Routh-Hurwitz criterion. The theoretical analysis is validated by simulations and experiments.     

Free vibration and stability of moderate-thick cantilever plates

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Coupling vibration of vehicle-bridge system

By applying the sinusoidal wave mode to simulate the rugged surface of bridge deck, accounting for vehicle-bridge interaction and using Euler-Bernoulli beam theory, a coupling vibration model of vehicle-bridge system was developed. The model was solved by mode analyzing method and Runge-Kutta method, and the dynamic response and the resonance curve of the bridge were obtained. It is found that there are two resonance regions, one represents the main resonance while the other the minor resonance, in the resonance curve. The influence due to the rugged surface, the vibration mode of bridge, and the interaction between vehicle and bridge on vibration of the system were discussed. Numerical results show that the influence due to these parameters is so significant that the effect of roughness of the bridge deck and the mode shape of the bridge can‘ t be ignored and the vehicle velocity should be kept away from the critical speed of the vehicle_     

Magnetoelastic vibration of a plate

Summary The propagation of plane harmonic waves in a thin flat homogeneous isotropic plate of finite width and infinite length permeated by a constant magnetic field is examined. The frequency equations corresponding to the symmetric and antisymmetric modes of vibration of the plate are obtained, and some limiting cases of the frequency equations are then discussed.     

The vibration of plane frameworks

Summary A method is given for the determination of the natural frequencies and dynamic response of general plane frameworks. The relevant equations are derived in a form suitable for digital computation.     

Basic vibrations and anharmonic analysis of a vibration

We prove that, besides the simple harmonic vibrations, some anharmonic vibrations are basic as well, because a general vibration can be considered as a superposition of such vibrations with different frequencies. The results in this paper are a generalization of Fourier analysis and a new theory of vibration analysis.     

谐振式加速度计非线性振动的建模与优化

实验发现硅微谐振式加速度计非线性效应的弱化可以降低测量噪声,对非线性振动进行了推导与建模,利用扫频数据得到模型中的未知参数,并根据模型计算出使非线性效应消失所需的激励电压,给闭环工作点的设计提供了理论指导。实验结果表明:模型与实际系统在各激励电压幅值下均保持一致,非线性效应消失点和实验吻合。根据闭环工作点的设置进行了方案优化,最终在0.25 mV激励电压下的闭环实验中,实现了5.5×10~(-5) Hz的频率输出噪声,对应加速度噪声为1.7μg,与之前30μg的噪声水平相比改善了数十倍。     

Nonlinear vibration of a rotating laminated composite circular cylindrical shell: traveling wave vibration

In this paper, the large-amplitude (geometrically nonlinear) vibrations of rotating, laminated composite circular cylindrical shells subjected to radial harmonic excitation in the neighborhood of the lowest resonances are investigated. Nonlinearities due to large-amplitude shell motion are considered using the Donnell’s nonlinear shallow-shell theory, with account taken of the effect of viscous structure damping. The dynamic Young’s modulus which varies with vibrational frequency of the laminated composite shell is considered. An improved nonlinear model, which needs not to introduce the Airy stress function, is employed to study the nonlinear forced vibrations of the present shells. The system is discretized by Galerkin’s method while a model involving two degrees of freedom, allowing for the traveling wave response of the shell, is adopted. The method of harmonic balance is applied to study the forced vibration responses of the two-degrees-of-freedom system. The stability of analytical steady-state solutions is analyzed. Results obtained with analytical method are compared with numerical simulation. The agreement between them bespeaks the validity of the method developed in this paper. The effects of rotating speed and some other parameters on the nonlinear dynamic response of the system are also investigated.