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阻尼振动

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Based on description method of damping motion in mechanical vibration, variables movement of generator are divided into two basic motion models: damping oscillation and critical damping motion. Detail methods of extracting damping parameters from simulation data is introduced to establish variable motion models. An approximate method is put forward to simulate low-frequency signal and generator response characteristic, from which motion models and damping parameters of main variables are obtained. The influences of oscillation amplitude, frequency and initial operating point of power system to the motion damping parameters are analyzed.

借鉴机械振动中阻尼运动的描述方法,将低频振荡下发电机主要变量的运动归纳为阻尼振荡和临界阻尼两种基本运动形态;介绍了从仿真数据提取阻尼参数建立参数运动模型的方法,实现对发电机振荡特性的量化分析;提出一种系统侧低频振荡信号的近似模拟方法,并应用于发电机响应仿真,获得了主要变量的运动模型和阻尼参数;分析了系统侧振荡幅度、频率以及初始工况对发电机功角振荡的影响。

Characteristics of free vibration and forced vibration of a damped system with dry frictional damping,viscous damping and c x·2 damping are analyzed and calculated,acceleration response of free-vibration of the dry frictional damped system has a sudden change when x· is zero,the change value is constant and depends only on the natural frequency ωn and the displacement xk due to dry friction.

本文对存在干摩擦阻尼、粘性阻尼和c.x2阻尼系统的自由振动及受迫振动特性进行了解析及数值计算,得到干摩擦阻尼系统自由振动的加速度响应在速度零点有一突变,这一变化量为定值,且只与系统固有频率ωn及摩擦当量位移xk有关。

In this part, the characteristics of transient responses of flexible rotor systems with arbitrarily distributed mass on isotropic or anisotropic supports passing through several critical speeds seguencially are examined. Here, the current knowledge of rotor dynamics on the eigenproblem of damped free whirling vibration, the generaliged damped mode theary, the transient forced vibration and so on combined with KBM asymptotic method in the nonlinear vibration theory is employed and extended.

作者综合运用并引伸推广转子动力学关于阻尼自由回旋振动的特征问题、广义阻尼模态理论、瞬态强廹振动等現代理论和方法,结合非线性振动理论中的KBM渐近法,提出自己独創見解和覌点,成功地建立起正回旋和逆回旋两种情况下转子通过临界点的瞬态振动一阶微分方程组,可以在临界点的邻域内从事方程的数值积分计算。

This approach can be applied to determine the parameter distribution of structural damping characteristics.

理论分析证实基于弹性波动力学理论下粘滞阻尼理论及复阻尼理论在杆的轴向振动及梁的横向振动中的一致性,可应用这种方法来确定杆式结构及梁式结构的阻尼特性参数分布。

According to structural characteristics of floating slab tracks, a track segment element was taken between two adjacent fasteners. For each element, rails were regarded as Euler beams supported by discrete viscoelastic supports. The fasteners and rubber supports were replaced by a linear spring and damp. So the vibration model of the floating slab track was established. In constructing vibration model of a metro train, each car of the metro train with two suspensions was modeled as a multi-rigid body system, in which rigid bodies were connected with each other by a linear spring and damp. Combining the potential energy of vertical vibration of the track with that of the metro train, the total potential energy of vertical vibration of the train and track was obtained. And then, the matrix equation of vertical vibration of the system was established using the principle of total potential energy with stationary value in elastic system dynamics and the "set-in-right-position" rule for formulating system matrices. The vibration responses of the system can be obtained by solving the matrix equation with the direct time integration such as Wilson-θ method.

摘 要:针对浮置板式轨道结构特点,取相邻2个扣件之间的轨道为1个轨段单元,钢轨视为连续弹性点支承Euler梁,浮置板视为弹性薄板,扣件系统及橡胶支座均模拟为线性弹簧及粘滞阻尼器,建立浮置板式轨道振动模型;将城轨列车中的车辆均离散为多刚体系统,各刚体之间通过线性弹簧及粘滞阻尼器相连,建立列车振动模型;将浮置板式轨道及列车振动势能叠加,得到系统竖向振动总势能;基于弹性系统动力学总势能不变值原理及形成系统矩阵的"对号入座"法则,建立此系统竖向振动矩阵方程;采用Wilson-θ逐步积分法求解此矩阵方程,得出此系统竖向振动响应。

The influences of the stiffness and damping of front spring,rear spring and seat cushion were analyzed by orthogonal tests.The seat cushion is the most important for the seat vibration,and the front spring makes a more important effect on seat vibration and hand vibration than the rear spring, the effect of the front spring on seat vibration and hand vibration is not consentaneous.

利用正交优化法分析了悬架、坐垫参数对平顺性的影响,结果表明:坐垫参数对座位处振动影响最大,相比后悬架,前悬架参数对座位处和手把处振动的影响大,前悬架小刚度大阻尼对座位处振动有利,前悬架大刚度小阻尼对手把处振动有利。

The specific contents are as follows:Firstly, the causes of energy balance method result has some errors is analyzed. Then energy balance method is improved from the following aspects: the wind power input, the conductor self-damping, the damper dissipated power and vibration solution of Stockbridge dampers-conductor coupling system. So that improved energy balance method can consider more influential factors to enhance accuracy.

本文对输电线的微风振动控制和次档距振荡进行了多方面的研究,主要包括能量平衡法的改进、防振锤-输电线耦合系统的振动求解、阻尼线的耗能计算理论、微风振动的室内模拟试验、分裂导线微风振动的精细计算理论、多分裂导线的最大次档距和阻尼间隔棒优化布置等几部分,具体如下:首先分析了微风振动传统计算方法能量平衡法计算误差较大的原因,分别从风能输入功率、输电线自阻尼功率、防振锤消耗功率、输电线-防振锤耦合体系的振动求解等方面,对能量平衡法进行了改进,使能量平衡法可以考虑更多的影响因素以提高求解精度。

In accordance with damping layer position, damping layer value, damping layer length for free vibration and forced vibration to discuss which restrain vibrate effetely.

分别针对阻尼层的位置、阻尼层长度、阻尼值的大小在自由振动与强迫振动探讨其抑制振动效果。

Because the error mainly comes from theresonant region, the error correction method can only be used in resonant region, andcan effectively improve the efficiency of the statistical analyzing solutions. Two types of the mistuned bladed disks, whose friction damping are blade dryfriction damping and blade-to-blade dry friction damping, are modeled respectively. Amulti-harmonic method which can employ the fast Fourier transformationtechnique is proposed to investigate the vibratory response of the bladed disks withthese two types of nonlinear friction damping. Formulations of the solution for thesetwo types of motion functions are deduced. The characteristics of the forced responseof the bladed disks with these two dry friction damping are analyzed and summarizedunder various system parameters. The vibratory response of the bladed disk with dryfriction scatter mistuning is investigated.

针对叶盘系统中两类主要的非线性干摩擦阻尼形式,分别建立了具有叶片干摩擦阻尼和叶间干摩擦阻尼的失谐叶盘系统的非线性力学模型;提出了一种可利用快速傅立叶变换技术的多谐波分析方法;分别推导了具有这两类干摩擦阻尼形式的叶盘系统运动方程的求解公式;在各种系统参数条件下,研究了干摩擦阻尼失谐叶盘系统的受迫振动响应特性;对具有干摩擦散乱失谐的叶盘系统振动响应进行了研究,分析总结了干摩擦散乱失谐对叶盘系统振动响应特性的特殊影响规律。

In this paper,using mild steel plate have stable hysteresis under loading and unloading repeated cycles,designed a U shape mild steel plate damper,an hysteresis loop and analytical model was carried out by experimental test At last,this damper is .

振动控制是结构抗震防灾的一种积极有效手段,目前对于大跨空间结构的振动控制技术不是很成熟,利用软钢板在反复循环荷载作用下具有稳定的滞回特性,设计了U形软钢板阻尼器,通过试验得出该阻尼器的滞回曲线,建立了该阻尼器分析模型。

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