轴向运动带的横向与纵向振动分析

利用Hamilton原理,建立了轴向运动带横向和纵向自由振动的耦合动力学模型。基于Galekin方法对轴向运动带系统模型的状态变量作离散得到带有非线性项的常微分方程组。通过数值仿真,给出了轴向运动带的横向振动和纵向振动比较,轴向运动速度对带的横向振动和纵向振动影响,以及初张力对带的横向振动和纵向振动影响。     

轴向力作用下Timoshenko梁的横向振动

研究在轴向力作用下的Ｔｉｍｏｓｈｅｎｋｏ梁的横向振动频率特性。利用瑞雷法得到任这界条件下的系统固有频率泛函方程,对于两边均为固定端约束的情形建立了频率方程,并分别讨论了轴向力、转动惯量和剪切变形对频率方程解的影响,进而得相应的固有频率。当轴向力为零时,利用幂级数展开原理,并忽略高阶小量,得到新的固有频率和文献「１」的计算结果完全相同,从而说明所得到的在轴向力作用下的Ｔｉｍｏｓｈｅｎｋｏ梁的横向振劝     

梁横向振动方程的特征值估计

本文解决了较一般梁横向振动方程的特征值估计，其结果对力学某些方面的应用具有很重要的理论价值和实际意义。     

轴向运动带的固有频率及振动分析

研究轴向运动带的固有频率及自由振动相关问题。利用Hamilton原理,建立了轴向运动带横向和纵向自由振动的耦合动力学模型。基于Galerkin方法对轴向运动带系统模型的状态变量作离散,得到带有非线性项的常微分方程组。通过数值仿真,给出了轴向运动带的一阶和二阶固有频率的变化,以及不同张力情况下频率比值随速度的变化,同时也对轴向运动速度对带的横向振动和纵向振动的影响进行了研究。     

非均质阶梯梁的横向自由振动精确解

基于均匀等截面Ｂｅｒｎｏｕｌｌｉ－Ｆｕｌｅｒ梁的横向自由振动精确解,采用状态变量描述法。文中给出了实际算例,并对其结果进行了分析比较。     

应用有限差分法的轴向流作用下壁板的失稳分析

基于势流理论建立壁板流固耦合系统的连续型运动方程。采用有限差分法对连续型运动方程进行离散化,再把流场势函数用板的横向振动位移变量来表示,得到关于板的横向振动位移变量的控制方程。通过求解控制方程的广义特征值,对轴向流作用下壁板的稳定性进行分析。结果表明:两端简支模型发生屈曲失稳。给出了特定参数条件下壁板的屈曲失稳临界速度。     

柔性梁横向振动控制的轴向脉冲力法

应用一种新颖的变刚度振动控制原理,提出了采用施加轴向脉冲力,对柔性梁在瞬态振动下的横向振动进行主动控制的方法,并对一根两端铰支梁受瞬态扰动的振动响应控制进行了数值真计算和模型实验。     

轴向运动梁稳定性分析的通用有限元模型及应用

针对轴向运动梁系统的振动稳定性问题,建立了细梁和粗梁通用的有限元动力学模型。首先,采用三阶剪切梁理论,以一种2节点梁单元离散求解域,基于虚功原理建立了轴向运动梁系统动力学有限元方程。然后,在两端固支的边界条件下,用数值算例给出了系统前三阶复频率,与ANSYS软件计算结果进行对比,最大误差不超过1.7%,证明该建模方法对细梁和粗梁都有很高的计算精度。最后,探讨轴向运动梁振动稳定性的特点,指出稳定及失稳的速度区间,阐明了离心力和科氏力对振动特性的贡献。     

轴向运动碳纳米管增强复合材料板的自由振动研究

为了研究轴向运动碳纳米管增强复合材料(carbon nanotube reinforced composite, CNTRC)板的自由振动特性,基于经典薄板理论和哈密顿原理导出轴向运动CNTRC板的运动方程,采用伽辽金法求解不同边界条件下其自由振动频率,并通过数值算例讨论碳纳米管体积分数和分布方式、轴向运动、面内力、宽厚比、边界条件等因素对自由振动的影响。结果表明,碳纳米管显著提高了板的自振频率,轴向运动降低了板的自振频率;自振频率随面内拉力的增大而提高,随面内压力的增大而降低。另外,边界条件和碳纳米管的分布方式对自由振动频率也有一定的影响。     

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.     

Stress distribution and fatigue life of nonlinear vibration of an axially moving beam

In this paper, the effects of the nonlinear vibration on stress distribution and fatigue life of the axially moving beam are studied.The parametric excitation of the flexible material is created by the pulsating moving speed. Three-to-one internal resonance condition is satisfied. The three-parameter model is adopted in the viscoelastic constitutive relation. The nonlinear vibration of the axially moving beam with parametric and internal resonance are studied by using the direct multiple scales method(MSM)with numerical simulation confirmation. Based on the approximate analytical solution, the distribution of tensile stress and bending stress on the axially moving beam is presented by adopting a V-belt as the prototype. Based on the maximum stable cyclic stress, the limit cycle response of the V-belt is utilized to evaluate the effect of the resonance on the fatigue life. Also, the influences of the internal resonance on the steady-state responses and the fatigue life of the V-belt are revealed. Numerical examples illustrate that large unwanted resonances occur and the second-order mode receives vibration energy from to the firstorder mode. The numerical results demonstrate that the nonlinear vibration significantly reduces the fatigue life of the V-belt.The fatigue life analysis method in this paper can be applied to the excited vibration of other axially moving systems and even static continuum.     

轴向运动弦线受迫振动分析

研究轴向运动弦线的受迫振动相关问题,利用Hamilton原理,建立了轴向运动弦线横向振动的耦合动力学模型。基于Gale kin方法对轴向运动弦线系统模型的状态变量作离散得到带有非线性项的常微分方程组。通过数值仿真,给出了轴向运动弦线在不同外激励形式下的振动响应,得到轴向运动弦线受迫振动的一些规律。     

On two transverse nonlinear models of axially moving beams

Nonlinear models of transverse vibration of axially moving beams are computationally investigated. A partial-differential equation is derived from the governing equation of coupled planar motion by omit- ting its longitudinal terms. The model can be reduced to an integro-partial-differential equation by av- eraging the beam disturbed tension. Numerical schemes are respectively presented for the governing equations of coupled planar and the two governing equations of transverse motion via the finite dif- fer...     

列车荷载作用下地基土刚性对建筑物振动影响分析

建立有限元分析模型,考虑基础结构和土体的动力相互作用,研究不同土体刚性参数对附近建筑物振动影响。通过对软弱土、中软土、中硬土中结构动力响应分析,得出地基土刚性对框架结构动力响应影响规律。     

塔式多绳摩擦提升机整体振动的计算机模拟

对离散化后链状系统在某一主振型下的振动即主振动进行了研究 ,提出了用计算机模拟提升机整体振动的某一主振动的方法 ,从而可直观地了解该系统主振动的情况 ,为研究塔式多绳摩擦提升机的主振动特性提供了一个切实可行的方法 ,并给出了计算机程序流程图     

塔式多绳摩擦提升机整体振动的计算机模拟

对离散化后链状系统在某一主振型下的振动即主振动进行了研究,提出了用计算机模拟提升机整体振动的某一主振动的方法,从而可直观地了解该系统主振动的情况,为研究塔式多绳摩擦提升机的主振动特性提供了一个切实可行的方法,并给出了计算机程序流程图.     

一种含运动物体的长视频拼接技术

针对长视频序列全景图的拼接问题,提出了一种新的解决方法.该方法首先将长视频序列分段,每一段分别采用场景流形算法进行拼接,然后根据摄像机运动方向将拼接后的相邻图象采用图切割算法搜索最佳缝合线,并依次缝合所有拼接后的图像,最终得到整个视频序列的全景图.场景流形算法是通过在视频序列中构建图卡,以相似测度确定图卡的次序,并寻找贯穿整个视频的流形,完成拼接,该算法适用于存在运动物体的视频序列拼接.试验结果表明,分段拼接的方法得到的全景图可以较好的保证源图像的细节,没有明显的扭曲和变形,并且有一定的实时性,有较好的应用前景.