贮液容器的晃动分析

贮液容器在晃动下的液固耦合振动问题是人们一直想解决的工程难题之一.本文以能量法导出了随时间作交替晃动的贮液容器的广义变分泛函,给出了这类问题的解法,并通过数值算例,对这类耦合振动的特征作了简要的分析.     

部分潜入水中椭圆柱体的扭振分析

本文研究部分潜入水中椭圆柱体的扭转振动问题.利用 Mathieu 级数以及三角级数的正交完备性,导出了柱水耦联体系振型函数和频率方程的精确解析式.研究还表明,水体对椭圆柱体振动特性的影响等效于一附着在柱体上的广义分布质量.     

贮液容器水动弹性分析的伽辽金有限元——自由界面模态综合方法

本文提出一种计算弹性容器——有自由面贮液流固耦合系统的固有振动模态和液体动压力、自由液面位移及容器弹性变形对地震等激励的响应的伽辽金有限元——自由界面模态综合方法,着重处理旋成贮液容器的水动弹性问题。该方法计及全部流固动力耦合效应,但显著压缩了计算规模,计算结果与试验符合得很好。当需要在多种贮液深度进行贮液容器的水动弹性分析时,本方法尤其经济有效。     

风机塔筒结构横向振动特性的快速计算方法

本文提出了一种风机塔筒结构横向振动特性的快速计算方法．将机舱和叶片整体、连接法兰盘分别简化为集中质量,塔筒简化为非均匀悬臂梁,建立风机塔筒结构横向振动方程．给出了用假设模态法计算塔筒结构固有频率和模态函数的过程．通过与文献及有限元数值结果比较验证了方法的有效性．本文方法仅需给出结构的基本参数,如截面半径变化规律、法兰盘位置和质量、机舱及叶片质量,便可快速求解其频率和模态,无需建立其复杂的力学模型．     

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主要基于三维弹性力学和状态空间法给出了四边简支各向同性矩形层合板自由振动和 强迫振动问题的精确解. 首先基于三维弹性力学建立了层合板的基本方程,利用状态空间法 解决了层合板的自由振动问题,然后根据Lagrange动力学方程求解了层合板受到横向冲击时 的强迫振动响应.     

带式输送机胶带横向振动的分析

本义将带式输送机的回空分支胶带简化为两对边为简支边另两对边为自由边的正交各向异性弹性薄板(S-F-S-F板).首先,利用迭加原理得出胶带横向振动加速度的解析解;其次,对胶带横向振动加速度进行了计算结果分析及试验结果分析.     

部分浸入水中的柔性梁非线性自由振动

研究了浸入水中的柔性梁非线性自由振动,假设其底端具有线弹性扭转弹簧支撑,顶端附有不计体积的集中质量块.推导了梁的运动控制方程和边界条件,由于考虑了大挠度,法向运动和轴向运动是非线性耦合的,使用Morison方程给出了流体力的表达式,利用有限差分法和Runge-Kutta法数值分析了梁在真空中和在水中的自由振动,讨论了参数对振动模态、固有频率等的影响.     

分布轴向力作用下隔水管横向自由振动分析

隔水管固有频率的精确计算对保证隔水管的安全使用和防止共振的发生有着极为重要的意义.在分析中,考虑了分布轴向力和顶张力的共同作用,建立了隔水管横向振动力学模型;基于牛顿定律和纵横弯曲梁理论,对微单元受力分析,得到隔水管横向自由振动的四阶偏微分方程;利用分离变量法将四阶偏微分方程简化为四阶变系数常微分方程;采用积分法求解四阶变系数常微分方程,得到隔水管横向自由振动固有频率的解析解.结果表明:(1)分布轴向力作用下隔水管横向自由振动的固有频率和振型,与将分布轴向力简化为集中力作用下隔水管的固有频率和振型有很大差别;(2)顶张力一定时,随着分布轴向力减小,隔水管固有频率增大;分布轴向力一定时,随着顶张力增大,隔水管固有频率增大;(3)采用积分法求解隔水管横向振动特性时,计算精度高,为隔水管的优化设计提供了可靠的理论依据.     

各向异性矩形板和环扇形板横向自由振动的一种通用解法

提出各向异性矩形板和环扇形板在弹性边界约束下横向自由振动的通用解法。对于各向异性环扇形板，引入径向对数坐标简化其基本理论。两种不同形状板的几何参数和势能可建立统一的表达式，基于改进Fourier级数和Hamilton原理，从而实现板自由振动问题的统一求解。两种形状板自由振动问题的通用解法具有广泛适用性、高精度和高效性。其收敛性和精度得益于位移的改进Fourier级数的表达，可消除初始横向位移函数及其导数在整个区域内的潜在不连续。所提方法的这些特征通过若干数值算例得到验证。     

非线性自由振动的迭代响应法

构造了一个考虑横向振动和板面内运动的三节点几何非线性等参环形板单元,采用迭代求响应的方法,研究了中心附有刚性质量块的非线性轴对称自由振动的频率,与已有的结果比较表明,本文的方法得到更为精确的数值结果。     

再生式液体发射药火炮贮液室流体响应特性的分析

在再生式液体发射药火炮中，贮液室流体系统可能发生由自激振动与强迫振动构成的耦合振荡，在喷射结束期很可能形成共振。文中利用线性化近似方法推导出流体系统压力与流速的传递方程，并分析了贮液室流体系统对于瞬变激励的响应模态，其结论得到了实验结果的验证。这种研究方法对于再生式液体发射药火泡机构设计有重要的指导意义。     

Effect of a Shock Pulse on a Floating Ice Sheet

The vibrations of a viscoelastic plate lying on an elastic liquid base subjected to pulse loading have been studied theoretically and experimentally. The effect of the variable depth of the reservoir, plate thickness, and strain relaxation time on the value of the plate vibration amplitude and the length and curvature of the flexural gravity wave profile are analyzed. Good agreement of theoretical and experimental results is obtained.     

Active TLCGD control of plane asymmetric buildings under earthquake excitation

The sealed,tuned liquid column gas damper (TLCGD) with gas-spring effect extends the frequency range of application and efficiently increases the modal structural damping.Active tuned liquid column gas damper (ATLCGD) is developed for the vibration control of plane asymmetric buildings subjected to earthquake excitation,improving the performance of the passive control scheme.The active behaviour is obtained by adjusting the pressure at the end of the liquid column using a pressurised reservoir.The classical linear quadratic regulator (LQR) design is presented as a straightforward approach to optimal control.Numerical simulations indicate a significant vibration reduction of plane asymmetric buildings by active control within the strong motion of the dynamic response.     

Experimental investigation on the effect of vibration on flow of liquid film in a horizontal duct

Effect of vibration on characteristics of a thin liquid film in a horizontal rectangular duct was studied experimentally in two flow regions viz, prebreak-up and break-up for Re _f =400–900. The lower surface of the duct on which liquid film flows was subjected to external vibration in the range of 25–1000 Hz. The instantaneous film thickness which was recorded by conductivity measurement gauges was analysed statistically. Results of structural changes in liquid film due to external vibration and without it are reported in this paper.     

爆破开挖振动下既有大型储油罐的动力响应

针对既有大型储油罐近区基础爆破开挖中的安全问题,采用ANSYS/LS-DYNA的隐式-显式顺序求解方法,结合流固耦合算法,研究了爆破振动下大型储油罐的动力响应规律。分析了罐壁不同位置的质点振速,由于质点振速分布情况较为复杂,不宜用局部质点振速判断罐壁危险点;总结了罐壁上应力的分布规律,结果显示爆破振动对储油罐的影响主要集中在迎爆侧下部,且在罐壁迎爆侧高度为3 m左右的位置最易发生象足屈曲;分析了不同频率爆破振动作用下满载储罐罐壁的质点振速,结果表明在爆破振动主频范围内,载荷频率远大于储罐固有频率条件下,罐壁上质点振速随着爆破振动频率的降低呈减小趋势;建立了储油罐罐壁质点振速与罐内液面高度的关系,结果表明降低液面高度可以有效提高储油罐的爆破振动安全阈值,爆破施工中邻近储罐储液高度不宜高于10 m。     

Free bending vibration of annular cylindrical tank partially filled with liquid in the consideration of surface wave

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The free bending vibration of cylindrical tank partially filled with liquid and submerged in water

This paper studies the free bending vibration of cylindrical tank partially filled with liquid and submerged in water. The depths of liquid and water may be completely arbitrary. The exact calculating formulae of mode shape functions and inherent frequencies are deduced. The results can be gained by means of computer. The analysis shows that the effect of liquid and water on vibration of cylindrical tank is respectively equivalent to a generalized distributive mass attached to the tank.     

Investigation on two-phase flow-induced vibrations of a piping structure with an elbow

The dynamic behaviors of a horizontal piping structure with an elbow due to the two-phase flow excitation are experimentally investigated. The effects of flow patterns and superficial velocities on the pressure pulsations and vibration responses are evaluated in detail. A strong partition coupling algorithm is used to calculate the flow-induced vibration (FIV) responses of the pipe, and the theoretical values agree well with the experimental results. It is found that the lateral and axial vibration responses of the bend pipe are related to the momentum flux of the two-phase flow, and the vibration amplitudes of the pipe increase with an increase in the liquid mass flux. The vertical vibration responses are strongly affected by the flow pattern, and the maximum response occurs in the transition region from the slug flow to the bubbly flow. Moreover, the standard deviation (STD) amplitudes of the pipe vibration in three directions increase with an increase in the gas flux for both the slug and bubbly flows. The blockage of liquid slugs at the elbow section is found to strengthen the vibration amplitude of the bend pipe, and the water-blocking phenomenon disappears as the superficial gas velocity increases.     

Vibration effect on convection onset in a system consisting of a horizontal pure liquid layer and a layer of liquid-saturated porous medium

The onset of convection in a system of two horizontal layers (a pure liquid and a porous medium saturated with the same liquid) heated from below under the action of vertical vibration is investigated. For describing the free thermal convection, in the liquid layer the Boussinesq approximation and in the porous layer the Darcy-Boussinesq approximation are used. In the limiting case of a thin liquid layer, effective boundary conditions on the upper boundary of the porous layer with account for convection in the liquid layer are obtained and it is shown that vibration has a stabilizing effect, whereas the presence of a liquid layer leads to destabilization. For an arbitrary liquid to porous layer thickness ratio the onset of convection is investigated numerically. In the case of a thin liquid layer there are two (short-and long-wave) unstable modes. In the case of thick layers the neutral curves are unimodal. Vibration has a stabilizing effect on perturbations with any wave number but affects short-wave perturbations much more strongly than long-wave ones.     

Vibrational convection in a saturated porous medium in the absence of thermal equilibrium between the solid and liquid phases

Thermal vibrational convection in a saturated porous medium is theoretically studied on the basis of a thermal nonequilibrium model, in accordance with which the temperatures of the porous medium and the saturating liquid can be different. In the high-frequency vibration approximation the averaged equations of convection are derived. The dependence of the vibration force direction on the interphase heat transfer coefficient and the vibration frequency is established. Vibrational convection in a cylindrical layer is studied. It is shown that, depending on the interphase heat transfer coefficient, the flows of two types differing in the liquid circulation direction can exist.