振动磨非线性碰撞振动的建模与分析

振动磨系统的非线性主要来自散体介质的变质量碰撞,其中主碰撞和亚谐碰撞对系统动力学影响最为显著。主碰撞不但具有时变性,而且与空间坐标有关。基于研究的新进展,考虑到散体重心的动态偏移,提出了三自由度非线性振动模型,用平均法进行了求解分析,用时间序列分析的方法估计了变质量模型参数。分析求得机器振幅与实测值吻合较好,验证了所提出的理论和方法。     

基于海冰区划的平台结构振动舒适度设计--容许加速度限值

海冰作用下平台结构的振动舒适度是冰区导管架平台结构设计需要考虑的重要问题，传统的单一界限方法由于不能考虑冰期的长短和冰情出现概率，从而导致了不同冰区平台结构具有不同的振动舒适度水平。引入了对振动舒适度进行量化的烦恼率模型，结合冰期和冰情出现概率，给出了不同冰期和冰情出现概率下结构容许振动加速度的确定方法。结合我国渤海的海冰区划，给出了不同冰区结构容许振动加速度值。     

基于能量竞争载荷模型的海洋立管双向涡激振动时域预报方法研究

海洋立管是深海油气开发中用于连接海底井口和水面浮体的唯一通道。立管在洋流作用下极易发生涡激振动（vortex-induced vibration,简称VIV）,发展快速经验性涡激振动时域预报方法对立管的安全设计具有重要意义。通过柔性立管模型试验,结合载荷重构方法和最小二乘法,识别建立了能量竞争载荷模型下的经验水动力载荷系数模型。应用识别建立的经验水动力载荷系数模型,发展形成了海洋立管顺流向及横流向双向涡激振动时域预报方法。将预报结果与试验结果对比,结果表明：基于能量竞争载荷模型的海洋立管双向涡激振动预报方法能够有效预报海洋立管涡激振动主导模态、主导频率、流向平均位移响应和涡激振动位移响应等力学行为特性。研究成果对发展更为有效的涡激振动预报手段具有有益参考。     

冰激振动及冰荷载动力特性的试验研究

回顾了解决海冰引起结构振动分析方法的要求，通过室内冰力模型试验得出了冰激振动的重要参数－冰力频率，幅值的特性。研究表明，在低冰速时，冰力频率与冰速对冰厚之比呈线性关系；高冰速时，冰力步与冰速对冰厚之比呈现恒定性，文章还根据试验数据以及统计分析，推荐了冰力幅值计算公式和取值范围。     

圆板结构周向表面裂纹识别的振动功率流方法

从结构噪声的观点,利用振动功率流方法对圆板在集中力作用下的周向表面裂纹进行了诊断研究。周向表面裂纹模拟为转动弹簧,利用断裂力学的有关理论得到其转动刚度。在高频情况下,研究了圆板在中心受集中载荷作用下的弯曲波运动以及输入的振动功率流,分析了振动功率流与破损位置及其特征尺寸的关系,从而可进行有效的破损诊断。     

低雷诺数下圆柱涡激振动的二维有限元数值模拟

采用有限元方法求解原始变量的二维不可压粘性流体的N-S方程,计算了雷诺数从90到150范围内圆柱绕流引起的涡激振动,完整地再现了流固耦合系统从不共振到频率锁定,再到脱离锁定的过程,成功地预测到了涡激振动的“拍”和“锁定”现象,并与A nagnostopou los和B earam an的试验结果进行了比较。计算涡激振动时用ALE方法分析圆柱和流体的耦合作用,圆柱振动被简化为质量-弹簧-阻尼系统。     

冬季山东南部沿海水温10—20天的周期性振动

使用谱分析和数字滤波等方法,对山东南部沿海冬季的日平均水温、水位、海平面气压和风场等历史资料(1973—1983)做了分析。结果发现,这里的水温和水位存在10—20天的振动,这种振动与同期气压场和沿岸风的振动相同,陆架水温和水位的这种天气尺度振动恰好是对冬季风强迫的响应。为证明这一物理过程,设计了一个简单的线性理论模式,并用Laplace变换获得了其解析解,证明了上述响应的物理机制。     

在建导管架平台圆管风致涡激振动及减振研究

研究了大型导管架平台卧式建造时出现单边约束圆管的风致涡激振动问题。将建造过程中单边约束的导管架圆管简化成悬臂梁模型,采用van der Pol尾流振子模型模拟圆管受到的流体力,建立了圆管风致涡激振动动力学方程。使用伽辽金方法对建立的运动方程进行求解,数值分析了圆管在特定约化风速下的涡激振动特性。在圆管上附加非线性能量阱(NES)作为被动减振装置对圆管进行减振,并采用粒子群优化算法对NES的非线性刚度和阻尼参数进行了优化。结果表明,在约化速度为4.8时,得到的NES优化的非线性刚度和阻尼参数组合可以有效减小悬臂梁自由端风致涡激振动位移。本研究说明采用NES和粒子群优化算法可以有效减小圆管的风致涡激振动,为导管架安全建造提供一定的参考。     

水中悬浮隧道锚索参数振动分析和控制

为了进一步研究水中悬浮隧道锚索的参数振动以及振动控制,考虑到流的影响,建立水中悬浮隧道锚索的非线性振动模型,并利用数值方法推导求解了锚索的非线性振动方程,同时采用一种被动质量阻尼器进行振动控制。研究结果表明:锚索的参数振动与锚索的初张力、参数激励幅值、频率比有关,并具有明显的非线性特征;流的作用会对锚索的参数振动幅值产生一定影响,但流的作用不会改变锚索的共振规律;对锚索参数振动提出的振动控制装置,计算结果表明具有良好的减振效果。     

防振锤对深水导管架圆管风致涡激振动抑制研究

研究了阻尼防振锤对深水导管架圆管风致涡激振动的抑制。建立了防振锤动力学模型,分析了防振锤的动力学特性;将在建深水导管架圆管简化为固支梁,建立了结构有限元模型,通过瞬态分析计算了圆管的振动幅值;在圆管中部添加防振锤,分析了防振锤对圆管振动的抑制效果;进行了现场测试,对比了数值模拟和实际测试管道的振动响应。研究表明,文中设计的防振锤可以有效地抑制圆管的涡激共振;数值模拟结果与测试结果非常接近,验证了数值分析方法的有效性。     

On the Vibration Reduction Effect of Offshore Platform Vibration Distribution Structure

Based on the Bohai ocean environment characteristics, a new platform vibration distribution structure is designed to reduce the platform vibration due to flowing ice. The effect of the earthquake wave and ocean wave load on this vibration distribution structure is considered in the design. The principal idea of this new vibration distribution structure is dividing the platform main column into the inner tube and the outer tube. The outer tube is connected with the leg pontoon by braces, while the inner tube is used to support the platform deck. The inner tube and outer tube can be connected or disconneted in the region near the water line. For evaluating the vibration reduction effect of such a structure, tests are carried out on a steel model, and the external load of flowing ice, earthquake wave and ocean wave are simulated by concentated random load applied to different points of the model. The tests are performed in water media and air media respectively. The vibration reduction effect is evaluated     

Parametric Vibration Analysis of Submerged Floating Tunnel Tension Legs

According to the characteristics of submerged floating tunnel anchored by tension legs,simplifying the tube as point mass and assuming that the tension leg is a nonlinear beam model hinged at both ends,the nonlinear vibration equation of the tension leg is derived.The equation is solved by the Galerkin method and Runge Kutta method.Subsequently,numerical analysis of typical submerged floating tunnel tension leg is carried out.It is shown that,the parametric vibration response of the submerged floating tunnel tension leg is related to the amplitude and frequency of the end excitation.Without considering axial resonance and transverse resonance,it is reasonable that higher order modes are abandoned and only the first three modes are considered.The axial resonance amplitude of the second or third order mode is equivalent to the first order mode axial resonance amplitude,which should not be ignored.     

Experimental Study on Cross-Flow Induced Vibrations in Heat Exchanger Tube Bundle

Vibration in heat exchangers is one of the main problems that the industry has faced over last few decades. Vibration phenomenon in heat exchangers is of major concern for designers and process engineers since it can lead to the tube damage, tube leakage, baffle damage, tube collision damage, fatigue, creep etc. In the present study, vibration response is analyzed on single tube located in the centre of the tube bundle having parallel triangular arrangement (60°) with P/D ratio of 1.44. The experiment is performed for two different flow conditions. This kind of experiment has not been reported in the literature. Under the first condition, the tube vibration response is analyzed when there is no internal flow in the tube and under the second condition, the response is analyzed when the internal tube flow is maintained at a constant value of 0.1 m/s. The free stream shell side velocity ranges from 0.8 m/s to 1.3 m/s, the reduced gap velocity varies from 1.80 to 2.66 and the Reynolds number varies from 44500 to 66000. It is observed that the internal tube flow results in larger vibration amplitudes for the tube than that without internal tube flow. It is also established that over the current range of shell side flow velocity, the turbulence is the dominant excitation mechanism for producing vibration in the tube since the amplitude varies directly with the increase in the shell side velocity. Damping has no significant effect on the vibration behavior of the tube for the current velocity range.     

Physical Modeling and Parametric Study on Two-Degree-of-Freedom VIV of A Cylinder near Rigid Wall

Unlike most previous studies on the transverse vortex-induced vibration(VIV) of a cylinder mainly under the wallfree condition (Williamson & Govardhan,2004),this paper experimentally investigates the vortex-induced vibration of a cylinder with two degrees of freedom near a rigid wall exposed to steady flow.The amplitude and frequency responses of the cylinder are discussed.The lee wake flow patterns of the cylinder undergoing VIV were visualized by employing the hydrogen bubble technique.The effects of the gap-to-diameter ratio (e0/D) and the mass ratio on the vibration amplitude and frequency are analyzed.Comparisons of VIV response of the cylinder are made between one degree (only transverse) and two degrees of freedom (streamwise and transverse) and those between the present study and previous ones.The experimental observation indicates that there are two types of streamwise vibration,i.e.the first streamwise vibration (FSV) with small amplitude and the second streamwise vibration (SSV) which coexists with transverse vibration.The vortex shedding pattem for the FSV is approximately symmetric and that for the SSV is alternate.The first streamwise vibration tends to disappear with the decrease of e0/D.For the case of large gap-to-diameter ratios (e.g.e0/D = 0.54～1.58),the maximum amplitudes of the second streamwise vibration and transverse one increase with the increasing gapto-diameter ratio.But for the case of small gap-to-diameter ratios (e.g.e0/D = 0.16,0.23),the vibration amplitude of the cylinder increases slowly at the initial stage (i.e.at small reduced velocity V,),and across the maximum amplitude it decreases quickly at the last stage (i.e.at large Vr).Within the range ofthe examined small mass ratio (m＜4),both streamwise and transverse vibration amplitude of the cylinder decrease with the increase of mass ratio for the fixed value of V,.The vibration range (in terms of Vr ) tends to widen with the decrease of the mass ratio.In the second streamwise vibration region,the vibration frequency of the cylinder with a small mass ratio (e.g.mx = 1.44) undergoes a jump at a certain Vr,.The maximum amplitudes of the transverse vibration for two-degree-of-freedom case is larger than that for one-degree-of-freedom case,but the transverse vibration frequency of the cylinder with two degrees of freedom is lower than that with one degree of freedom (transverse).     

Free vibrations of rectangular plates elastically restrained against rotation with circular or square free openings

The fundamental frequency of vibration of plates elastically restrained against rotation along the edges and with centrally located circular or square holes is determined by means of the optimized Rayleigh's method. Independent solutions are also obtained using the finite element method.A comparison with experimental values is also presented in the case where the plate is rigidly clamped along the four edges.     

波流作用下悬浮隧道运动响应纵向截断模型试验研究

利用波流水槽构建悬浮隧道纵向截断模型试验,分析了水流及波浪作用对悬浮隧道运动响应的影响,获得了管体结构的垂向及横向运动响应特性。研究结果表明:水流流速较小时,模型振幅随约化流速Vr增大而增大,而在约化流速为5.8附近,管体振幅达到最大并在这一临界值之后形成较为稳定的振幅值,产生明显的结构共振和涡激振动“锁定”现象。振幅稳定后垂向幅值约为管径的2倍,横向幅值与管径相当。对于波浪单独作用,在波浪较弱时,横向幅值与垂向几乎相等,随着特征KC_n数的增大,响应振幅先增后减。在特征KC_n数小于0.51范围内,垂向振幅大于横向振幅,其余范围则相反。垂向振幅和横向振幅分别在特征KC_n数为0.42和0.55时达到峰值,且两个方向的最大振幅值均与管体的管径相当。相对响应频率随着特征KC_n数的增大而减少,且垂向大于横向。     

Experimental investigation on the flow induced vibration of an equilateral triangle prism in water

A series of flow induced vibration (FIV) experiments for an equilateral triangle prism elastically mounted in a water channel are performed with different system stiffness at constant damping and mass. An amplitude variation coefficient is proposed to describe FIV stationarity in the present study. The FIV of the prism can be divided into three primary regions based on the amplitude and frequency responses, which are the vortex induced vibration (VIV) branch, the transition branch from VIV to galloping, and the galloping branch. The transition branch occurs at the reduced velocity in the range of 7.8 < U_r = U/(f_n,air·D) < 10.4, accompanied with a relatively rapid increase in amplitude and a precipitous drop in frequency and vibration stationarity. In addition, the reduced velocity where the transition region is initiated is independent of the system stiffness. The maximum amplitude reaches 3.17 D in the galloping branch. The ratio of the response frequency to the natural frequency of the prism in air remains locked to approximately 0.65 throughout the fully developed galloping branch. Large amplitude responses in an infinite range of flow velocities, excellent vibration stationarity and steady vibration frequencies, which are characteristics of the galloping of the prism, have a positive impact on improving energy conversion.     

Characteristics of Pore Water Pressure of Saturated Silt Under Wave Loading

The characteristics of dynamic stress in the seabed under wave loading are constant principal stress and continuous rotation of the principal stress direction.Cyclic triaxial-torsional coupling shear tests were performed on saturated silt by the hollow cylinder apparatus under different relative densities,deviator stress ratios and vibration frequencies to study the development of pore water pressure of the saturated silt under wave loading.It was found that the development of pore water pressure follows the trend of "fast～steady～drastic".The turning point from fast to steady stage is not affected by relative density and deviator stress ratio.However,the turning point from steady to drastic stage relies on relative density and deviator stress ratio.The vibration cycle for the liquefaction of saturated silt decreases with increasing deviator stress ratio and increases with relative density.The vibration cycle for the liquefaction of the saturated silt increases with vibration frequency and reaches a peak value,after which it decreases with increasing vibration frequency for the relative density of 70%.But the vibration cycle for the liquefaction of saturated silt increases with vibration frequency for the relative density of 30%.The development of pore water pressure of the saturated silt is influenced by relative density and vibration frequency.     

Free and damped vibrations of an orthotropic rectangular plate with one edge free while the rest are elastically restrained against rotation

This paper is concerned with the vibrations of an orthotropic rectangular plate with one edge free while the rest are elastically restrained against rotation. The plate is assumed to be thin and its vibration amplitudes small. The plate is in contact with an ideal fluid of infinite extent and the plate-fluid interaction is considered to be quasi-coupled. The calculations are carried out by the Ritz method and the fundamental frequencies for the free and damped vibrations of the rectangular plate are presented. The fluid effect upon the fundamental frequency is briefly discussed.     

涡激振动对船舷安装的相干声纳条带测深系统测量精度影响分析

相干声纳条带测深系统采用船舷安装时,连接系统水下单元的钢管在水流作用下可能发生共振和频率锁定而剧烈振动,其下端的以换能器为主的系统水下单元也会随之摆动,使数据质量和测量精度受到影响。笔者通过分析在实际工作中遇到的问题发现:连接系统水下单元的钢管越长,钢管越容易在低流速条件下发生共振现象;换能器剧烈摆动会造成大量噪音信号;换能器摆动幅度较大时系统的安装校准会失效。本文通过解析计算得出了在现场操作中不同悬挂长度的钢管发生频率锁定时的控制流速以及换能器最大摆动幅度,认为实际工作中换能器距固定点在1.0m以内是可靠的,并对现场操作中如何减弱和避免涡激振动对系统精度的影响提出建议。