夹层输流管道弹性波频散特征分析

对无限长夹层输流管道的管壁弹性波频散特征、管内流体声波频散特征,以及弹性体与流体声固耦合的波传播频散特征进行了研究与分析.基于铁木辛柯梁模型构建弹性体管道的波数解析式.考虑声固耦合效应,对无限长夹层输流管道的管壁弹性波与管内流体声波相互耦合的波数和模态振型进行了求解.运用参数化扫描,分别计算了管内流体域为水和空气情况下...     

波在考虑热载荷和转动惯量效应的非线性大变形多层压电层合壳内的传播研究

研究了非线性大变形、层合壳的铺设形式、转动惯量及热载荷效应对波在压电层合壳中传播的影响。首先利用Hamilton最小势能变分原理推导了波在大变形压电层合壳内传播的非线性动力学平衡方程;通过求解方程特征值得到了波传播特征曲线;数值算例表明波在压电层合壳内传播与壳体大变形、转动惯量以及热载荷有关,并与线性小变形理论(Cooper-Naghdi壳体理论)进行了比较。     

充液壳中管壁接头对振动波传播的控制作用

研究一无限长充液圆柱壳的自由振动特性，考虑当传播波入射到充液柱壳时，其中插入的管壁接头对入射波的反射与透射情况。发现入射波频率、管壁接头的几何与物理特性对入射波有较大影响。这些结论对于工程实际中控制输液管的振动有参考价值。     

弹性接触层对双层柱壳中纵波传播特性的影响

基于弹性波理论,研究了轴对称纵波在具有较薄弹性接触层的双层中空柱壳中的传播特性。当接触层厚度远远小于波长时,忽略接触层的惯性运动,根据自由边界和弹性层接触界面条件,导出了轴对称纵向自由波传播的无量纲频散方程,利用数值方法求得频散方程的实数根,并将得到的频散关系与已有文献的计算结果对比,验证了该方法的正确性。通过算例分析了接触层参数对纵波第一模态相速度频散关系及壳体内应力、位移的影响,结果表明：波长越短接触层对频散关系的影响越为显著,同一波数条件下,相速度随着接触层厚度增大而增大;壳体内应力、位移随着接触层单位层厚刚度的增大而减小,但受接触层泊松比变化的影响不大。     

基于流固耦合的水力瞬变三维模拟及管壁动态应力分析

水力瞬变也称为水锤,是由于管道内压力瞬间升高,压力波在管道内以声速传递的现象。紧随着压力波,管壁上产生动态应力,进而导致管道失效。基于ALE流固耦合方法模拟由于阀门突然关闭导致的管道中流体冲击波,并与一维水锤冲击波理论值进行了对比。在此基础上分析了不同约束条件下,距离管道末端一定距离,由于管壁变形和振动而产生的三维动态应力。发现在水锤波传播过该位置一段时间之后,管壁应力才达到最大值,此外管壁周向应力在动态应力中影响是最主要的。     

用波传播方法分析复合材料层合圆柱壳的振动

用一阶剪切变形理论获得复合材料层合圆柱壳的运动微分方程，再应用波传播方法分析其自由振动的频率。通过比较，本文的计算方法所得的结果与文献^[5]比较吻合。本文还研究了几种壳体参数对圆柱壳自由振动频率的影响。h／R的比值对频率影响当周向模态n=3时较大，n=2时次之，n=1时较小。E1／E2的比值越大，频率越大。辅层的角度在n较小时对频率的影响不大，在n比较大时，角度越小影响越大。     

基于压电驱动的圆柱壳内振源振动传递控制

针对圆柱壳内振源振动通过环形支承向壳体传递的问题,提出一种基于压电作动器的主被动支承隔振方案,并通过振源-主被动支承-壳体耦合系统进行振动控制分析。根据Flugge壳理论,采用波传播法建立圆柱壳体振动模型,同时采用有限元方法建立振源及主被动支承的振动模型,最终使用子结构频响函数综合获得耦合系统振动模型。基于耦合系统模型和理想控制假设,在频域给出壳体振动可控性,并通过振源-主被动支承-壳体试验系统验证控制的有效性。仿真与试验结果表明,基于压电作动器的主被动隔振方案能显著降低壳体的宽带和线谱振动。     

超声板波

计算数学中的伴随法不但是求解两维耦合振动问题的好方法，而且也能用来求解波的传播问题。本文中，作者同样从三维弹性普遍方程出发，只假定波是沿Ｘ１方向传播，从而求得各向异性板中波的传播的频散方程和对应于各频率的传播模式。在板为各向异性时，质点在三个方向上的运动是互相耦合在一起的。当板为各向同性时，运动方程分解为独立的两组，一组只包合质点在Ｘ２方向的运动，其对应的波型为 Ｌｏｖｅ型；另一组只包含马和 Ｘ１和Ｘ３方向的运动，其对应的波型为 Ｌａｍｂ型。     

基于相似理论对水下复杂壳体的振动和声辐射预报

采用有限元和球函数相结合的方法，建立水下复杂壳体——两端带半球壳的加肋弹性圆柱壳的振动、耦合振动和声辐射方程，运用方程分析法，导出水下复杂壳体的振动、耦合振动和声辐射的相似关系，根据建立的相似关系实现对壳体的振动响应和声辐射的预报。采用大型有限元软件ANSYS对具有相似关系的模型和原型的振动响应和尸场进行分析，算例表明，方法切实可行并且为预报水下大型复杂结构体的振动响应和耦合声场提供了一种简洁、实用的研究方法。     

接触爆炸荷载下金属管道中应力波数值分析

以大口径金属管道为对象,通过数值模拟研究了金属管道在局部外接触爆炸荷载作用下的应力波对其的效应。根据管道应力波传播过程的数值模拟结果,分析了管壁中应力波产生、发展和传播的过程及应力波形特点;比较了管道发生破坏前后应力状态的变化;阐述了管壁各观测点切向、径向与轴向应力随时间的变化特征,并探讨了其中的原因。     

Coupled axisymmetric vibration of nonlocal fluid-filled closed spherical membrane shell

In this paper, the axisymmetric vibration of a fluid-filled spherical membrane shell is studied based on nonlocal elasticity theory. The membrane shell is considered elastic, homogeneous and isotropic. The shell model is reformulated using the nonlocal differential constitutive relations of Eringen. The membrane shell is completely filled with an inviscid fluid. The motion of the fluid is governed by the wave equation. Nonlocal governing equations of motion for the fluid-filled spherical membrane shell are derived. Along the contact surface between the membrane and the fluid, the compatibility requirement is applied and Legendre polynomials, associated Legendre polynomials and spherical Bessel functions are used to obtain the natural frequencies of the fluid-filled spherical membrane shells. The frequencies for both empty and fluid-filled spherical membrane shell are evaluated, and their comparisons are performed to confirm the validity and accuracy of the proposed method. An excellent agreement is found between the present and previous ones available in the literature. The variations of the natural frequencies with the small-scale parameter, density ratio, wave speed ratio and Poisson’s ratio are also examined. It is observed that the frequencies are affected when the size effect is taken into consideration.     

浸没的圆柱壳在冲击波作用下动响应的Galerkin解法

研究了无粘、无旋和不可压缩流体中两端简支圆柱壳在给定冲击波作用下的动响应。圆柱壳的运动方程中考虑了流体动压力和冲击波压力的共同作用，通过将冲击波压力分布函数表示为Ｆｏｕｒｉｅｒ级数有限项形式，并利用Ｇａｌｅｒｋｉｎ方法对耦合方程进行数值求解，得到了圆柱壳在冲击波作用下的位移响应特性     

夹层充液的双层加肋壳体的振动模态分析

基于流体的波动方程和结构的动力方程,利用有限元方法研究了考虑流固耦合时的双层加肋圆柱壳体的振动特性。论文计算了充液夹层圆柱壳体在加肋和不加肋两种情况下的结构模态,分析了影响结构振动的主要因素,为进一步开展水下航行器的研究提供了一定的依据。     

圆柱壳中不连续管壁对振动功率流传播的影响

本文以一无限长弹性圆柱壳为研究对象,分析其自由振动特性及壳体中各内力传播的功率流,研究管壁接头对入射波的影响,从能量流的角度分析其振动控制效果.     

波纹管壳结构中振动波的传播

研究了波纹管壳结构中的振动波。运用摄动方法与结构振动的波动方法得到了波纹管结构波动解的形式;在此基础上考察了振动波的频散特性。结果表明：摄动波是以传播波和衰减驻波形式存在;研究了振动波通过圆柱壳－波纹壳不连续截面时的传播特点,从频散特性角度对弯曲波传播进行了解释。本文为工程实际中波纹管接头的降噪预报提供了一种理论方法。     

The motion of a heavy liquid in a Vessel with a horizontal baffle

Summary An integral equation is derived for the two-dimensional motion of a heavy liquid in a rectangular vessel having a horizontal rigid baffle, by applying the equations of fluid motion in their linearized form. The relevant eigenfrequencies of the flow follow from the solution of the integral equation and are found to be the roots of an appropriate algebraic equation. Some numerical results are given.With 3 Figures     

Free vibration analysis of FGM cylindrical shell partially resting on Pasternak elastic foundation with an oblique edge

The free vibration characteristics of FGM cylindrical shells partially resting on elastic foundation with an oblique edge are investigated by an analytical method. The cylindrical shell is partially surrounded by an elastic foundation which is represented by the Pasternak model. An edge of an elastic foundation lies in a plane that is oblique at an angle with the shell axis. The motion of shell is represented based on the first order shear deformation theory (FSDT) to account for rotary inertia and transverse shear strains. The functionally graded cylindrical shell is composed of stainless steel and silicon nitride. Material properties vary continuously through the thickness according to a four-parameter power law distribution in terms of volume fraction of the constituents. The equation of motion for eigenvalue problem is obtained using Rayleigh–Ritz method and variational approach. To validate the present method, the numerical example is presented and compared with the available existing results.     

Modeling a mechanism of decreasing the drug of a shell of revolution streamlined by a viscous fluid

The problem of determining the shape and parameters of a running wave on the surface of a body of revolution so as to minimize its drag in the streamlining flow of a viscous fluid is considered. The physical effects involved in this method of flow control are analyzed. The possibility of a numerical experiment on the streamlining of a shell of revolution within the framework of a complete set of hydroelasticity equations, including the Navier-Stokes equation and the equations of motion of a linearly elastic shell, is discussed.     

单层扁锥面网壳非线性动力稳定性分析

用拟壳法建立了正三角形网格的三向扁锥面单层网壳的非线性动力学微分方程。在周边固定条件下,用分离变量函数法给出网壳的横向位移。由协调方程求出张力,通过Galerkin作用得到了一个含二次、三次的非线性微分方程,在不考虑外激励情况下,此系统有三个平衡点。通过求Floquet指数讨论了零平衡点邻域的稳定性问题。为了研究系统的混沌运动,在给定的初始条件下,对此动力系统的非线性自由振动方程进行了求解,首次得到了带平方和立方非线性系统的准确解,使得求Melnikov函数成为可能。用复变函数中的留数理论求出了Melnikov函数,得到了发生混沌的临界条件,通过数值仿真和Poincare映射也证实了混沌运动的存在。     

Water waves and integrability

Euler's equations describe the motion of inviscid fluid. In the case of shallow water, when a perturbative asymptotic expansion of Euler's equations is considered (to a certain order of smallness of the scale parameters), relations to certain integrable equations emerge. Some recent results concerning the use of integrable equation in modelling the motion of shallow water waves are reviewed in this contribution.