Nonlinear Dynamic Analysis of A Viscoelastic Pipe Conveying Fluid

—Incremental harmonic balance method(IHBM)is applied to geometrically nonlinear vibra-tion analysis of a simply supported pipe conveying fluid.the material of which is viscoelastic of theKelvin-Voigt type.Some unstable phenomena-the appearance of the peak or jumps in the pipe'samplitude-frequency curves.which are considered to be of importance to this kind of structure.are pres-ented in the numerical results.and the influence of several parameters of the system on the dynamic charac-teristic of the pipe are also studied.It is believed that this is the first attempt to search for the periodic solu-tion of the pipe and its intrinsic property with such a method.     

水下输液管道动力特性研究

该文研究水下横向输液管道的动力特性 ,假定管道系统承受外界均匀流的作用 ,同时考虑管内流体流动的影响 ,建立了水下输液管道侧向振动的微分方程。采用 Hermite插值函数和Galerkin法离散得到其有限元标准形式。研究管内流动为恒定流时输液管道长度、内部流体流动速度对管道动力特性的影响及管内流动含有谐波挠动的情况下输液管道固有频率的变化。结果表明 ,在管内恒定流动的情况下 ,输液的自振频率随管道长度及管内流速的增加而降低 ,同时管内流动的谐波挠动对管道的自振频率也有影响。     

Dynamic Characteristics of Marine Risers Conveying Fluid

The lateral vibration differential equation for a marine riser conveying fluid is derived by useof the small deflection theory.and the effect of internal flow velocity and top tension on the natural fre-quency of the riser is studied by use of FEM.At the same time,the preliminary relationship between thenatural frequency and riser span under different internal flow velocities is obtained,the effect of riser sup-ports on the vibration frequency is computed.It is found that the natural frequency of the marine riser in-creases with the increase of top tension.however decreases with the increase of internal flow velocity.In ad-dition,the frequency decreases drastically with the increase of riser span.     

Vibration of two elastically mounted cylinders of different diameters in oscillatory flow

Vibration of two elastically mounted cylinders in an oscillatory flow at a Keulegan-Carpenter number of 10 is simulated numerically. The two cylinders are rigidly connected with each other and are allowed to vibrate in the cross-flow direction only. The aim of this paper is to identify the effects of the orientation of the cylinders and the gap between the cylinders on the vibration. The two-dimensional Reynolds-Averaged Navier-Stokes equations are solved to predict the flow and the cylinder vibration is predicted using the equation of motion. When the two cylinders are in a tandem arrangement, a combined single pair flow regime and attached pair flow regime are observed as reduced velocity exceeds 10 and this combined regime and the single pair regime occurs intermittently. Periodic vibration is found when the two cylinders are in a staggered arrangement with a 45° flow attack angle. When the two cylinders are in a side-by-side arrangement, a new single vortex regime is observed. This single vortex remains attached to the cylinder surface and rotates around the cylinder. The intermittent switch between this single vortex regime and the single pair regime are observed.