多跨管道流固耦合振动的波传播解法  

VIBRATION ANALYSIS OF A MULTI-SPAN FLUID CONVEYING PIPE WITH WAVE PROPAGATION METHOD

作　　者：李宝辉[1] 高行山[1] 刘永寿[1] 黄益民[1] 岳珠峰[1] 

机构地区：[1]西北工业大学工程力学系,西安710129

出　　处：《固体力学学报》2010年第1期67-73,共7页Chinese Journal of Solid Mechanics

基　　金：西北工业大学研究生创业种子基金(Z200931);西北工业大学研究生创业种子基金(Z200932);国家高技术研究发展专项(863计划)项目(2007AA04Z404);陕西省自然科学基础研究计划项目(SJ08A17)资助

摘　　要：采用Timoshenko梁模型提出了求解多跨管道流固耦合振动的波动方法.借助边界处的几何连续条件和力平衡条件,得到了波在固支、简支和自由三种端部条件下的反射模型;建立了波在中间弹性支撑处的散射模型;结合以上散射模型,得到了多跨管道流固耦合振动的频率特征方程;通过计算两端简支管道的临界流速,验证了所建立模型的正确性.最后,计算了一段40m长、七跨管道在三种工况下的前五阶固有频率.计算结果表明:波传播方法具有易于编程、执行效率高和计算精度高的优点.Based on the Timoshenko beam a multi-span fluid conveying pipe is presented model, a wave propagation method for vibration analysis of in this paper. Utilizing the geometry continuity and force balance condition, the wave reflection models are obtained for fixed-supported, simply-supported and free ends, respectively. The scattering model is established for the intermediate elastic support. In terms of the above scattering model, the frequency characteristic equation is deduced for the multi-span pipe. The correctness of the proposed model is validated by calculating the critical velocity of a simply-supported pipe. Finally, the present method is applied to calculate the first five natural frequencies of a seven span, 40 meters long pipe in three different cases. The results show that the proposed method is convenient for pro- gramming and with a high degree of accuracy.

关 键 词：流固耦合 波传播 载流管道 固有频率 临界流速 

分 类 号：O353.4[理学—流体力学]