输流管道在支承激励下的动态特性分析  

Vibration Characteristic Analysis of a Pipe for Conveying Fluid Under Harmonic Excitation

作　　者：苟兵旺[1] 刘永寿[1] 何洁[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：《机械科学与技术》2011年第4期556-559,共4页Mechanical Science and Technology for Aerospace Engineering

基　　金：国家高技术研究发展专项(863计划)(2007AA04Z404);陕西省自然科学基础研究计划项目(SJ08A17)资助

摘　　要：根据Hamilton原理推导出了两端简支输流管道在支承简谐激励下的控制方程,提出了一种求解该方程的方法—伽辽金-模态法。讨论了阻尼、流速、压力和简支长度对管道前两阶固有频率的影响,并分析了流速和压力对管道最大相对位移的影响情况。通过笔者给出的求解管道失稳临界值的方法,求出了管系的临界流速、临界压力和临界简支长度。结果表明:粘性阻尼和外部激励对管系的振动频率几乎不产生影响。The control equation of fluid-structure interaction vibration of a pipe for conveying fluid under simple harmonic excitation using Hamilton principle was established and was solved by Galerkin-modality′s method.The influences of damp,flow velocity,pressure and length of simple supports on the piping′s first two natural frequencies were discussed,and the influences of flow velocity and pressure on piping′s maximal relative displacements were analyzed.The critical flow velocity,the critical pressure and the critical length of simple supports were obtained by the method which was given in this paper.The calculated results show that viscous damp and external excitation have little influence on piping′s vibration frequencies.

关 键 词：简谐激励 伽辽金-模态法 固有频率 

分 类 号：O353[理学—流体力学]