摘要
根据哈密顿原理推导出了输流管道的横向振动方程,采用伽辽金法对该方程进行离散获得了管道系统的频率方程,并求出了前4阶临界流速、临界压强以及临界简支长度的计算公式。分析了流速、液体压强和简支长度对固有频率以及压强、简支长度对临界流速的影响。最后进行了固有频率对流速、液体压强等参数的灵敏度分析。研究结果表明:1)与简支长度对固有频率的影响来比,流速、液体压强对固有频率的影响要小;2)固有频率对流速的1阶灵敏度要高于固有频率对液体压强的1阶灵敏度。
In this paper,the transverse vibration equation of a pipe conveying fluid was deduced by the Hamilton′s principle.The frequency equation was obtained by Galerkin Method,and expressions of the first four critical flow velocity,pressure and length of simple support were given out.Then,influences of flow velocity,pressure,length of simple support on natural frequencies and flow velocity,pressure on the critical flow velocity were analyzed.Finally,the sensitivity analysis of natural frequencies to flow velocity and pressure was analyzed.The results show： 1） Comparing with influence of length of simple support on natural frequencies,influences of flow velocity,pressure on natural frequencies are smaller;2） the first sensitivity of flow velocity to natural frequencies is higher than the first sensitivity of pressure to natural frequencies.
出处
《机械科学与技术》
CSCD
北大核心
2012年第3期498-501,506,共5页
Mechanical Science and Technology for Aerospace Engineering
关键词
流固耦合
灵敏度
固有频率
临界流速
fluid-structure interaction
sensitivity
natural frequency
critical flow velocity
