摘要
利用典型板-流体-板结构的流体动压解析表达式,推导了计算刚性水槽内扁宽梁上流体力的表达式,用假设模态法计算了刚性槽中四跨梁在空气和轴向粘性流中的固有频率.结果表明:梁在空气中的1阶固有频率计算值与测试值的相对误差为1.7%,满足工程要求;在流体中的固有频率随流速增大而减小,最终趋于零,并随板长和宽度增加而减小;流体的动力粘度对梁的固有频率基本无影响.
The equations for fluid forces acting on a flat beam in a rigid water trough with axial flow were derived using the analytical equations for fluid dynamic pressure of typical plate-fluid-plate model. The natural frequencies of a hinged 4-span flat beam in air and in axial viscous fluid flow were calculated with the assumed mode method. The results show that the relative error between the calculated 1st order natural frequency and the experimental one is 1.7%, which satisfies the need of engineering application. The natural frequencies decrease with the increase of the fluid velocity, the length and width of the beam, and go down to zero when fluid velocity increases to a large value. The dynamic viscosity of fluid has little effect on natural frequencies.
出处
《西南交通大学学报》
EI
CSCD
北大核心
2009年第3期370-374,共5页
Journal of Southwest Jiaotong University
基金
高校博士点基金新教师基金资助项目(20070613032)
关键词
板-流体-板结构
流固耦合振动
固有频率
轴向粘性流
plate-fluid-plate structure
coupled fluid-solid vibration
natural frequency
axial viscousflow
