输送流体管道的固—液耦合动力学研究  

Research on Solid_Liquid Coupling Dynamics of Pipe Conveying Fluid

作　　者：王世忠[1] 刘玉兰[1] 黄文虎[1] 

机构地区：[1]哈尔滨工业大学航天学院

出　　处：《应用数学和力学》1998年第11期987-993,共7页Applied Mathematics and Mechanics

摘　　要：根据Ｈａｍｉｌｔｏｎ原理推导输送流体管道固—液耦合振动方程，得到反对称的固—液耦合阻尼矩阵和对称的固—液耦合刚度矩阵；用ＱＲ法计算管道固有频率，给出了管道前４阶固有频率—流速曲线；讨论了流体的流速、压强变化以及固—液耦合阻尼和固—液耦合刚度对管道固有频率的影响；用Ｎｅｗｍａｒｋ法计算不同流速时管道对阶跃载荷的动力响应；发现了各阶固有频率都有随流速的提高而降低、再提高、再降低的周而复始现象·On the basis of Hamilton princlple, the equation of solid_liquid coupling vibration of pipe conveying fluid is deduced. An asymmetrical solid_liquid coupling damp matrix and a symmetrical solid_liquid coupling stiffness matrix are obtained. Using QR method, pipe's nature frequencies are calaculated. The curves of the first four orders of natural frequency_flow velocity of pipe waw given. The influence of flowing velocity, pressure, solid_liquid coupling damp and solid_liquid coupling stiffness on natural frequency are discussed respectively. The dynamic respondence of the pipes for step_load with different flow velocity are calculated by Newmark method. It is found that, with the flow velocity increased, the nature frequency of the pipes reduced, increased, reduced again and so on.

关 键 词：有限元法 输送流体管道 固-液耦合振动 流体振动 

分 类 号：O353.1[理学—流体力学]