摘要
目的考虑流体流动惯性力的作用,建立流体与管道的流固耦合非线性动力学方程,通过构造新的数值差分算法,解决简支梁输流管道流固耦合特性问题.方法采用量纲分析法对动力学方程进行无量纲化处理.基于有限差分理论,建立动力学模型差分方程组,并运用追赶法求解离散差分方程组.结果在Visual Basic 6.0语言平台上编制求解各离散点振动位移的通用程序,通过对比分析获得不同流速和阻尼下的振动响应规律:当流速一定时,阻尼的大小只改变系统的振动幅度,而不改变系统的频率特性,管道的最大振幅由初始管道长度的3%降低到0.8%;当阻尼一定且流速不断增大时,系统的振幅也随之增大,而固有频率随流速的增大而逐渐降低,从而推断出系统的临界流速为520 m/s.结论研究结果表明,笔者提出的差分迭代算法不仅简单有效,同时也为工程实际应用提供了新思想.
A new numerical difference algorithm for solving dynamic responses of fluid-conveying pipe was proposed. Considering the fluid-structure interaction and inertial forces generated by the fluid flow, nonlinear dynamical equations for pipelines with conveying fluid were established. Then the equations were simplified with dimensionless forms. Based on the finite difference principle, corresponding differential equations were built and solved by the discrete chase method. A general program for solving the vibration displacement of each discrete point was designed with the VisualBasic 6.0. Vibration responses by different flow and damping rates were calculated. It is found that if the flow rate is constant, the vibration amplitudes of the system change only with variation of damping ,but the frequency characteristics of the system have no change; the maximum amplitude is reduced from 3 % of the original pipeline length to 0. 8 %. If the damping is constant and the flow rate increases, the amplitude also increases, but the natural frequency gradually decreases. It is inferred that the critical velocity of the system is 520m/s. Numerical calculating example shows that the differential iterative algorithm proposed in this paper is not only simple and effective, but also offers new ideas for practical engineering applications.
出处
《沈阳建筑大学学报（自然科学版）》
CAS
北大核心
2015年第1期149-157,共9页
Journal of Shenyang Jianzhu University：Natural Science
基金
国家十二五科技支撑计划项目(2011BAJ02B05-05)
辽宁省自然科学基金项目(201102181)
关键词
流固耦合
无量纲化
有限差分法
程序设计
fluid-structure interaction （FSI）
dimensionless
finite difference method
program de-sign
