两端弹性支承裂纹管道的非线性动力学特性  

Nonlinear dynamic characteristics of a cracked pipe conveying fluid under two-end elastic supports

作　　者：包日东[1] 梁峰[1] 

机构地区：[1]沈阳化工大学能源与动力工程学院,沈阳110142

出　　处：《振动与冲击》2017年第1期70-74,87,共6页Journal of Vibration and Shock

基　　金：国家自然科学基金资助项目(51275315)

摘　　要：研究两端弹性支承输流管道含圆周方向裂纹时的非线性动力学特性。首先,推导出裂纹管道的模态函数与局部柔度系数,然后运用Galerkin离散技术将管道运动方程在模态空间中展开,采用非线性动力学仿真方法得到管道系统响应随各参数变化的分岔图和最大Lyapunov指数图。数值结果表明,这种两端弹性支承的特殊边界裂纹管道在参数激励、自激励和外激励联合作用下,表现出丰富的非线性动力学特性,分别出现周期运动、概周期运动、阵发性混沌和混沌等多种响应形式。The nonlinear dynamical characteristics of a two-end elastically supported pipe with circular crack conveying fluid were studied. Firstly, the expressions of vertical vibration modal functions and the local flexibility coefficients of the cracked pipe were derived. Then,its equations of motion were discretized in the modal space with Galerkin method. Bifurcation diagrams and the maximum Lyapunov exponents of the pipe system responses versus various parameters were acquired by using the nonlinear dynamic simulation technique. The simulation results showed that the cracked piping system has abundant nonlinear dynamical characteristics; it exhibits multiple response forms,such as,periodic motion,quasiperiodic motion,intermittent chaos and chaotic motion and so on.

关 键 词：弹性支承 裂纹管道 非线性动力学特性 分岔 混沌 

分 类 号：O322[理学—一般力学与力学基础]