两端弹性支承裂纹管道的非线性动力学特性

发布时间：2018-01-29 22:56

本文关键词： 弹性支承裂纹管道非线性动力学特性分岔混沌　出处：《振动与冲击》2017年01期 　论文类型：期刊论文

【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。
[Abstract]:The nonlinear dynamic characteristics of a pipe with circumferential cracks are studied. Firstly, the modal function and local flexibility coefficient of cracked pipeline are derived. Then the equations of motion of pipeline are expanded in modal space by Galerkin discrete technique. The nonlinear dynamic simulation method is used to obtain the bifurcation diagram and the maximum Lyapunov exponent diagram of the pipeline system response with the variation of each parameter. The numerical results show that the bifurcation diagram and the maximum Lyapunov exponent diagram are obtained. The special boundary crack pipeline with elastic supports at both ends shows rich nonlinear dynamic characteristics under the combined action of parametric excitation, self-excitation and external excitation, and there are periodic motions and almost periodic motions, respectively. Paroxysmal chaos, chaos and other response forms.
【作者单位】：沈阳化工大学能源与动力工程学院;
【基金】：国家自然科学基金资助项目(51275315)
【分类号】：O322
【正文快照】： 管道输送在能源、化工、航空、动力等工业领域具有广泛应用,是流体输送的最主要方式。管道输送的安全运行关系着与之相连接装置的安全,裂纹是较典型的一种损伤形式,裂纹的出现将改变管道结构的刚度、阻尼和质量,从而导致管道系统动力学特性的改变。无裂纹两端简支输流管道在脉

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