多影响因素下输流管道动力有限元建模
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摘要
输流管道在能源、石化、航空航天等行业中有广泛应用,由于流-固-热耦合作用引起的输流管道振动问题对管道和相应设备的安全性和经济性有重要影响。本文考虑输流管道中流体、温度、结构等多种影响因素,利用哈密顿原理建立输流管道流-固-热耦合作用的动力学方程,根据有限元理论推导出输流管道的单元刚度阵、质量阵、反对称的耦合阻尼矩阵,获得多影响因素下的输流管道动力有限元模型。通过数值分析研究流体流速、密度、压强、温度等因素对管道系统动力特性的影响,得到各影响因素对系统固有频率的影响规律和作用机理。本文提出的多影响因素下输流管道动力有限元建模方法可以全面、详细地分析管道动力特性,给出了更符合实际工程的有限元模型。
Pipes conveying fluid is widely used in the energy,petrochemical industry,aerospace and other industries. The fluid-filled pipe vibration caused by fluid-thermal-structure interaction has an important influence on the safety and economic of industrial production. In this paper,considering fluid,temperature,structure and other factors in the pipeline,the motion equation of fluid-thermal-structure interaction vibration of pipe conveying fluid is derived by using Hamilton principle. On the basis of finite element method,the stiffness matrix,mass matrix and asymmetrical damp matrix are deduced and the finite element model of pipes conveying fluid is obtained considering multi-factors. Through numerical analysis,the influence of fluid velocity,density,pressure,temperature and other factors on the dynamic characteristics of the pipeline system is studied. The influence of various factors on the natural frequency of the system is obtained. In this paper,the dynamical finite element modeling method of pipes conveying fluid is presented to analyze the dynamic characteristics of the pipeline in a comprehensive and detailed way,so that the finite element model is more close to the practical engineering.
引文
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