外加横向激励对固-铰支承管道流固耦合振动的影响
发布时间：2018-07-27 12:03
【摘要】：首先,由Hamilton原理推导外侧施加横向激励的输液管道流固耦合弯曲振动微分方程,针对固-铰支承管道提出一种新的振型函数,利用Galerkin法求得前五阶固有频率表达式,并且通过对比验证了新振型函数的正确性.其次,在一阶截断情况下求得这类管道的挠度、弯矩和剪力表达式,讨论了流速、液压和外激频率变化对固-铰支承管道中点挠度和最大弯矩的影响.结果表明,由新振型函数确定的前五阶固有频率不仅计算简便而且具有很高的精度,同时验证了输液管道固有频率对液压和流速的依赖性,也证实了对于流固耦合问题,结构发生共振与外激频率接近结构固有频率有关同样适用.
[Abstract]:Firstly, the differential equation of fluid-solid coupling bending vibration of fluid pipeline subjected to lateral excitation is derived from the Hamilton principle. A new mode function is proposed for the solid-hinge supported pipeline. The first five natural frequency expressions are obtained by using the Galerkin method. The correctness of the new mode function is verified by comparison. Secondly, the expressions of deflection, bending moment and shear force of this kind of pipeline are obtained under the condition of first order truncation. The effects of velocity of flow, hydraulic pressure and frequency of external excitation on the point deflection and maximum moment of the pipe supported by solid hinge are discussed. The results show that the first five natural frequencies determined by the new mode function are not only simple and accurate, but also verify the dependence of the natural frequency of the pipeline on the hydraulic pressure and the velocity of flow, as well as the fluid-solid coupling problem. The resonance of the structure is related to the external excitation frequency close to the natural frequency of the structure.
【作者单位】： 上海大学上海市应用数学和力学研究所;
【基金】：国家自然科学基金资助项目(U1663205,51174130) 上海市重点学科建设资助项目(S30106) 上海市科委部分地方院校能力建设计划重点资助项目(12160500200)
【分类号】：O32
[Abstract]:Firstly, the differential equation of fluid-solid coupling bending vibration of fluid pipeline subjected to lateral excitation is derived from the Hamilton principle. A new mode function is proposed for the solid-hinge supported pipeline. The first five natural frequency expressions are obtained by using the Galerkin method. The correctness of the new mode function is verified by comparison. Secondly, the expressions of deflection, bending moment and shear force of this kind of pipeline are obtained under the condition of first order truncation. The effects of velocity of flow, hydraulic pressure and frequency of external excitation on the point deflection and maximum moment of the pipe supported by solid hinge are discussed. The results show that the first five natural frequencies determined by the new mode function are not only simple and accurate, but also verify the dependence of the natural frequency of the pipeline on the hydraulic pressure and the velocity of flow, as well as the fluid-solid coupling problem. The resonance of the structure is related to the external excitation frequency close to the natural frequency of the structure.
【作者单位】： 上海大学上海市应用数学和力学研究所;
【基金】：国家自然科学基金资助项目(U1663205,51174130) 上海市重点学科建设资助项目(S30106) 上海市科委部分地方院校能力建设计划重点资助项目(12160500200)
【分类号】：O32
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