摘要
输液管道系统中存在液体压力脉动和管道结构的高度非线性耦合效应,在外激励作用下将产生剧烈的耦合振动现象,严重时会导致输液管道及连接结构失效.针对输液管道流-固耦合振动响应解析方法缺乏,研究了基于微分变换法(DTM)求解含复杂支承的输液管道系统动力学特性及振动响应理论,基于Bernoulli-Euler梁理论建立了跨中含复杂弹性支承的输液直管道流-固耦合振动微分方程,详细推导了基于DTM计算简支、含附加弹性支承输液直管道系统固有频率、位移响应及支承约束反力的表达式,研究了输液管道内压强、流速及附加支承刚度和位置对管道系统固有频率、支承约束反力的影响,并基于结构有限元分析方法验证了DTM的计算精度.研究表明:采用DTM计算含复杂支承输液管道系统流-固耦合振动特性及响应的精度高、适用性强,尤其在复杂边界以及跨中含有附加支承管道系统振动响应计算方面具有明显的优势,基于DTM可以便捷计算流固耦合管道系统强迫振动中的力学响应,为管道及其连接结构的设计提供理论依据.
There is a highly nonlinear coupling effect between liquid pressure pulsation and pipeline structure in the infusion pipeline system.Severe coupling vibration will occur under external excitation,which will lead to the failure of the infusion pipeline and connection structure.In view of the lack of analytical methods for the fluid-solid coupling vibration responses of the infusion pipeline,the dynamic characteristics and vibration response theory for the infusion pipeline system with complex supports were given based on the differential transformation method(DTM),and the fluid-solid coupling vibration differential equation for the straight infusion pipeline with complex elastic supports within the span was established based on the Bernoulli-Euler beam theory.The expressions based on the DTM for calculating natural frequencies,displacement responses and support constraint reactions of the pipeline system with the simple support and additional elastic supports were derived in detail.The influences of the internal pressure,the flow rate,the additional support stiffness and the support position on natural frequencies and support constraint reactions of the pipeline system were studied,and the calculation accuracy of the DTM was verified with the structural finite element analysis method.The research shows that,the application of the DTM in the calculation of fluid-solid coupling vibration characteristics and responses of the infusion pipeline system with complex supports has high accuracy and good applicability,especially in the calculation of vibration responses of the pipeline system with complex boundaries and additional supports within the span.Based on the DTM,the mechanical responses of the fluid-solid coupling pipeline system can be conveniently calculated under forced vibration.It provides a theoretical basis for the design of pipelines and connected structures.
作者
田瑞
常亮
韩涛
聂小华
TIAN Rui;CHANG Liang;HAN Tao;NIE Xiaohua(Aircraft Strength Research Institute of China,Xi’an 710065,P.R.China;National Key Laboratory of Strength and Structural Integrity,Xi’an 710065,P.R.China)
出处
《应用数学和力学》
CSCD
北大核心
2024年第12期1494-1505,共12页
Applied Mathematics and Mechanics
关键词
输液直管道
微分变换法
流-固耦合
弹性支承
振动响应
straight infusion pipeline
differential transformation method
fluid-solid coupling
elastic support
vibration response