应用数学和力学2024,Vol.45Issue(12):1494-1505,12.DOI:10.21656/1000-0887.440291
输液直管道流-固耦合振动响应计算方法与应用
The Calculation Method and Application of Fluid-Solid Coupling Vibration Responses of Straight Infusion Pipeline
田瑞 1常亮 1韩涛 1聂小华1
作者信息
- 1. 中国飞机强度研究所,西安 710065||强度与结构完整性全国重点实验室,西安 710065
- 折叠
摘要
Abstract
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 re-sponse theory for the infusion pipeline system with complex supports were given based on the differential trans-formation 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 theo-ry.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 re-sponses of the infusion pipeline system with complex supports has high accuracy and good applicability,espe-cially 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 sys-tem can be conveniently calculated under forced vibration.It provides a theoretical basis for the design of pipe-lines and connected structures.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Key words
straight infusion pipeline/differential transformation method/fluid-solid coupling/elastic support/vibration response引用本文复制引用
田瑞,常亮,韩涛,聂小华..输液直管道流-固耦合振动响应计算方法与应用[J].应用数学和力学,2024,45(12):1494-1505,12.