海南大学学报（自然科学版）2025，Vol.43Issue(1)：50-58,9.DOI:10.15886/j.cnki.hdxbzkb.2024030102
弹簧边界条件下双参数地基上水平输流管道稳定性分析
Stability of fluid conveying pipe on the two-parameter foundations with elastic support boundary conditions
摘要
Abstract
In the report,the vibration stability of fluid conveying pipe under two-parameter foundations with elastic support boundary conditions was investigated.Based on the Euler-Bernoulli beam theory,the Hamiltonian principle was used to establish the dynamic equations of the pipe.The change of spring stiffness simplified the elastic support boundary conditions at both ends into various boundary conditions.The harmonic differential quadrature(HDQ)method was used to discrete and solve the vibration equations.The effects of the different spring stiffnesses,two parameter foundation parameters,and the fluid mass ratios on the critical velocity,critical frequency,and modal shape of the pipe were analyzed.The results indicated that the elastic foundation could effectively improve the stability of pipeline vibration.Additionally,the spring support and foundation had a significant effect on the vibration modes of the pipe.关键词
弹性支承/输流管道/哈密顿原理/临界速度Key words
elastic support/fluid conveying pipe/Hamiltonian principle/critical velocity分类
数理科学引用本文复制引用
马永奇,李继拓,吴晓冬,沈义俊,尤云祥,冯爱春..弹簧边界条件下双参数地基上水平输流管道稳定性分析[J].海南大学学报（自然科学版）,2025,43(1):50-58,9.基金项目
国家自然科学基金项目(52231012) （52231012）
