旋转输液管动力稳定性理论分析  

Theoretical Analysis on Dynamic Stability of Rotating Pipes Conveying Fluid

作　　者：张博 史天姿 张贻林 孙东生 袁从敏 丁虎[2] 陈立群[2] ZHANG Bo;SHI Tianzi;ZHANG Yilin;SUN Dongsheng;YUAN Congmin;DING Hu;CHEN Liqun(School of Sciences,Chang’an University,Xi’an 710064,P.R.China;Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200072,P.R.China;Taishan Nuclear Power Joint Venture Co.,Ltd.,Taishan,Guangdong 529228,P.R.China)

机构地区：[1]长安大学理学院,西安710064 [2]上海大学上海市应用数学和力学研究所,上海200072 [3]台山核电合营有限公司,广东台山529228

出　　处：《应用数学和力学》2022年第2期166-175,共10页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(11702033,11872159);中央高校基本科研业务费(300102120166);上海市教委创新项目(2017-01-07-00-09-E00019);陕西省省级大学生创新创业训练计划(S202010710245,S202010710246);陕西省自然科学基金(2022JQ-019,2020JQ-345,2021JQ-216)。

摘　　要：基于Lagrange原理和假设模态法建立了旋转输液管的动力学模型.通过降阶升维的方法求解系统的特征值问题,并分析了旋转输液管自由振动特性.得到了不同端部集中质量和转速下,系统特征值随流速升高的演变轨迹.揭示了临界流速随系统参数的变化规律.研究发现,内部流体的流动对旋转输液管动力学特性存在显著影响.在某些参数组合下,系统低阶模态能够形成不同形式的内共振关系.预示了旋转输液管模型蕴含丰富的动力学现象.The dynamic model was built for rotating pipes conveying fluid based on the Lagrange principle and the assumed mode method.The eigenvalue problem of the system was solved via the method of“reducing the order and increasing the dimension”.The free vibration characteristics of the rotating pipe conveying fluid were analyzed.The variations of the eigenvalue trajectories with the fluid velocity were illustrated under different tip masses and rotating speeds.The effects of system parameters on the critical fluid velocity were revealed.It is found that,the flowing fluid has significant effects on the dynamic characteristics of the rotating pipe.Different internal resonances between the 1 st several modes of the system could exist under certain parameter conditions.The work reveals rich dynamic phenomena of the rotating pipe conveying fluid.

关 键 词：旋转 输液管 自由振动 假设模态法 LAGRANGE方程 

分 类 号：O32[理学—一般力学与力学基础]