摘要
为定量描述海洋工程中输流立管受脉动顶张力作用时的涡激振动响应,本文研究了海洋输流立管受到内部流体、脉动顶张力和涡流激励作用时的参数主共振问题。首先建立了该问题的数学模型,运用Galerkin法和多重尺度法对其进行求解,引入调谐参数描述输流立管第一阶固有频率同顶张力脉动频率和涡流频率的接近程度,通过改变调谐参数,研究输流立管的动力学响应。结果表明:定常顶张力作用下,立管的振幅为单值,随着调谐参数增大,立管振幅先增大后减小,且出现明显的跳跃现象,内部流体速度和张力幅值的竞争机制也会影响立管振幅;脉动顶张力作用时,在一阶锁频的条件下,随着调谐参数变化,立管的振幅呈现“多值—单值—多值”的变化规律,顶张力均值或脉动幅值越大,立管振幅的变化范围越宽。
The primary parametric resonance of ocean pipe conveying fluid under the excitation of internal fluid,vortex and pulsating top tension is investigated in this thesis.The mathematical modeling is established firstly,which are then solved by Galerkin truncation and method of multiple scales.Detuning parameters are used to describe the relationship between the first natural frequency of pipe with frequency of pulsating top tension and vortex frequency.Dynamic responses of pipe conveying fluid are studied by changing the value of detuning parameters.The results indicate that the vibration amplitude is a single value when the top tension is steady.And the vibration amplitude enlarges first then narrows as the detuning parameter increases.And jump phenomenon of vibration amplitude occurs.And the competitive relations of the internal fluid velocity and amplitude of tension will result in the change of the vibration amplitude of the pipe.When detuning parameter increases,with pulsating top tension,the vibration amplitude of pipe changes from multi-value to single-value and then changes into multi-value again.With the increase of mean top tension and pulsating top tension amplitude,the variation range of vibration amplitude becomes wider.
作者
秦营
李世博
常学平
Qin Ying;Li Shibo;Chang Xueping(College of Computer Science,Chengdu University,Chengdu 610106,China;Key Laboratory of Pattern Recognition and Intelligent Information Processing of Sichuan,Chengdu University,Chengdu 610106,China;School of Mechatronic Engineering,Southwest Petroleum University,Chengdu 610500,China)
出处
《中国海洋大学学报（自然科学版）》
CAS
CSCD
北大核心
2024年第7期72-78,共7页
Periodical of Ocean University of China
基金
国家自然科学基金项目(51674216)资助。
关键词
海洋输流立管
脉动顶张力
涡激振动
主参数共振
调谐参数
振动响应
ocean pipe conveying fluid
pulsating top tension
vortex-induced vibration
primary parametric resonance
detuning parameter
vibration response
