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首页» 过刊浏览» 2022» Vol.7» Issue(2) 252-260     DOI : 10.3969/j.issn.2096-1693.2022.02.023
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功能梯度材料输流管结构振动分析和临界流速
陈严飞,高莫狄,胡东,宗优,刘宇,冯玮
1 中国石油大学(北京)油气管道输送安全国家工程实验室/石油工程教育部重点实验室/城市油气输配技术北京市重点实验室,北京 102200 2 大连理工大学工业装备结构分析国家重点实验室,大连 116024 3 中集海洋工程有限公司, 深圳 518000
Structural vibration analysis and critical velocity of FGM pipeline conveying fluid system using Homotopy Analysis Method
CHEN Yanfei, GAO Modi, HU Dong, ZONG You, YU Liu, FENG Wei
1 National Engineering Laboratory for Pipeline Safety/MOE Key Laboratory of Petroleum Engineering/Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum-Beijing, Beijing 102200, China 2 State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116024, China 3 CIMC Offshore Co. Ltd, Shenzhen 518000, China

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摘要  功能梯度材料是材料属性随空间位置呈连续梯度变化的新型复合材 料,通过设计体积分数函数可以调整功能梯度材料结构的特性,同伦 分析法可以很好地分析功能梯度材料输流管道结构振动安全问题并 进行安全评价。
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关键词 : 陈严飞,高莫狄,胡东,宗优,刘宇,冯玮
Abstract

Pipes conveying fluid is frequently applied in the oil & gas industry. Excessive flow velocity in the pipe will give rise to instability of the pipeline structure. It is highly significant to determine the critical velocity for structural stability design and safety evaluation of those pipes. In practical engineering, pipes conveying fluid is often affected by thermal load, such as heating crude oil pipeline and heating pipeline. The natural vibration frequency and critical flow velocity of pipes conveying fluid under thermal load are different from those of the ordinary flow transmission pipeline. Based on Hamilton's principle, the vibration partial differential equation of pipes conveying fluid supported at both ends under thermal load is derived. By separating variables, the equation is simplified into a univariate quartic homogeneous ordinary differential equation, the general solution is obtained according to the critical velocity conditions, and the analytical expression of critical velocity of pipes conveying fluid suitable for different boundary conditions is given. Based on numerical examples, the effects of linear thermal stress and nonlinear thermal stress on the critical velocity of pipes conveying fluid under different boundary conditions are analyzed, and compared with the results of differential quadrature calculation method to verify the accuracy of the analytical calculation method. The research demonstrated that compared with the differential quadrature method, the proposed analytical method is simpler and more accurate, and can more conveniently obtain the critical velocity of pipes conveying fluid system, which is conducive to guiding the engineering practice. Under the action of linear thermal stress and nonlinear thermal stress, the critical flow rate of the pipes conveying fluid system decreases with the increase of thermal load, and the decreasing speed is faster and faster. In the same case, the critical velocity under nonlinear thermal stress is greater than that under linear thermal stress, and the gap between them gradually increases with the increase of thermal load. Compared with the boundary conditions, it is found that the fixed boundary conditions can bear the largest thermal load. Therefore, the application of fixed boundary conditions to pipes conveying fluid system under thermal load is conducive to improve the stability of the system. The analytical method of critical velocity of pipes conveying fluid under thermal load proposed in this paper can easily and quickly obtain the accurate critical velocity in the engineering field, which provides a reference basis for the design and safety evaluation of pipes conveying fluid system under thermal load.

Key words: pipe conveying fluid; functionally graded materials; structural vibration; critical velocity; homotopy analysis method
收稿日期: 2022-06-29     
PACS:    
基金资助:国家自然科学基金(52171285, 51779265)、大连理工大学工业装备结构分析国家重点实验室开放基金(GZ19119)、中国石油大学( 北京) 科 研基金(2462020YXZZ045) 和广东省促进经济发展专项资金( 海洋经济发展用途)(GDOE[2019]A39) 联合资助
通讯作者: ychen@cup.edu.cn
引用本文:   
陈严飞, 高莫狄, 胡东, 宗优, 刘宇, 冯玮. 功能梯度材料输流管结构振动分析和临界流速. 石油科学通报, 2022, 02: 252-260 CHEN Yanfei, GAO Modi, HU Dong, ZONG You, YU Liu, FENG Wei. Structural vibration analysis and critical velocity of FGM pipeline conveying fluid system using Homotopy Analysis Method. Petroleum Science Bulletin, 2022, 02: 252-260.
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