盛叶舟,郭长青,洪伟斌.弹性地基上分布随从力作用下含裂纹输流管道的稳定性[J].南华大学学报(自然科学版),2015,29(4):104~108.[SHENG Ye-zhou,GUO Chang-qing,HONG Wei-bin.Stability of Cracked Fluid-conveying Pipeline on Elastic FoundationUnder Distributed Follower Forces[J].Journal of University of South China(Science and Technology),2015,29(4):104~108.]
弹性地基上分布随从力作用下含裂纹输流管道的稳定性
Stability of Cracked Fluid-conveying Pipeline on Elastic FoundationUnder Distributed Follower Forces
投稿时间:2015-04-23  
DOI:
中文关键词:  分布随从力  裂纹  弹性地基  输流管道
英文关键词:distributed follower force  crack  elastic foundation  pipe conveying fluid
基金项目:
作者单位
盛叶舟 南华大学 城市建设学院,湖南 衡阳 421001 
郭长青 南华大学 数理学院,湖南 衡阳 421001 
洪伟斌 南华大学 城市建设学院,湖南 衡阳 421001 
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中文摘要:
      将分布随从力、winker地基等效刚度k作为输流管道运动微分方程新增参数纳入考虑,新的振动微分方程由此产生,离散并且求解采用Galerkin法。频率特征值源于频率扫描(frequency scanning)及传递弯矩法。具体分析了在考虑分布随从力(跟随力),裂纹存于管跨上不同位置、不同大小弹性地基刚度支承管道时,其失稳形式的变化。研究显示弹性地基存在对保持含裂纹管道的稳定性起部分作用,需重视裂纹开口深度及裂纹所处管跨位置对管道稳定性的影响。
英文摘要:
      The differential equation of fluid-conveying pipes considering distributed follower force and elastic foundation is established.The equation is discreted and solved by Galerkin method and the frequency characteristic values are solved by bending moment transfer method.The effects of crack location and elastic foundation stiffness to the form of instability of the pipes under the distributed follower force are analyzed.Results show that the elastic foundation stiffness can enforce the stability of the pipes effectively,and the effects are more obvious when the crack location is closer to the middle of the pipe.
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