| 弹性地基上具有初始构型的输液管动力稳定性 |
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| 引用本文： | 李海港,胡育佳,杨善升.弹性地基上具有初始构型的输液管动力稳定性[J].上海理工大学学报,2015,37(1):36-42. |
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| 作者姓名： | 李海港 胡育佳 杨善升 |
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| 作者单位： | 上海理工大学 机械工程学院, 上海 200093;上海理工大学 机械工程学院, 上海 200093;北京石油化工工程有限公司上海分公司, 上海 200032 |
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| 基金项目： | 国家自然科学基金青年基金资助项目(11002084);上海市教委科研创新基金资助项目(12YZ092,12YZ074);国家国际科技合作专项资助项目(2014DFA40370);陕西省科技统筹创新工程资助项目(2011KTZB01-05);沪江基金资助项目(D14005) |
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| 摘 要： | 解决了研究弹性地基上任意初始构型输液曲管稳定性的难点.在以弧长为参数的自然坐标系中建立了弹性地基上可伸长任意初始构型输液管道力学分析的数学模型,采用微分求积法(DQM)和分块矩阵的方法求解输液曲管的固有频率以及临界流速,研究了弹性地基和初始构型对输液管道动态特性的影响.结果表明,弹性地基将增大输液管道的临界流速,且输液直管初始构型微小的变化将引起其临界流速较大的变化.
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| 关 键 词： | 弹性地基 输液管道 固有频率 临界流速 微分求积 |
| 收稿时间： | 2013/11/14 0:00:00 |
Dynamic Stability of Pipes Conveying Fluid with Arbitraty Initial Configuration on Elastic Foundation |
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| LI Haigang,HU Yujia and YANG Shansheng.Dynamic Stability of Pipes Conveying Fluid with Arbitraty Initial Configuration on Elastic Foundation[J].Journal of University of Shanghai For Science and Technology,2015,37(1):36-42. |
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| Authors: | LI Haigang HU Yujia and YANG Shansheng |
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| Institution: | School of Mechanical and Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China;School of Mechanical and Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China;Subsidiary Company of Beijing Petrochemical and Engineering in Shanghai, Shanghai 200032, China |
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| Abstract: | The dynamic model of an extensible curved pipe with arbitrary initial configuration on elastic foundation was established in an arc coordinate system.Differential quadrature method(DQM)and partitioned matrix method were employed to obtain the natural frequencies and critical velocities of the pipe conveying fluid.The influences of elastic foundation and initial configuration on the dynamic stability of the pipe conveying fluid were discussed in detail.The numerical results show that the elastic foundation will increase the critical velocity of the pipe conveying fluid, and a small defect of the straight pipe will lead to a major effect on the critical velocity. |
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| Keywords: | elastic foundation pipe conveying fluid natural frequency critical velocity differential quadrature method |
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