| 输流管道非线性横向振动固有频率分析 |
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| 引用本文： | 周永兆,杨晓东,金基铎. 输流管道非线性横向振动固有频率分析[J]. 振动、测试与诊断, 2012, 0(Z1): 66-68,150 |
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| 作者姓名： | 周永兆 杨晓东 金基铎 |
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| 作者单位： | 南京航空航天大学经济管理学院;中航工业集团沈阳黎明航空发动机(集团)有限责任公司;沈阳航空航天大学航空宇航工程学院 |
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| 基金项目： | 国家自然科学基金资助项目(编号:10372063) |
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| 摘 要： | 研究两端铰支输流管道的横向非线性自由振动,分析管道的微单元受力情况,得到自由振动的偏微分控制方程。对偏微分方程做准静态假设得到积分-偏微分方程。为了比较两种非线性模型的差异,将多尺度法直接应用于两种控制方程,对比不同非线性项对系统固有频率的影响。数值算例表明,偏微分控制方程结果与由准静态假设得到的积分-偏微分控制方程结果相比,前者有较强的非线性。
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| 关 键 词： | 输流管道 固有频率 多尺度法 非线性振动 |
Natural Frequency Analysis of Nonlinear Transverse Vibrations for Pipes Conveying Fluid |
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| Zhou Yongzhao,Yang Xiaodong,Jin Jiduo. Natural Frequency Analysis of Nonlinear Transverse Vibrations for Pipes Conveying Fluid[J]. Journal of Vibration,Measurement & Diagnosis, 2012, 0(Z1): 66-68,150 |
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| Authors: | Zhou Yongzhao Yang Xiaodong Jin Jiduo |
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| Affiliation: | 1.College of Ecomonics and Management,Nanjing University of Aeronautics and Astronautics Nanjing,210016,China)(2.AVIC Shenyang Liming Aero-Engine(Group) Corporation Ltd.Shenyang,110043, China)(3.School of Aerospace Engineering,Shenyang Aerospace University Shenyang,110136,China) |
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| Abstract: | The nonlinear vibrations of a pipe conveying fluid with simple supports are investigated in this paper.The equation governing transverse motion of the pipe with partial-differential nonlinearity is derived from the Newton′s second law.Under the quasi-static stretch assumption,another governing equation with integro-partial-differential nonlinearity can be obtained,which is widely adopted vibrations of fluid-conveying pipes.The multiple scale method is applied directly to the two types of governing equations with different nonlinear terms. The natural frequencies of different velocities are presented for the two types of nonlinearity.It can be concluded that the integro-partial-differential nonlinearity is much weaker than the partial-differential one. |
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| Keywords: | pipes conveying fluid natural frequency multiple scale method nonlinear vibration |
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