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1:2内共振及主共振情况下高架索的面内振动分析

任爱娣 何学军 王晓林 张良欣

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1:2内共振及主共振情况下高架索的面内振动分析

任爱娣, 何学军, 王晓林, 张良欣

Inplane oscillation analysis of the highline system with 1:2 internal resonance and dominate resonance

Ren Ai-Di, He Xue-Jun, Wang Xiao-Lin, Zhang Liang-Xin
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  • 考虑了由货物自重引起高架索静态构型的分段特性、高架索的倾斜角以及发送端水平运动等多种因素的影响, 建立了海上航行干货补给高架索系统面内振动的三自由度分段动力学模型. 将惯性项解耦后, 得到了1:2内共振与主共振同时作用时的常微分方程, 并利用多尺度法对其进行了摄动分析和数值分析, 为后续开展相关的非线性动力学研究奠定了一定的理论基础.
    A three-degree-of-freedom nonlinear dynamic model of piecewise highline system during underway replenishment is investigated when the lumped mass swings in which the influences of piecewise characteristic of highline cable's static profile due to cargo deadweight, the incline angle and the horizontal motion of the sending end are considered. Considering 1:2 internal resonance and primary resonance, ordinary differential equations are gained by decoupling the inertial terms. Perturbation analysis and numerical analysis are carried out by adopting the multiple-scale method, which will be the theoretical basis of the further research of nonlinear dynamics.
      通信作者: 任爱娣, renaidi@eyou.com
    • 基金项目: 中国博士后科学基金(批准号:20080431381)资助的课题.
      Corresponding author: Ren Ai-Di, renaidi@eyou.com
    • Funds: Project supported by the China Postdotoral Science Foundation (Grant No. 20080431381).
    [1]

    Lu Y J 1996 Shipbuliding of China 37 17 (in Chinese)[卢永锦 1996 中国造船 37 17]

    [2]

    He X J, Zhang L X, Ren A D 2010 Acta Phys. Sin. 59 3088 (in Chinese)[何学军, 张良欣, 任爱娣 2010 物理学报 59 3088]

    [3]

    Zhang L X, He X J, Ren A D 2010 Proceedings of the 2010 International Conference on Application of Mathematics and Physics V2: Advances on Applied Mathematics and Computation Mathematics Nanjing, China, May 8–9, 2010 p104

    [4]

    Ren A D, He X J, Zhang L X 2010 The International Conference on E-Product, E-Service and E-Entertainment Henan, China, November 4–6, 2010 p4662

    [5]

    Rega G 2004 Am. Soc. Mech. Eng. 57 443

    [6]

    Jensen C N, Nielsen S R K, Svrensen J D 2002 J. Sound Vib. 256 499

    [7]

    Chen L Q, Yang X D 2005 J. Sound Vib. 2 879

    [8]

    Nayfeh A H,Mook D T 1979 Nonlinear Osciallations (New York: John Wiley and Sons) p72 060501-8

  • [1]

    Lu Y J 1996 Shipbuliding of China 37 17 (in Chinese)[卢永锦 1996 中国造船 37 17]

    [2]

    He X J, Zhang L X, Ren A D 2010 Acta Phys. Sin. 59 3088 (in Chinese)[何学军, 张良欣, 任爱娣 2010 物理学报 59 3088]

    [3]

    Zhang L X, He X J, Ren A D 2010 Proceedings of the 2010 International Conference on Application of Mathematics and Physics V2: Advances on Applied Mathematics and Computation Mathematics Nanjing, China, May 8–9, 2010 p104

    [4]

    Ren A D, He X J, Zhang L X 2010 The International Conference on E-Product, E-Service and E-Entertainment Henan, China, November 4–6, 2010 p4662

    [5]

    Rega G 2004 Am. Soc. Mech. Eng. 57 443

    [6]

    Jensen C N, Nielsen S R K, Svrensen J D 2002 J. Sound Vib. 256 499

    [7]

    Chen L Q, Yang X D 2005 J. Sound Vib. 2 879

    [8]

    Nayfeh A H,Mook D T 1979 Nonlinear Osciallations (New York: John Wiley and Sons) p72 060501-8

计量
  • 文章访问数:  6728
  • PDF下载量:  529
  • 被引次数: 0
出版历程
  • 收稿日期:  2011-03-10
  • 修回日期:  2011-07-10
  • 刊出日期:  2012-03-05

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