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    王跃方

    • 教授     博士生导师   硕士生导师
    • 性别:男
    • 毕业院校:大连理工大学
    • 学位:博士
    • 所在单位:力学与航空航天学院
    • 学科:动力学与控制. 工程力学. 计算力学
    • 办公地点:大连理工大学,力学楼505室。
    • 联系方式:电子邮件:yfwang@dlut.edu.cn,QQ号:1043160457。
    • 电子邮箱:yfwang@dlut.edu.cn

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    NONLINEAR VIBRATION ANALYSIS FOR AN AIRFLOW-EXCITED TRANSLATING STRING

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    论文类型:期刊论文

    发表时间:2012-12-01

    发表刊物:INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS

    收录刊物:SCIE、EI、Scopus

    卷号:9

    期号:4

    ISSN号:0219-8762

    关键字:Translating strings; aerodynamic vibration; bifurcation; stability

    摘要:The nonlinear vibration of transverse motion of a translating string excited by steady wind force is investigated in this paper. The stability of the equilibrium configuration is analyzed and the generation of limit cycles via multiple Hopf bifurcations is presented. Single-, double-, and quadruple-Hopf bifurcations are determined in the parametric space. The limit-cycle response is solved through the method of Incremental Harmonic Balance, with its stability determined by Floquet multipliers. For the forced vibration, the coexistence of periodic and quasiperiodic motions is found with varying excitation frequency and amplitude. The Neimark-Sacker (NS) bifurcation and the flip bifurcation are demonstrated in an example. The continuation software MATCONT is adopted to identify the fold and NS bifurcations of periodic motions, as well as other codim-2 bifurcations of NS-NS, the Chenciner and the 1:1, 1:3, and 1:4 resonances. These bifurcations present the complexity of the string dynamics induced by steady wind excitations.