Primary resonance of cable-stayed beam with time-delayed feedback control
Received:June 13, 2016  Revised:December 07, 2016
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DOI:10.7511/jslx201705016
KeyWord:time-delay feedback  primary resonance  cable-stayed beam  vibration control
           
AuthorInstitution
彭剑 湖南科技大学 土木工程学院, 湘潭
李禄欣 湖南科技大学 土木工程学院, 湘潭
向明姣 湖南科技大学 土木工程学院, 湘潭
赵跃宇 湖南大学 土木工程学院, 长沙
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Abstract:
      The vibration control of a cable-stayed beam is carried out by using the method of the time-delayed acceleration feedback control.A nonlinear control model of cable-stayed beam can be established according to Hamilton' s principle.Using the method of multiple scales,the first-order approximate response of the primary resonance of cable-stayed beam with time-delayed feedback is obtained.Then the relationship between the system response and the control parameters is obtained.Moreover,the response peak and the critical excitation amplitude are obtained.The results show that there exist,multiple solutions and jumping phenomena occur in the primary resonance response,and the large-amplitude vibration can be effectively suppressed by regulating control gain and time delay.