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| Nonlinear resonant response of suspended cables considering damage effects |
| Received:January 22, 2021 Revised:June 24, 2021 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20210122004 |
| KeyWord:suspended cable damage effect resonant response multiple scales method steady-state solution |
| Author | Institution |
| 郑攀攀 |
华侨大学 土木工程学院, 厦门 |
| 赵珧冰 |
华侨大学 土木工程学院, 厦门 |
| 吴先强 |
华侨大学 土木工程学院, 厦门 |
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| Abstract: |
| Suspended cables are inevitably damaged during construction,operation and maintenance,which leads to changes in vibration characteristics.Based on the Hamilton’s principle,three dimensionless parameters of damage intensity,extent and position are introduced here.The in-plane nonlinear dynamic model of the suspended cables considering the damage is established,and the infinite dimensional dynamic differential equation can be obtained.The amplitude-frequency response equation and steady-state solutions are obtained by using the higher-order multi-scale method.Numerical examples show that the linear and nonlinear resonance response characteristics of the suspended cables are closely related to damage effects.Once a suspended cable is damaged,its tension decreases and the sag increases,and a new static configuration is generated.The natural frequencies of the damaged cable decreases with the increase of the damage intensity.Damage effects make the crossover point between the symmetric and antisymmetric mode frequencies shift and the internal resonant responses could be affected.The vibration characteristics of the system are changed quantitatively and qualitatively due to the damage effects,and the resonant response characteristics are significantly affected by damage with different sag-to-span ratios.The damage effect can even directly change the amplitude of the steady-state response and the number of stable solutions,causing large amplitude and endangering the safety of the structures. |
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