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| Temperature effects on the resonance responses of stay cables under support excitation |
| Received:July 04, 2016 Revised:August 24, 2016 |
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| DOI：10.7511/jslx201705017 |
| KeyWord:stay cable temperature variation resonance response Runge-Kutta method |
| Author | Institution |
| 赵珧冰 |
华侨大学 土木工程学院, 厦门 ;湖南大学 土木工程学院, 长沙 |
| 孙测世 |
重庆交通大学 土木工程学院, 重庆 ;湖南大学 土木工程学院, 长沙 |
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| Abstract: |
| Based on the incremental thermal field theory,the nonlinear dynamic model of stay cables with thermal effects was established by introducing two non-dimensional parameters in the cable tension force and the sag,and the nonlinear vibration equations of motion were derived by the Hamilton' s principle.Under support excitation,these differential equations were discretized by the Galerkin method. The first two in-plane and out-of-plane mode shapes were selected in forming the dynamic response and the Runge-Kutta method was used to solve these ordinary differential equations from forward sweeping to backward sweeping.The amplitude-frequency response curves of the numerical examples show that the natural frequencies decrease with temperature changes; the resonance interval drifts;the location of the jump point shifts; the resonance response amplitudes change;under the excitation of the support motions,many more modes might be excited when the temperature is changed,so the energy of different modes and the energy transfer between different modes varies under temperature changes. |
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