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| 考虑拉索损伤的索-梁组合结构面内自由振动分析 |
| In plane free vibration analysis of cable-beam composite structure with cable damage |
| 投稿时间：2024-06-18 修订日期：2024-08-02 |
| DOI： |
| 中文关键词: 索梁组合结构 拉索损伤 结构动力学 自由振动 内共振 |
| 英文关键词:cable beam composite structure cable damage structural dynamics free vibration internal resonance |
| 基金项目:国家自然科学基金资助项目(12202109，12372006，12372007)；广西科技基地与人才专项-青年创新人才科研专项(桂科AD22035930). |
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| 中文摘要: |
| 为了探究拉索损伤对索-梁组合结构的面内自由振动特性影响，本文引入拉索损伤程度、范围和位置的三个无量纲参数，建立拉索损伤下的单索-悬臂梁组合结构面内动力学模型。应用分离变量法，确定单索-悬臂梁模型的面内自由振动特征值问题。同时，建立拉索无损和有损下的有限元模型进行对比验证，所得结果与本文理论结果吻合良好。研究表明：拉索损伤一般在拉索垂度或损伤程度、范围较大的情况下，才会对组合结构频率有明显减小；当拉索损伤程度和损伤范围增大到一定值后，高阶频率之间容易出现1:1模态内共振现象；损伤导致的拉索非对称初始构型可导致组合结构的频率增大，组合结构部分混合模态转变为局部模态，部分局部模态转变为混合模态。 |
| 英文摘要: |
| In order to investigate the effect of cable damage on in-plane free vibration characteristics of cable-beam composite structures, three dimensionless parameters of cable damage intensity, extent and position are introduced in this paper to establish an in-plane dynamic model of single-cable cantilever beam composite structures with cable damage. The eigenvalue problem of in-plane free vibration of a single cable-cantilever beam model is determined by the method of separation of variables. At the same time, the finite element models under undamaged and damaged conditions of the cable are established for verification, and the results are in good agreement with the theoretical results. The results show that the frequency of the combined structure will decrease obviously only when the sag or damage intensity and extent of the cable are large. When the damage intensity and extent of the cable increase to a certain value, the high order frequencies tend to appear 1:1 in-mode resonance phenomenon. The asymmetric initial configuration caused by damage can increase the frequency of the combined structure, and some mixed modes of the combined structure change to local modes, some local modes change to mixed modes. |
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