弹性约束边界条件下拉索结构横向振动特性分析
PDF下载 (13252)程 鹏,冯志敏,陈跃华 *,张 刚,闫 伟.弹性约束边界条件下拉索结构横向振动特性分析[J].宁波大学学报(理工版),2018,31(2):55-62.DOI:
CHENG Peng,FENG Zhi-min,CHEN Yue-hua *,ZHANG Gang,YAN Wei.Transverse vibration of cables under elastic boundary conditions[J].Journal of Ningbo University(Natural Science & Engineering Edition),2018,31(2):55-62.DOI:
| Title: | Transverse vibration of cables under elastic boundary conditions |
| 作者: | 程 鹏, 冯志敏, 陈跃华 *, 张 刚, 闫 伟 |
| Author(s): | CHENG Peng, FENG Zhi-min, CHEN Yue-hua *, ZHANG Gang, YAN Wei |
| 关键词: | 拉索; 横向振动; 弹性边界约束; 切比雪夫级数; 固有频率 |
| Keywords: | stay cable; transverse vibration; elastic boundary constraint; Chebyshev series; natural frequencies |
| 分类号: | O327 |
| 文献标识码: | A |
| 摘要: | 在拉索两端引入线性约束弹簧和扭转约束弹簧, 通过对弹簧设置相应的刚度系数, 得到弹性边界条件包括经典边界条件下的拉索横向振动模型. 振动位移采用切比雪夫级数展开, 使得横向位移在整个求解域内足够光滑. 对不同边界条件下的拉索横向振动进行了研究, 研究结果与参考结果的良好吻合验证了所构造模型的正确性; 并进一步对线性约束弹簧刚度和扭转约束弹簧刚度对拉索横向振动特性的影响进行了分析. 研究结果表明, 边界条件对拉索振动固有频率的影响不可忽略. |
| Abstract: | The linear springs and the torsion springs are applied to both ends of the cable. By introducing the boundary springs and defining stiffness constants to the springs, the transverse vibration model of the cable under arbitrary elastic boundary conditions including all the classical boundary conditions can be easily obtained. The displacement of the transverse vibration of the cable is extended to a Chebyshev series, which makes the constructed functions sufficiently smooth in the whole solution domain. The transverse vibration of the cable under different boundary conditions is also investigated. The test results are in good agreement with those from the references for verifying the correctness of the constructed model. The analysis on influence of boundary stiffness and torsional stiffness on the transverse vibration characteristics of the cable is conducted, indicating that the influence of the boundary condition on the natural frequencies of the cable should by all means be taken into consideration. |
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| 备注/Memo: | 收稿日期: 2017－08－30. 宁波大学学报（理工版）网址: http://journallg.nbu.edu.cn/ 基金项目: 国家自然科学基金（51675286, 51505237）. 第一作者: 程鹏（1992－）, 男, 湖北荆州人, 在读硕士研究生, 主要研究方向: 机械结构振动与机电控制. E-mail: chengpeng2017cp@163.com *通信作者: 陈跃华（1986－）, 男, 湖南常德人, 讲师, 主要研究方向: 船舶结构振动与噪声控制. E-mail: chenyuehua@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
