| 近于优化跨度连续曲线梁的自由振动 |
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| 引用本文： | 王元丰.近于优化跨度连续曲线梁的自由振动[J].北京交通大学学报(自然科学版),1999(1):2. |
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| 作者姓名： | 王元丰 |
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| 作者单位： | 北方交通大学土木建筑工程学院 |
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| 摘 要： | 基于在低速移动荷载或静力荷载作用下，多跨连续曲梁各跨峰值挠度相等的原则，给出了多跨连续曲梁在静力荷载作用下优化跨度及在动力荷载作用下近于优化跨度的取值，并对近于优化跨度的三跨连续曲梁，采用逆向搜索法首次获得其自由振动率及模态的解析解．对比试验曲梁的试验结果与计算结果，两者吻合十分良好，证明所得结果的正确性
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| 关 键 词： | 多跨连续曲线梁 近于优化跨度 自由振动 解析解 |
Free Vibration of Near-Optimal Span Continuous Curved Beams |
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| J.F.Wilson,Wang Yuanfeng,J.F.Wilson.Free Vibration of Near-Optimal Span Continuous Curved Beams[J].JOURNAL OF BEIJING JIAOTONG UNIVERSITY,1999(1):2. |
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| Authors: | JFWilson Wang Yuanfeng JFWilson |
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| Abstract: | Based on the optimal span definition: the peak deflections of each segment are all equal when continuous beams are traversed by the vertical point load at crawl speed or zero speed, the paper presents the optimal span ratio under static load and near optimal span ratio under moving load of the curved beams. The free vibration of near optimal three span continuous curved beams is investigated by adopting the determinant search method. The calculated free vibration results of a experimental curved beam agree quite well with the experimental data, validating the obtained analytical solutions. |
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| Keywords: | multiple span curved beam\ near optimal span\ free vibration\ analytical solution |
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