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 引用本文: 刘向尧, 聂宏, 魏小辉等 . 复杂边界条件下的多跨梁的振动模型[J]. 北京航空航天大学学报, 2015, 41(5): 841-846.
LIU Xiangyao, NIE Hong, WEI Xiaohuiet al. Vibration model for multi-span beam with arbitrary complex boundary conditions[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(5): 841-846. doi: 10.13700/j.bh.1001-5965.2014.0315(in Chinese)
 Citation: LIU Xiangyao, NIE Hong, WEI Xiaohuiet al. Vibration model for multi-span beam with arbitrary complex boundary conditions[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(5): 841-846. (in Chinese)

• 中图分类号: O326

Vibration model for multi-span beam with arbitrary complex boundary conditions

• 摘要: 对Timoshenko梁的横向自由振动方程进行推导,进而运用传递矩阵法给出了复杂边界条件下的多跨梁的自由振动模型.在不考虑梁的剪切变形和绕中性轴的转动惯量的影响的情况下,模型简化成了Bernoulli-Euler梁的格式.通过分析,给出了3个具有工程意义的简化模型,分别是双跨梁、悬臂梁带有集中质量模型及带有任意拉压弹簧和集中质量的自由振动模型.简化模型的分析结果与已有文献的分析结果相比具有很好的一致性,表明本文建立的模型是合理可用的.

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出版历程
• 收稿日期:  2014-06-03
• 修回日期:  2014-09-05
• 刊出日期:  2015-05-20

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