Transverse Vibration of Clamped-Pinned-Free Beam with Mass at Free End
Transverse Vibration of Clamped-Pinned-Free Beam with Mass at Free End
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DOI：
10.3390/app9152996
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发表时间：
2019-08-01
影响因子：
2.7
通讯作者：
Downey, Austin
中科院分区：
文献类型：
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作者：
Hong, Jonathan;Dodson, Jacob;Downey, Austin
经历极端和恶劣环境的工程系统经常会经历快速的破坏性影响。为了最大限度地减少经济投资和人类生命的损失，这些高速率系统的结构健康监测（SHM）正在研究中。已经开发了一个实验测试平台，在可控和可重复的实验室环境中验证SHM方法。本研究将欧拉-伯努利梁理论应用于此试验台，以开发系统的解析解。本文详细讨论了一端固定、一端铰支、一端自由的梁的横向振动问题。结果得出不同的销的位置和质量值。沿着给出了前五个模态的特征值图及其各自的模态形状。理论计算进行了实验验证和讨论。
Engineering systems undergoing extreme and harsh environments can often times experience rapid damaging effects. In order to minimize loss of economic investment and human lives, structural health monitoring (SHM) of these high-rate systems is being researched. An experimental testbed has been developed to validate SHM methods in a controllable and repeatable laboratory environment. This study applies the Euler-Bernoulli beam theory to this testbed to develop analytical solutions of the system. The transverse vibration of a clamped-pinned-free beam with a point mass at the free end is discussed in detail. Results are derived for varying pin locations and mass values. Eigenvalue plots of the first five modes are presented along with their respective mode shapes. The theoretical calculations are experimentally validated and discussed.