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邵传平, 朱园园. 鹅掌楸树叶在风中的变形与振动[J]. 力学学报, 2017, 49(2): 431-440. DOI: 10.6052/0459-1879-16-179
引用本文: 邵传平, 朱园园. 鹅掌楸树叶在风中的变形与振动[J]. 力学学报, 2017, 49(2): 431-440. DOI: 10.6052/0459-1879-16-179
Shao Chuanping, Zhu Yuanyuan. THE DEFORMATION AND VIBRATION OF TULIP LEAVES IN WIND[J]. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(2): 431-440. DOI: 10.6052/0459-1879-16-179
Citation: Shao Chuanping, Zhu Yuanyuan. THE DEFORMATION AND VIBRATION OF TULIP LEAVES IN WIND[J]. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(2): 431-440. DOI: 10.6052/0459-1879-16-179

鹅掌楸树叶在风中的变形与振动

THE DEFORMATION AND VIBRATION OF TULIP LEAVES IN WIND

  • 摘要: 树叶的空气动力与流固耦合特性研究在树木保护、新发电技术开发、太阳能帆板设计等方面具有重要意义.Vogel首次发现树叶在较高风速下具有形状重构以避免受损害的能力.Vogel实验时叶柄端部是简支的,与叶柄与树枝的自然连接方式不同.在本文的研究中,叶柄端部是固支的,叶片垂直悬挂,正面或反面迎风.在风速0~27 m/s范围内,存在两种叶片静止状态,即飞翼形稳定和锥形稳定;还有3种叶片振动状态,即低频摆动、第1和第2高频振动.这5种状态由5个临界风速决定.通过70余片树叶测试结果的统计,得到了树叶每个状态存在的概率,及每个临界风速的期望值.流动显示发现树叶变形后其尾流中存在旋涡脱落现象.天平测量发现叶片阻力系数随叶片雷诺数的增大而减小并逐渐接近于0.1.引入悬臂梁模型,采用测量的叶片气动力,对叶柄静态弯曲形状进行计算,结果表明当风速由0逐渐增至5 m/s时,叶柄向下游弯曲迅速;但风速由5 m/s进一步增大时,向下游的弯曲则变慢.

     

    Abstract: The study of aerodynamic and solid-fluid coupling characteristics of tree leaves is of significance in tree protection, new power generation technology and solar panel design. Vogel first observed that a tree leaf could reconfigure itself at high winds to avoid damage. Vogel's leaf was freely supported at its petiole end, which is quite different from the natural way of petiole-branch connection. In our study, the leaf was clamped at the end of its petiole. The lamina was vertically hanging, with its front or back surface facing wind. Two types of lamina steady status, i.e, wing steady and conic steady, three types of lamina vibration, i.e, low frequency sway, 1st and 2nd high frequency vibration, and 5 critical wind speeds were observed in the range of wind speed 0~27 m/s. The probability of existance of every status and the expected value of each critical wind speed were obtained by statistics of the results of more than 70 leaves. The phenomenon of vortex shedding from a deformed leaf was found by flow visualization. Wind tunnel balance measurement revealed that the leaf drag coefficient decreased with the increase of lamina Re, and finally reached 0.1. A cantilevered beam model was introduced, and the measured aerodynamic force on the lamina was used to simulate the static bending curve of a petiole. Results showed that, the downstream bending increased rapidly with the increase of wind speed from 0 to 5 m/s, but it slowed down from 5 m/s to higher ones.

     

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