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首页> 外文期刊>Journal of Sound and Vibration >Dynamic response of a shallow arch under end moments
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Dynamic response of a shallow arch under end moments

机译:端弯作用下浅拱的动力响应

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In this paper we study the dynamic response of a pinned shallow arch subjected to a pair of equal and opposite end moments suddenly. An experimental setup is designed to measure both the static deflection and dynamic response of the loaded arch. The dynamic buckling load as a function of the rise parameter is of particular interest. In order to theoretically identify the necessary and sufficient condition for dynamic snap-through, an accurate estimate of the system damping is required. This, however, proves to be a difficult task. A more practical approach is to adopt a sufficient condition which ensures that the arch will be safe from dynamic snapping. This condition leads to a lower bound of the dynamic critical load. As long as the end moments are smaller than this lower bound, it is guaranteed that the arch will not snap dynamically no matter what the system damping may be. For an arch with rise parameter greater than 6.55, it is shown that a closed-form expression of this lower bound of dynamic critical load can be derived. This simple formula should prove useful to design engineers.
机译:在本文中,我们研究了固定的浅拱拱突然受到一对相等且相反的端力矩的动力响应。设计了一个实验装置来测量加载拱的静态挠度和动态响应。作为上升参数的函数的动态屈曲载荷特别令人关注。为了从理论上确定动态捕捉的必要和充分条件,需要对系统阻尼进行准确估算。然而,事实证明这是一项艰巨的任务。一种更实用的方法是采用足够的条件,以确保拱免于动态弹跳。这种情况导致动态临界载荷的下限。只要结束力矩小于该下限,就可以确保无论系统阻尼如何,拱形都不会动态捕捉。对于具有大于6.55的上升参数的拱,表明可以导出此动态临界载荷下限的闭合形式。这个简单的公式应该对设计工程师有用。

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