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首页> 外文期刊>International Journal of Mechanical Sciences >Forced responses of cracked cantilever beams subjected to a concentrated moving load
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Forced responses of cracked cantilever beams subjected to a concentrated moving load

机译：集中移动载荷作用下开裂的悬臂梁的强迫响应

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摘要

An analytical method is developed to present the dynamic response of a cracked cantilever beam subject to a concentrated moving load. The cracked beam system is modeled as a two-span beam and each span of the continuous beam is assumed to obey Euler-Bernoulli beam theory. The crack is modeled as a rotational spring with sectional flexibility. Considering the compatibility requirements on the crack, the relationships between these two spans can be obtained. By using the analytical transfer matrix method, eigensolutions of this cracked system are obtained explicitly. The forced responses can be obtained by the modal expansion theory using the determined eigenfunctions. Some numerical results are shown to present the crack effects (crack extent, location of the crack) and are studied for different speeds of the moving load.
机译：开发了一种分析方法来呈现开裂的悬臂梁在集中运动载荷作用下的动力响应。裂纹梁系统被建模为两跨梁，并且假定连续梁的每个跨度都服从欧拉-伯努利梁理论。将裂纹建模为具有截面柔性的旋转弹簧。考虑到裂缝的相容性要求，可以获得这两个跨度之间的关系。通过使用解析传递矩阵法，可以明确地获得该裂化系统的本征解。可以使用确定的特征函数通过模态展开理论获得强制响应。一些数值结果显示出了裂纹的影响（裂纹程度，裂纹的位置），并针对不同的移动载荷速度进行了研究。

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