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Bucklewaves

机译:扣波

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摘要

Motivated by a selection of results on the plastic buckling of column members within a sandwich plate core where one face of the sandwich is subject to an intense impulse, the problem addressed is one where lateral buckling takes place simultaneously as a compressive axial wave propagates down the member. The bucklewave problem is modeled as an infinitely long column (or wide plate) which is clamped against lateral deflection at the end where velocity is imposed and has a moving clamped condition coinciding with the front of the plastic compression wave. The model reveals that a column or plate suddenly compressed into the plastic range is dynamically stabilized against lateral buckling for lengths that are significantly longer than the corresponding length at which the member would buckle quasi-statically. This stabilization has significant implications for energy absorption under intense dynamic loading. The analysis method is benchmarked against a simpler, but mathematically analogous problem, for which closed form solutions are available: the dynamics of a guitar string lengthening at constant velocity.
机译:出于对夹心板芯内的柱构件塑性屈曲的一系列结果的激励,其中三明治的一个面受到强烈的脉冲,所解决的问题是当压缩轴向波向下传播时,横向屈曲同时发生会员。弯曲波问题被建模为无限长的圆柱(或宽板),该圆柱被夹紧以防止在施加速度的端部发生横向偏转,并且移动的夹紧状态与塑性压缩波的前部相吻合。该模型表明,突然压缩到塑料范围内的圆柱或板是动态稳定的,以防止横向屈曲,其长度明显大于该构件准静态弯曲的相应长度。这种稳定化对于剧烈动态载荷下的能量吸收具有重要意义。该分析方法针对一个更简单但在数学上类似的问题进行了基准测试,该问题可以采用封闭形式的解决方案:吉他弦以恒定速度加长的动力学特性。

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