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首页> 外文期刊>International Journal of Mechanical Engineering Education >An integrated project for teaching the post-buckling of a slender cantilever bar
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An integrated project for teaching the post-buckling of a slender cantilever bar

机译：一个教学细长悬臂梁的后屈曲的综合项目

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摘要

We describe an integrated project that includes theoretical, numerical and experimental studies designed to facilitate teaching the non-linear post-buckling of a cantilever column to undergraduate mechanical engineering students. We present the differential equation governing the behaviour of this mechanical system and show that this equation, although straightforward in appearance, is in fact rather difficult to solve owing to the presence of a non-linear term. In this sense, the system is similar to another well known physical system: the simple pendulum. This educational paper also addresses a simplified procedure for calculating the elliptical integrals that appear when the differential equation is solved. We present numerical results for various cases. Finally, we compare the theoretical results with the experimental ones obtained in the laboratory using materials which are easily and cheaply sourced.
机译：我们描述了一个包含理论，数值和实验研究的综合项目，旨在促进向机械工程专业的本科生教授悬臂柱的非线性后屈曲。我们提出了控制该机械系统行为的微分方程，并表明该方程虽然外观简单，但由于存在非线性项，实际上很难解决。从这个意义上讲，该系统类似于另一个众所周知的物理系统：简单的摆锤。该教学论文还讨论了一种简化的程序，用于计算求解微分方程时出现的椭圆积分。我们提供了各种情况下的数值结果。最后，我们将理论结果与在实验室中使用容易且廉价获得的材料获得的实验结果进行了比较。

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