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Structures buckling under tensile dead load

机译:结构在拉伸恒载下屈曲

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摘要

Some 250 years after the systematic experiments by Musschenbroek and their rationalization by Euler, for the first time we show that it is possible to design structures (i.e. mechanical systems whose elements are governed by the equation of the elastica) exhibiting bifurcation and instability (‘buckling’) under tensile load of constant direction and point of application (‘dead’). We show both theoretically and experimentally that the behaviour is possible in elementary structures with a single degree of freedom and in more complex mechanical systems, as related to the presence of a structural junction, called ‘slider’, allowing only relative transversal displacement between the connected elements. In continuous systems where the slider connects two elastic thin rods, bifurcation occurs both in tension and in compression, and is governed by the equation of the elastica, employed here for tensile loading, so that the deformed rods take the form of the capillary curve in a liquid, which is in fact governed by the equation of the elastica under tension. Since axial load in structural elements deeply influences dynamics, our results may provide application to innovative actuators for mechanical wave control; moreover, they open a new perspective in the understanding of failure within structural elements.
机译:在Musschenbroek进行系统实验并由Euler对其进行合理化之后约250年,我们首次表明,可以设计出表现出分叉和不稳定性(“屈曲”)的结构(即,机械系统的元素受弹性方程控制)。 ')在恒定方向和施加点('死')的拉伸载荷下。我们在理论上和实验上都表明,这种行为在具有单个自由度的基本结构中以及在更复杂的机械系统中都是可能的,这与存在称为“滑块”的结构结有关,从而仅允许所连接的相变点之间发生相对横向位移元素。在滑动器连接两个弹性细杆的连续系统中,分叉在拉伸和压缩时都会发生,并且受弹性公式控制,此处用于拉伸载荷,因此变形的杆采用毛细管曲线的形式。液体,实际上受张力下的弹性方程式支配。由于结构元件中的轴向载荷会深深影响动力学,因此我们的结果可能会为创新的用于机械波控制的执行器提供应用。而且,它们为理解结构要素内的失效开辟了新的视角。

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