The axial buckling behavior is determined for an elastic beam or rod which has a uniform curvature in its natural state, is straightened by pure bending, and clamped at its ends. Buckling can be either identical to the classical two-dimensional behavior determined by Euler, or it can be three-dimensional involving twist and deflection out of the plane of natural curvature depending on the bending and torsional stiffnesses and the natural curvature. While the classical two-dimensional buckling behavior of Euler's elastica is stable under applied load, the three-dimensional buckling behavior can be stable or unstable. Theoretical and experimental examples are presented illustrating the full range of possibilities.

中文翻译：

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由于自然曲率而具有预应力的松紧带


轴向屈曲行为是针对在自然状态下具有均匀曲率、通过纯弯曲拉直并在其端部夹紧的弹性梁或杆确定的。屈曲可以与欧拉确定的经典二维行为相同，也可以是三维的，涉及自然曲率平面外的扭曲和偏转，具体取决于弯曲和扭转刚度以及自然曲率。虽然欧拉弹性体的经典二维屈曲行为在施加载荷下是稳定的，但三维屈曲行为可以是稳定的也可以是不稳定的。理论和实验示例说明了各种可能性。