弹性薄壁圆柱管作为非虎克弹簧的理论与实验分析
Theoretical and experimental analysis of a thin elastic cylindrical tube acting as a non-Hookean spring
摘要：
本文分析了弹性薄圆管在平行于管轴的两块板之间受压时的变形和能量问题。变形理论研究采用精确的数值模拟和变分方法。这些结果被用来解释实验数据通过压制塑料箔管在一个专门为此目的而设计的装置。我们提出的物理学的一个简化变体被用作2010年7月在克罗地亚萨格勒布举行的第41届国际物理奥林匹克竞赛中提出的一个实验问题的基础。
英文摘要：
We analyze the deformation and energetics of a thin elastic cylindrical tube compressed between two plates which are parallel to the tube axis. The deformation is studied theoretically using exact numerical simulations and the variational approach. These results are used to interpret the experimental data obtained by pressing plastic-foil tubes in an apparatus specially designed for this purpose. A simplified variant of the physics that we present was used as a basis for one of the experimental problems posed on the 41st International Physics Olympiad held in Zagreb, Croatia in July 2010.
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