具有受控端的弹性条的折断
Snapping of elastic strips with controlled ends
摘要：
研究了两端随时间运动和转动的弹性板条的折断机理。攻击的问题解析通过欧拉的弹性和总势能的第二变化，稳定的平衡配置的数量被公开通过改变运动的条端。这一结果导致了“通用捕捉表面”的定义，收集了系统捕捉的临界边界条件集。研究了弹速时的弹性能量释放，为脉冲运动的优化提供了有益的启示。通过与实验结果和有限元模拟结果的比较，验证了理论预测的正确性，充分证实了所提出的通用曲面的可靠性。所提出的分析可以在广泛的技术领域中找到应用，例如能量收集和跳跃机器人。
英文摘要：
Snapping mechanisms are investigated for an elastic strip with ends imposed to move and rotate in time. Attacking the problem analytically via Euler's elastica and the second variation of the total potential energy, the number of stable equilibrium configurations is disclosed by varying the kinematics of the strip ends. This result leads to the definition of a `universal snap surface', collecting the sets of critical boundary conditions for which the system snaps. The elastic energy release at snapping is also investigated, providing useful insights for the optimization of impulsive motion. The theoretical predictions are finally validated through comparisons with experimental results and finite element simulations, both fully confirming the reliability of the introduced universal surface. The presented analysis may find applications in a wide range of technological fields, as for instance energy harvesting and jumping robots.
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