Insect Wing Buckling Influences Stress and Stability During Collisions

Mark A. Jankauski, Ryan Schwab, Cailin Casey, Andrew M. Mountcastle
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Abstract

Flapping insect wings frequently collide with vegetation and other obstacles during flight. Repeated collisions may irreversibly damage the insect wing, thereby compromising the insect’s ability to fly. Further, reaction torques caused by the collision may destabilize the insect and hinder its ability to maneuver. To mitigate the adverse effects of impact, some insect wings are equipped with a flexible joint called a “costal break.” The costal break buckles once it exceeds a critical angle, which is believed to improve flight stability and prevent irreversible wing damage. However, to our knowledge, there are no models to predict the dynamics of the costal break. Through this research, we develop a simple model of an insect wing with a costal break. The wing was modeled as two beams interconnected by a torsional spring, where the stiffness of the torsional spring instantaneously decreases once it has exceeded a critical angle. We conducted a series of static tests to approximate model parameters. Then, we used numerical simulation to estimate the peak stresses and reaction moments experienced by the wing during a collision. We found that costal break increased the wing’s natural frequency by about 50% compared to a homogeneous wing and thus reduced the stress associated with normal flapping. Buckling did not significantly affect peak stresses during collision. Joint buckling reduced the peak reaction moment by about 32%, suggesting that the costal break enhances flight stability.
昆虫翅膀屈曲影响碰撞过程中的应力和稳定性
昆虫扇动的翅膀在飞行过程中经常与植被和其他障碍物相撞。反复的碰撞可能会对昆虫的翅膀造成不可逆转的损伤,从而影响昆虫的飞行能力。此外,由碰撞引起的反作用力扭矩可能会使昆虫失去稳定并妨碍其机动能力。为了减轻撞击的不利影响,一些昆虫的翅膀配备了一个称为“肋断裂”的灵活关节。一旦超过临界角度,肋断裂就会弯曲,这被认为可以提高飞行稳定性,防止不可逆的机翼损伤。然而,据我们所知,没有模型来预测沿海断裂的动力学。通过这项研究,我们开发了一个简单的模型,昆虫翅膀与肋断裂。机翼被建模为两根由扭转弹簧连接的梁,一旦扭转弹簧超过临界角,扭转弹簧的刚度立即降低。我们进行了一系列的静态测试来近似模型参数。然后,我们使用数值模拟来估计碰撞过程中机翼所经历的峰值应力和反应力矩。我们发现,与均匀机翼相比,肋裂使机翼的固有频率提高了约50%,从而减少了与正常扑动相关的应力。碰撞过程中屈曲对峰值应力影响不显著。关节屈曲使峰值反应矩降低约32%,表明肋部断裂增强了飞行稳定性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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