Chemical and Biomolecular Engineering, Georgia Institute of Technology, Atlanta, GA, 30311, USA.
Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, 30311, USA.
J Comp Physiol A Neuroethol Sens Neural Behav Physiol. 2021 Mar;207(2):205-217. doi: 10.1007/s00359-021-01475-5. Epub 2021 Mar 15.
We develop a mathematical model to capture the web dynamics of slingshot spiders (Araneae: Theridiosomatidae), which utilize a tension line to deform their orb webs into conical springs to hunt flying insects. Slingshot spiders are characterized by their ultrafast launch speeds and accelerations (exceeding 1300 [Formula: see text]), however a theoretical approach to characterize the underlying spatiotemporal web dynamics remains missing. To address this knowledge gap, we develop a 2D-coupled damped oscillator model of the web. Our model reveals three key insights into the dynamics of slingshot motion. First, the tension line plays a dual role: enabling the spider to load elastic energy into the web for a quick launch (in milliseconds) to displacements of 10-15 body lengths, but also enabling the spider to halt quickly, attenuating inertial oscillations. Second, the dominant energy dissipation mechanism is viscous drag by the silk lines - acting as a low Reynolds number parachute. Third, the web exhibits underdamped oscillatory dynamics through a finely-tuned balance between the radial line forces, the tension line force and viscous drag dissipation. Together, our work suggests that the conical geometry and tension-line enables the slingshot web to act as both an elastic spring and a shock absorber, for the multi-functional roles of risky predation and self-preservation.
我们开发了一个数学模型来捕捉弹弓蜘蛛(Araneae:Theridiosomatidae)的网络动态,它们利用张力线将其轨道网变形为圆锥形弹簧以捕食飞行昆虫。弹弓蜘蛛的特点是超快的发射速度和加速度(超过 1300 [公式:见正文]),然而,描述其潜在时空网络动态的理论方法仍然缺失。为了解决这个知识差距,我们开发了一个二维耦合阻尼振荡器模型的网络。我们的模型揭示了弹弓运动动力学的三个关键见解。首先,张力线起着双重作用:使蜘蛛能够将弹性能量加载到网中,以便在毫秒内快速发射,将蜘蛛的位移移动 10-15 个体长,但也使蜘蛛能够迅速停止,衰减惯性振荡。其次,主要的能量耗散机制是丝线上的粘性阻力——充当低雷诺数降落伞。第三,通过精细调整的径向线力、张力线力和粘性阻力耗散之间的平衡,网络表现出欠阻尼的振荡动力学。总的来说,我们的工作表明,圆锥形几何形状和张力线使弹弓网能够同时充当弹性弹簧和减震器,以实现危险捕食和自我保护的多功能作用。