螺距控制螺旋带的柔性
Pitch Controls the Flexibility of Helical Ribbons
摘要：
螺旋物体通常在电子或机械微系统中实现，需要对其机械特性的精确理解。虽然由圆柱形细丝形成的螺旋已经被深入研究，但关于细丝的横截面在螺旋形状的基础上的作用知之甚少。我们实验研究了由超薄PMMA带制成的微螺旋的力-拉伸响应。利用新实现的控制的螺旋几何形状，螺旋节距的影响被量化，并突出了显着的硬化的螺旋带与螺距增加。确定了两种现象：从以小间距扭曲带为主的状态到以高间距弯曲为主的状态的机械过渡以及螺旋带特有的纯几何效应。与先前建立的不可伸展的弹性带的分析模型，发现很好的协议。
英文摘要：
Helical objects are often implemented in electronic or mechanical micro-systems, requiring a precise understanding of their mechanical properties. While helices formed by cylindrical filaments have been intensely investigated, little is known about the role of the cross-section of the filament at the basis of the helical shape. We study experimentally the force-extension response of micro-helices fabricated from ultra-thin PMMA ribbons. Leveraging newly achieved control on the helix geometry, the influence of the helical pitch is quantified and a significant stiffening of the helical ribbons with increasing pitch is highlighted. Two phenomena are identified: a mechanical transition from a regime dominated by twisting of the ribbon at small pitch to a bending-dominated regime at high pitch and a purely geometrical effect, specific to helical ribbons. Excellent agreement is found with a previously established analytical model of inextensible elastic strips.
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