论文标题
音调控制螺旋丝带的灵活性
Pitch Controls the Flexibility of Helical Ribbons
论文作者
论文摘要
螺旋对象通常在电子或机械微系统中实现,需要精确理解其机械性能。尽管已经深入研究了由圆柱形细丝形成的螺旋,但对灯笼形状的丝截面的作用知之甚少。我们通过实验研究由超薄PMMA丝带制造的微螺旋的力伸展响应。量化了螺旋螺距的影响,利用新实现的控制,量化了螺旋螺距的影响,并突出显示了螺旋丝带随着螺距增加的显着僵硬。确定了两种现象:从小螺距上的色带扭曲到高螺距上弯曲主导的状态的机械过渡,以及纯粹的几何效应,特定于螺旋丝带。与先前建立的不可延迟弹性条的分析模型相处得很好。
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.