论文标题
弯曲书的僵硬是什么？
What is the stiffness of a bent book?
论文作者
论文摘要
我们研究了类似书籍系统的弯曲，包括一堆弹性板，结合通过摩擦。该分层系统的行为富含且非平凡，具有明显的刚度和显着的滞后反应的非添加性增强。采用了降低程序来开发基于中心线的理论，该理论将堆栈描述为具有内部剪切的非线性平面杆。我们考虑非线性几何形状和堆叠板的弹性之间的耦合，从而在扰动上处理层间摩擦。该模型可以预测堆栈在三分弯曲中的机械响应，这与我们的实验非常吻合。值得注意的是，我们发现在变形过程中消散的能量可以在三个数量级上合理化，包括厚实的厚堆的机制，并具有较大的偏转。可以利用这种强大的耗散机制来设计新的低成本和高效阻尼装置。
We study the bending of a book-like system, comprising a stack of elastic plates coupled through friction. The behavior of this layered system is rich and nontrivial, with a non-additive enhancement of the apparent stiffness and a significant hysteretic response. A dimension reduction procedure is employed to develop a centerline-based theory describing the stack as a non-linear planar rod with internal shear. We consider the coupling between the nonlinear geometry and the elasticity of the stacked plates, treating the interlayer friction perturbatively. This model yields predictions for the stack's mechanical response in three-point bending that are in excellent agreement with our experiments. Remarkably, we find that the energy dissipated during deformation can be rationalized over three orders of magnitude, including the regimes of a thick stack with large deflection. This robust dissipative mechanism could be harnessed to design new classes of low-cost and efficient damping devices.
