Department of Mechatronics Engineering, Incheon National University, Incheon, 22012, Republic of Korea.
Department of Mechanical Engineering, Inha University, 100 Inha-ro, Michuhol-gu, Incheon, 22212, Republic of Korea.
Sci Rep. 2023 Jul 3;13(1):10750. doi: 10.1038/s41598-023-37962-9.
This study presents an initial study on the adaptive bistable stiffness of the hair cell bundle structure in a frog cochlea, and aims to harness its bistable nonlinearity that features a negative stiffness region for broadband vibration applications such as vibration-based energy harvesters. To this end, the mathematical model for describing the bistable stiffness is first formulated based on the modeling concept of piecewise type nonlinearities. The harmonic balance method was then employed to examine the nonlinear responses of bistable oscillator, mimicking hair cells bundle structure under the frequency sweeping condition, and their dynamic behaviors induced by bistable stiffness characteristics are projected on phase diagrams, and Poincare maps concerning the bifurcation. In particular, the bifurcation mapping at the super- and sub-harmonic regimes provides a better perspective to examine the nonlinear motions which occur in the biomimetic system. The use of bistable stiffness characteristics of hair cell bundle structure in frog cochlea thus offers physical insights to harness the adaptive bistable stiffness for metamaterial-like potential engineering structures such as vibration-based energy harvester, and isolator etc.
本研究对青蛙耳蜗中毛细胞束结构的自适应双稳态刚度进行了初步研究，旨在利用其双稳态非线性，为基于振动的能量收集器等宽带振动应用提供负刚度区域。为此，首先基于分段非线性建模概念，建立了描述双稳态刚度的数学模型。然后，采用谐波平衡法研究双稳态振荡器的非线性响应，模拟毛细胞束结构在频率扫描条件下的响应，并将其由双稳态刚度特性引起的动力学行为投影到相图和分岔的 Poincaré 映射上。特别是，在超谐和亚谐区域的分岔映射提供了更好的视角来检查仿生系统中发生的非线性运动。因此，青蛙耳蜗中毛细胞束结构的双稳态刚度特性的使用为利用自适应双稳态刚度来实现类似超材料的潜在工程结构提供了物理见解，如基于振动的能量收集器和隔振器等。
