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Origami-based mechanical metamaterials with tunable frequency band structures (Conference Presentation)

机译:基于折纸的机械超材料,可调频带结构(会议演示)

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We investigate wave dynamics in origami-based mechanical metamaterials composed of bellows-like origami structures, specifically the Tachi-Miura Polyhedron (TMP). One of the unique features of the TMP is that its structural deformations take place only along the crease lines, therefore the structure can be made of rigid plates and hinges. By utilizing this feature, we introduce linear torsional springs to model the crease lines and derive the force and displacement relationship of the TMP structure along the longitudinal direction. Our analysis shows strain softening/hardening behaviors in compression/tensile regions respectively, and the force-displacement curve can be manipulated by altering the initial configuration of the TMP (e.g., the initial folding angle). We also fabricate physical prototypes and measure the force-displacement behavior to verify our analytical model. Based on this static analysis on the TMP, we simplify the TMP structure into a linkage model, preserving the tunable strain softening/hardening behaviors. Dynamic analysis is also conducted numerically to analyze the frequency response of the simplified TMP unit cell under harmonic excitations. The simplified TMP exhibits a transition between linear and nonlinear behaviors, which depends on the amplitude of the excitation and the initial configuration. In addition, we design a 1D system composed of simplified TMP unit cells and analyze the relationship between frequency and wave number. If two different configurations of the unit cell (e.g., different initial folding angles) are connected in an alternating arrangement, the system develops frequency bandgaps. These unique static/dynamic behaviors can be exploited to design engineering devices which can handle vibrations and impact in an efficient manner.
机译:我们研究了由波纹管折纸结构组成的基于折纸的机械超材料中的波动态,特别是Tachi-Miura多面体(TMP)。 TMP的独特特征之一是其结构变形仅沿着折痕线进行,因此结构可以由刚性板和铰链制成。通过利用该特征,我们引入线性扭转弹簧以模拟折痕线,并导出TMP结构沿纵向的力和位移关系。我们的分析显示了分别压缩/拉伸区域中的应变软化/硬化行为,并且可以通过改变TMP的初始配置(例如,初始折叠角度)来操纵力 - 位移曲线。我们还制造了物理原型并测量了力 - 位移行为以验证我们的分析模型。基于对TMP的这种静态分析,我们将TMP结构简化为连杆模型,保持可调谐应变软化/硬化行为。动态分析还进行了数控进行以分析简化TMP单元电池在谐波激发下的频率响应。简化的TMP在线性和非线性行为之间表现出过渡,这取决于激励的幅度和初始配置。此外,我们设计了由简化的TMP单元单元组成的1D系统,并分析频率和波数之间的关系。如果单位单元(例如,不同的初始折叠角)的两个不同的配置以交替布置连接,则系统开发频率带隙。这些独特的静态/动态行为可以利用设计工程设备,可以以有效的方式处理振动和影响。

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