张拉整体异向材料中孤立波动力学的多尺度可调谐性
Multiscale tunability of solitary wave dynamics in tensegrity metamaterials
摘要:
提出了一类基于张拉整体概念的强非线性异向介质,研究了冲击载荷下的孤立波动力学行为。这样的系统可以通过调整局部和整体预应力调整到弹性硬化或弹性软化状态。在软化区,这些超材料能够将最初的压缩脉冲转变为孤立的稀疏波,随后是振幅逐渐减小的振荡尾部。具有相应的低-高声阻抗的弹性硬化和软化材料之间的界面的压缩孤立波的相互作用展示了异常行为:在低阻抗材料中反射的压缩孤立波的训练;和在高阻抗材料中具有振荡尾部的透射孤立稀疏波。稀疏孤立波与弹性软化和弹性硬化材料之间的界面与高低阻抗的相互作用也表现出异常的行为:反射孤立稀疏波与振荡的尾巴在高阻抗分支和延迟训练的传输压缩孤立脉冲在低阻抗分支。这些异常的撞击转变特性可以允许设计最终的撞击减缓装置而不依赖于能量耗散。
英文摘要:
A new class of strongly nonlinear metamaterials based on tensegrity concepts is proposed and the solitary wave dynamics under impact loading is investigated. Such systems can be tuned into elastic hardening or elastic softening regimes by adjusting local and global prestress. In the softening regime these metamaterials are able to transform initially compression pulse into a solitary rarefaction wave followed by oscillatory tail with progressively decreasing amplitude. Interaction of a compression solitary pulse with an interface between elastically hardening and softening materials having correspondingly low-high acoustic impedances demonstrates anomalous behavior: a train of reflected compression solitary waves in the low impedance material; and a transmitted solitary rarefaction wave with oscillatory tail in high impedance material. The interaction of a rarefaction solitary wave with an interface between elastically softening and elastically hardening materials with high-low impedances also demonstrates anomalous behavior: a reflected solitary rarefaction wave with oscillatory tail in the high impedance branch; and a delayed train of transmitted compression solitary pulses in the low impedance branch. These anomalous impact transformation properties may allow for the design of ultimate impact mitigation devices without relying on energy dissipation.
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