Wave mixing in coupled phononic crystals via a variable stiffness mechanism

Lee, Gil Yong; Chong, Christopher; Kevrekidis, P. G.; Yang, Jinkyu

doi:10.1016/j.jmps.2016.06.005

Cited by 13 publications

(3 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…4A), and (ii) large-amplitude and slow-traveling, more localized waves (high spikes and dips). The separation of waves into such two groups arises from the two DOF nature of the TCO cells with coupled axial and rotational motions (see the reference (42) for wave mixing effects in such settings). While the former wave group is interesting on its own right, in this study, we focus on the slower but larger-amplitude mechanical waves from a perspective of mitigating impact.…”

Section: Dynamic Analysismentioning

confidence: 99%

Origami-based impact mitigation via rarefaction solitary wave creation

et al. 2019

Self Cite

View full text Add to dashboard Cite

The principles underlying the art of origami paper folding can be applied to design sophisticated metamaterials with unique mechanical properties. By exploiting the flat crease patterns that determine the dynamic folding and unfolding motion of origami, we are able to design an origami-based metamaterial that can form rarefaction solitary waves. Our analytical, numerical, and experimental results demonstrate that this rarefaction solitary wave overtakes initial compressive strain waves, thereby causing the latter part of the origami structure to feel tension first instead of compression under impact. This counterintuitive dynamic mechanism can be used to create a highly efficient—yet reusable—impact mitigating system without relying on material damping, plasticity, or fracture.

show abstract

Section: Dynamic Analysismentioning

confidence: 99%

Origami-based impact mitigation via rarefaction solitary wave creation

et al. 2019

Self Cite

View full text Add to dashboard Cite

show abstract

“…These lower and higher modes are formed due to the coupling behavior between axial and rotational motions of the TCO. The modes in a coupled system, where wave dynamics of two channels is coupled, can be manipulated by applying two different inputs to the system [15]. For example, if we use sinusoidal excitation of force and torque as input, we can select a specific mode from the TCObased structure (see conceptual illustration in Fig.…”

Section: (D) Dispersion Relationship Obtained From 2d Fft Applied To mentioning

confidence: 99%

Tunable Frequency Band Structure of Origami-Based Mechanical Metamaterials

Yasuda¹,

Yang²

2017

Journal IASS

View full text Add to dashboard Cite

In this study, we show the formation of frequency band structures in origami-based mechanical metamaterials composed of the Triangulated Cylindrical Origami (TCO). Interestingly, the folding behavior of this structure can exhibit both axial and rotational motions under external excitations. Therefore, these two motions can be strongly coupled with each other, which leads to unique dynamic behavior, particularly wave mixing effects. To analyze the folding behavior of the TCO cells, we model their triangular facets into a network of linear springs. We assemble a 1D chain of multiple TCO unit cells stacked vertically in various arrangements, e.g., changing their stacking sequences and/or orientation angles. We study frequency responses of this system to investigate wave mixing effects between axial and rotational motions under dynamic excitations. This dynamic analysis on the multi-cell structure demonstrates the formation of tunable frequency band structures, which can be manipulated by the arrangement of the unit cells and their initial configurations. By taking advantage of their unique dynamic mechanisms, the origami-based mechanical metamaterials have great potential to be used for controlling structural vibrations in an efficient manner.

show abstract

“…As an artificial periodical and functional structure, phononic crystals (PCs) have caught widespread attention by the ability of controlling the propagative characteristics of different elastic waves [1][2][3][4][5]. PC models adhere to the crystal structure, namely construct PC models in rectangular coordinate system, while for the circular plate, cylindrical shell and spherical shell structure, it is difficult to construct the PC structure with similar vibration reduction performance.…”

Section: Introductionmentioning

confidence: 99%

Vibration and acoustic insulation properties of generalized phononic crystals

Wang

Shu

Zhang

2021

Eur. Phys. J. Appl. Phys.

View full text Add to dashboard Cite

Based on the previous studies, the concept of generalized phononic crystals (GPCs) is further introduced into the cylindrical shell structures, and a type of cylindrical shells of generalized phononic crystals (CS-GPCs) is constructed. Subsequently, the structure field and acoustic-structural coupled field of that composite cylindrical shells are examined respectively in this paper. Considering the Bloch theorem is not capable of explaining the generalized periodic situation existing in this structure field, a new analysis method involving transferring matrix eigenvalue based on the mechanical state vector is proposed to calculate the energy band structure. Through observing the energy band structure, an obvious wave band gap is obtained when the elastic wave propagates in the CS-GPCs for modes with different order, whose forming mechanism includes two aspects, i.e., the wave front expansion effect and the Bragg scattering effect. In addition, we further explore the related influences of the longitudinal wave mode and shear wave mode in structure on these band gaps, and some conclusions are illustrated. For acoustic-structural coupled field, the expressions of the acoustic transmission coefficients for different modes are built, and the frequency responses are numerically calculated to verify the band gap characteristics of the CS-GPCs. Furthermore, the acoustic pressure distribution of the internal and external acoustic fields is also analyzed in detail, and the influence laws of the parameters (offset distance and frequency) of the line source on acoustical pressure distribution and its directivity are explored.

show abstract

Wave mixing in coupled phononic crystals via a variable stiffness mechanism

Cited by 13 publications

References 42 publications

Origami-based impact mitigation via rarefaction solitary wave creation

Origami-based impact mitigation via rarefaction solitary wave creation

Tunable Frequency Band Structure of Origami-Based Mechanical Metamaterials

Vibration and acoustic insulation properties of generalized phononic crystals

Contact Info

Product

Resources

About