Two-dimensional complete band gaps in one-dimensional metal-dielectric periodic structures

2008 ◽  
Vol 92 (5) ◽  
pp. 053104 ◽  
Author(s):  
Jin-long Zhang ◽  
Hai-tao Jiang ◽  
Stefan Enoch ◽  
Gérard Tayeb ◽  
Boris Gralak ◽  
...  
Keyword(s):  
Periodic Structures ◽  
Band Gaps ◽  
Two Dimensional ◽  
One Dimensional

Optimal Design Approach for One-dimensional Rubber-Concrete Periodic Foundations based on Analytical Approximations of Band Gaps

2021 ◽  
Author(s):  
Zhifeng Xu
Keyword(s):  
Optimal Design ◽  
Periodic Structures ◽  
Analytical Approximation ◽  
Band Gaps ◽  
Design Approach ◽  
One Dimensional ◽  
Frequency Responses ◽  
Analytical Approximations ◽  
Resonance Frequencies ◽  
Rubber Concrete

This research investigates band gaps and frequency responses of one-dimensional periodic structures and further presents an optimal design approach for one-dimensional rubber-concrete periodic foundations based on the proposed analytical formulas for approximating the first few band gaps. The presented design approach is optimal for being able of globally searching the best solution which effectively cooperates the band gaps with the superstructure’s resonance frequencies. Firstly, frequency responses of one-dimensional periodic structures and the corresponding approximation method are studied. Furthermore, analytical approximation formulas for the first few band gaps, localization factor, attenuation coefficient, and frequency responses of one-dimensional rubber-concrete periodic foundations are proposed and verified. Lastly, inspired by the proposed analytical approximation for computing band gaps, an optimal design approach for one-dimensional rubber-concrete periodic foundations is presented and applied to a practical example, whose optimality is verified theoretically and numerically.

scholarly journals Complete Band Gaps in One-Dimensional Left-Handed Periodic Structures

2005 ◽  
Vol 95 (19) ◽  
Author(s):  
Ilya V. Shadrivov ◽  
Andrey A. Sukhorukov ◽  
Yuri S. Kivshar
Keyword(s):  
Periodic Structures ◽  
Band Gaps ◽  
One Dimensional ◽  
Left Handed

Thickness-Modulated One-Dimensional Periodic Phononic Crystal

2013 ◽  
Vol 750-752 ◽  
pp. 1207-1210 ◽  
Author(s):  
Ya Zhuo Xie ◽  
Hai Feng Qi ◽  
Min Zhao ◽  
Hui Fang ◽  
Jian Gao ◽  
...  
Keyword(s):  
Periodic Structures ◽  
Phononic Crystal ◽  
Dispersion Curves ◽  
Band Gaps ◽  
Plane Wave Expansion ◽  
Modulated Structure ◽  
One Dimensional ◽  
Periodic Model ◽  
Engineering Requirement ◽  
Media Layer

We have studied the dispersion curves of the thickness-modulated one-dimensional (1D) periodic phononic crystal. The dispersion curves of acoustic wave propagating perpendicular to the surfaces of the models are calculated based on the plane wave expansion (PWE) method. By compared the band gaps in thickness-modulated structure with the simple periodic structure, we have found that the band gaps in simple periodic model split into many sub-band gaps when the thickness of media layer is modulated periodically. This can be explained that the thickness-modulated structure can be considered to be made up of many periodic structures with different lattice spacing. It provides flexible choices for real engineering requirement.

One-dimensional and two-dimensional periodic structures for security devices, resonant filters, and photonic crystals

2003 ◽  
Author(s):  
Hans Peter Herzig ◽  
Martin Salt ◽  
Werner Klaus ◽  
Christophe Weiteneder ◽  
Guido Niederer ◽  
...  
Keyword(s):  
Photonic Crystals ◽  
Periodic Structures ◽  
Two Dimensional ◽  
One Dimensional ◽  
Resonant Filters

Investigations on the band-gap characteristics of one-dimensional flexural periodic structures with varying geometries

2021 ◽  
pp. 107754632110368
Author(s):  
Sachchidanand Das ◽  
Murtaza Bohra ◽  
Sabareesh Geetha Rajasekharan ◽  
Yendluri Venkata Daseswara Rao
Keyword(s):  
Band Gap ◽  
Frequency Band ◽  
Periodic Structures ◽  
Band Gaps ◽  
One Dimensional ◽  
Vibration Attenuation ◽  
Gap Characteristics ◽  
Novel Concept ◽  
Selection Of ◽  
Shape And Size

Periodic structures have been studied extensively for their wave-filtering capabilities as they exhibit frequency band-gaps. The band-gap characteristics of flexural periodic structures, consisting of periodic cavities, depend on the geometry (shape and size) of cavities. The present work brings out experimental and numerical investigation of the effect of geometry of periodicity on the vibration characteristics of one-dimensional periodic structures. A procedure for prediction of the experimentally observed frequency band-gaps, with the help of eigenfrequency analysis, has been presented. Further, a novel concept of ‘real’ and ‘pseudo’ band-gaps has been theorized. Based on the experimental and numerical results, the best configuration of a periodic structure for maximum vibration attenuation has been arrived at. The work can find application in the design of frames and channels, made of periodic structures, where periodicity can be introduced to reduce vibration transmission in desired frequency bands. It can also reduce the requirement of extensive prototype trials for the selection of suitable periodic geometry.

scholarly journals Edge Defect-Free Anisotropic Two-Dimensional Sheets with Nearly Direct Band Gaps from a True One-Dimensional Van der Waals Nb2Se9 Material

ACS Omega ◽  
2020 ◽  
Vol 5 (19) ◽  
pp. 10800-10807
Author(s):  
Weon-Gyu Lee ◽  
You Kyoung Chung ◽  
Junho Lee ◽  
Bum Jun Kim ◽  
Sudong Chae ◽  
...  
Keyword(s):  
Van Der Waals ◽  
Band Gaps ◽  
Two Dimensional ◽  
Edge Defect ◽  
One Dimensional ◽  
Direct Band

Investigation of the Impact of Sintering on SOFC Charge Transfer

2011 ◽  
Author(s):  
George J. Nelson ◽  
Brice N. Cassenti ◽  
Aldo A. Peracchio ◽  
Wilson K. S. Chiu
Keyword(s):  
Charge Transfer ◽  
Cross Section ◽  
Performance Metrics ◽  
Periodic Structures ◽  
Variable Cross Section ◽  
Variable Cross ◽  
Two Dimensional ◽  
One Dimensional ◽  
Simplified Approach ◽  
The Impact

Solid oxide fuel cell electrodes are porous composites commonly produced by the sintering of powder compacts. Particle contact geometry within the electrode microstructure has been noted to impact electrode performance, particularly with respect to charge transfer. An analytical modeling concept has been applied to charge transport within the SOFC electrode microstructure using an approach similar to thermal fin analysis. This approach has the ability to account for variable cross-section solid geometry and replicates experimentally observed behavior related to SOFC electrode sintering quality. Microstructural geometries simulated by periodic structures composed of iterated base units with variable cross-section are investigated using two approaches: an axisymmetric one-dimensional analytical solution and an axisymmetric two-dimensional finite element solution. Results are cast in terms of dimensionless parameters and performance metrics that have been developed to assess the quality of SOFC electrode microstructures. Comparison of the one-dimensional and two-dimensional results demonstrates the predictive capabilities of the simplified approach.

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