Differential-geometric structures in the theory of two-dimensional integrable equations

1992 ◽  
Vol 62 (5) ◽  
pp. 2987-2991
Author(s):  
V. G. Mikhalev
Keyword(s):  
Two Dimensional ◽  
Geometric Structures ◽  
Integrable Equations

Acoustic Waves in Two-Dimensional Phononic Crystals With Reticular Geometric Structures

2011 ◽  
Vol 133 (3) ◽  
Author(s):  
Zi-Gui Huang ◽  
Zheng-Yu Chen
Keyword(s):  
Band Gap ◽  
Acoustic Waves ◽  
Phononic Crystals ◽  
Band Gaps ◽  
Sound Insulation ◽  
Two Dimensional ◽  
Elastic Band ◽  
Geometric Structures ◽  
2D And 3D ◽  
Elastic Band Gaps

Previous studies on photonic crystals raise the exciting topic of phononic crystals. This paper presents the results of tunable band gaps in the acoustic waves of two-dimensional phononic crystals with reticular geometric structures using the 2D and 3D finite element methods. This paper calculates and discusses the band gap variations of the bulk modes due to different sizes of reticular geometric structures. Results show that adjusting the orientation of the reticular geometric structures can increase or decrease the total elastic band gaps for mixed polarization modes. The band gap phenomena of elastic or acoustic waves can potentially be utilized to achieve vibration-free, high-precision mechanical systems, and sound insulation.

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