Details
| Original language | English |
|---|---|
| Pages (from-to) | 162-182 |
| Number of pages | 21 |
| Journal | Engineering Analysis with Boundary Elements |
| Volume | 119 |
| Early online date | 24 Jul 2020 |
| Publication status | Published - Oct 2020 |
Abstract
In this paper, a localized meshless collocation method, the generalized finite difference method (GFDM), is first applied to calculate the bandgaps of anti-plane transverse elastic waves in 2D solid phononic crystals with square and triangular lattice. The corresponding theoretical consistency analysis of the GFDM is given. The universal algorithm for the uniform/scattered node generation in the GFDM is presented. In comparison with the traditional plane wave expansion (PWE) method and Pressure Acoustics Module in COMSOL software, the proposed GFDM can provide the similar accurate results with less computational times for calculating the band structures of the simple/complicated shape scatterers in the square/triangular lattice. Three influence factors (Filling fractions (Ff), rotation angles (Ra) and arm widths (Aw) in the unit-cell) of the bandgap properties in 2D phononic crystals are numerically discussed.
Keywords
- 2D solid phononic crystal, Anti-plane elastic wave, Generalized finite difference method, Meshless collocation method, Moving least square method, Taylor series expansion
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Engineering(all)
- General Engineering
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Engineering Analysis with Boundary Elements, Vol. 119, 10.2020, p. 162-182.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A localized meshless collocation method for bandgap calculation of anti-plane waves in 2D solid phononic crystals
AU - Fu, Zhuo Jia
AU - Li, Ai Lun
AU - Zhang, Chuanzeng
AU - Fan, Chia Ming
AU - Zhuang, Xiao Ying
N1 - Funding Information: The authors thank the anonymous reviewers of this article for their very helpful comments and suggestions to significantly improve the academic quality of this article. The work described in this paper was supported by the National Science Fund of China (Grant No. 11772119 ), the Foundation for Open Project of State Key Laboratory of Mechanics and Control of Mechanical Structures ( Nanjing University Of Aeronautics And Astronautics ) (Grant No. MCMS-E-0519G01 ), the Foundation for Open Project of Key Laboratory of Coastal Disaster and Defence of Ministry of Education (Grant No. 201907 ), Alexander von Humboldt Research Fellowship (ID: 1195938 ) and the Six Talent Peaks Project in Jiangsu Province of China (Grant No. 2019-KTHY-009 ) .
PY - 2020/10
Y1 - 2020/10
N2 - In this paper, a localized meshless collocation method, the generalized finite difference method (GFDM), is first applied to calculate the bandgaps of anti-plane transverse elastic waves in 2D solid phononic crystals with square and triangular lattice. The corresponding theoretical consistency analysis of the GFDM is given. The universal algorithm for the uniform/scattered node generation in the GFDM is presented. In comparison with the traditional plane wave expansion (PWE) method and Pressure Acoustics Module in COMSOL software, the proposed GFDM can provide the similar accurate results with less computational times for calculating the band structures of the simple/complicated shape scatterers in the square/triangular lattice. Three influence factors (Filling fractions (Ff), rotation angles (Ra) and arm widths (Aw) in the unit-cell) of the bandgap properties in 2D phononic crystals are numerically discussed.
AB - In this paper, a localized meshless collocation method, the generalized finite difference method (GFDM), is first applied to calculate the bandgaps of anti-plane transverse elastic waves in 2D solid phononic crystals with square and triangular lattice. The corresponding theoretical consistency analysis of the GFDM is given. The universal algorithm for the uniform/scattered node generation in the GFDM is presented. In comparison with the traditional plane wave expansion (PWE) method and Pressure Acoustics Module in COMSOL software, the proposed GFDM can provide the similar accurate results with less computational times for calculating the band structures of the simple/complicated shape scatterers in the square/triangular lattice. Three influence factors (Filling fractions (Ff), rotation angles (Ra) and arm widths (Aw) in the unit-cell) of the bandgap properties in 2D phononic crystals are numerically discussed.
KW - 2D solid phononic crystal
KW - Anti-plane elastic wave
KW - Generalized finite difference method
KW - Meshless collocation method
KW - Moving least square method
KW - Taylor series expansion
UR - http://www.scopus.com/inward/record.url?scp=85088369120&partnerID=8YFLogxK
U2 - 10.1016/j.enganabound.2020.07.014
DO - 10.1016/j.enganabound.2020.07.014
M3 - Article
AN - SCOPUS:85088369120
VL - 119
SP - 162
EP - 182
JO - Engineering Analysis with Boundary Elements
JF - Engineering Analysis with Boundary Elements
SN - 0955-7997
ER -