A localized meshless collocation method for bandgap calculation of anti-plane waves in 2D solid phononic crystals

被引：21

作者：

Fu, Zhuo-Jia ^{[1
,2
,3
]}

Li, Ai-Lun ^{[1
]}

Zhang, Chuanzeng ^{[4
]}

Fan, Chia-Ming ^{[5
]}

Zhuang, Xiao-Ying ^{[3
]}

机构：

[1] Hohai Univ, Key Lab Coastal Disaster & Def, Minist Educ, Nanjing 210098, Peoples R China

[2] Nanjing Univ Aeronaut & Astronaut, State Key Lab Mech & Control Mech Struct, Nanjing, Peoples R China

[3] Leibniz Univ Hannover, Inst Continuum Mech, D-30167 Hannover, Germany

[4] Univ Siegen, Dept Civil Engn, D-57076 Siegen, Germany

[5] Natl Taiwan Ocean Univ, Dept Harbor & River Engn, Keelung 20224, Taiwan

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2020年 / 119卷

关键词：

Generalized finite difference method; Meshless collocation method; Taylor series expansion; Moving least square method; 2D solid phononic crystal; Anti-plane elastic wave; FINITE-DIFFERENCE METHOD; MULTIPLE-SCATTERING THEORY; RBF-FD TECHNIQUE; PROPAGATION ANALYSIS; GAP CALCULATIONS; ELEMENT-METHOD; EQUATIONS; SIMULATION; SOLVER;

D O I：

10.1016/j.enganabound.2020.07.014

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：162 / 182

页数：21