Transverse vibration bandgaps in phononic-crystal Euler beams on a Winkler foundation studied by a modified transfer matrix method

2013 ◽  
Vol 250 (7) ◽  
pp. 1439-1444 ◽  
Author(s):  
Yan Zhang ◽  
Lin Han ◽  
Lin-hua Jiang
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Transverse Vibration ◽  
Matrix Method ◽  
Phononic Crystal ◽  
Winkler Foundation

A method for determining the minimum period number in finite locally resonant phononic crystal beams

2020 ◽  
Vol 26 (9-10) ◽  
pp. 801-813
Author(s):  
Panxue Liu ◽  
Shuguang Zuo ◽  
Xudong Wu ◽  
Minghai Zhang
Keyword(s):  
Band Gap ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Structural Parameters ◽  
Phononic Crystal ◽  
Minimum Period ◽  
Comprehensive Index ◽  
Vibration Attenuation ◽  
Vibration Transmissibility

To achieve the target band-gap in finite locally resonant phononic crystal beams, a method for determining the minimum period number is proposed. The vibration transmissibility method is extended to deal with the finite locally resonant phononic crystal beam. Comparing the vibration attenuation region obtained from the transmissibility method with the band-gap from the conventional transfer matrix method, the minimum period number can be calculated. Based on two forming patterns of locally resonant phononic crystal beams, the effects of the lattice constant and structural parameters of resonators on the band-gap as well as the influence of the period number on the vibration transmission characteristic are investigated. The minimum period number method can improve the applicability of the transmissibility method in the design of band-gaps and overcome the drawback that the transfer matrix method lacks the actual vibration attenuation. Finally, a comprehensive index is introduced to evaluate the effect of vibration reduction.

One-Dimensional Phononic Crystal Dynamic Analysis by Spectral Transfer Matrix Method

2019 ◽  
Author(s):  
Adriano Goto ◽  
Edilson Dantas Nóbrega ◽  
Vilson Souza Pereira ◽  
Dalmo Inácio Galdez Costa ◽  
Jose Maria Campos dos Santos
Keyword(s):  
Dynamic Analysis ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Phononic Crystal ◽  
One Dimensional

The transfer matrix method for lattice proteins—an application with cooperative interactions

Polymer ◽  
2004 ◽  
Vol 45 (2) ◽  
pp. 707-716 ◽  
Author(s):  
Andrzej Kloczkowski ◽  
Taner Z. Sen ◽  
Robert L. Jernigan
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Cooperative Interactions ◽  
Lattice Proteins
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