Abstract
We investigate theoretically and experimentally the forced response of flexural waves propagating in a 1D phononic crystal (PC) Euler-Bernoulli beam, composed by steel and polyethylene, and its band structure. The finite element, spectral element, wave finite element, wave spectral element, conventional and improved plane wave expansion methods are applied. We demonstrate that the vibration attenuation of the unit cell can be improved choosing correctly the polyethylene and steel quantities and we suggest the best percentages of these materials, considering different unit cell lengths. An experiment with a 1D PC beam is proposed and the numerical results can localize the band gap position and width close to the experimental results. A small Bragg-type band gap with low attenuation is observed between 405 Hz - 720 Hz. The 1D PC beam with unit cells of steel and polyethylene presents potential application for vibration control.
Highlights
Artificial periodic composites known as phononic crystals (PCs), consisting of a periodic array of scatterers embedded in a host medium, have been quite studied[1,2,3,4,5,6,7,8,9,10,11,12,13,14]
The main purpose of this study is to investigate the Bragg-type band gap formation, band structure, known as dispersion relation, and attenuation constant of a 1D PC beam using the FE, SE, wave finite element (WFE), wave spectral element (WSE), conventional plane wave expansion (CPWE) and improved plane wave expansion (IPWE) methods
We obtain the forced response and the complex elastic band structure of a 1D PC beam proposed by models 1 and 2
Summary
Artificial periodic composites known as phononic crystals (PCs), consisting of a periodic array of scatterers embedded in a host medium, have been quite studied[1,2,3,4,5,6,7,8,9,10,11,12,13,14]. They have received renewed attention because they exhibit band gaps where there are only mechanical (elastic or acoustic) evanescent waves. PCs have many applications, such as vibration isolation technology[16,17,18,19,20], acoustic barriers/filters[21,22,23], noise suppression devices[24,25], surface acoustic devices[26], architectural design[27], sound shields[28], acoustic diodes[29] and elastic/acoustic metamaterials[19,20,23,25,30,31,32] (EM/AM), known as locally resonant phononic crystals (LRPC)
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
