2018
DOI: 10.3390/cryst8010021
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Analysis of Bending Waves in Phononic Crystal Beams with Defects

Abstract: Existing investigations on imperfect phononic crystal beams mainly concern periodic multi-span beams carrying either one or two channel waves with random or deterministic disorder in span-length. This paper studies the two channel bending waves in phononic crystal beams consisting of many phases of materials with defects introduced as one structural segment having different cross-sectional dimensions or material parameters. The method of reverberation-ray matrix (MRRM) based on the Timoshenko beam theory, whic… Show more

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Cited by 19 publications
(6 citation statements)
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“…The most commonly used method is the transfer matrix method. 27 The transfer matrix of supercell is obtained by multiplying the transfer matrices of perfect cells and the defective cell…”
Section: Theoretical Modelmentioning
confidence: 99%
“…The most commonly used method is the transfer matrix method. 27 The transfer matrix of supercell is obtained by multiplying the transfer matrices of perfect cells and the defective cell…”
Section: Theoretical Modelmentioning
confidence: 99%
“…Here, a defect can be artificially introduced by replacing one unit cell with a different structure that disorders the unit-cell periodicity. This defect imposition provokes the creation of one or more flat passbands (called defect bands) within a phononic bandgap [17][18][19]. Surprisingly, a PnC displays wave-energy concentration near the defect in the form of different vibrational modes (called defect-mode shapes) at each defect-band frequency [20][21][22].…”
Section: Introductionmentioning
confidence: 99%
“…The incorporation of a disordering structure (called a defect) in a PnC through the partial disruption of periodicity can generate characteristics within the band gap, namely, the appearance of flat defect bands [ 22 ]. Each defect band exhibits a different energy-localized displacement field of the PnC (called a defect-mode shape) at each defect-band frequency [ 23 , 24 ], and this property ensures high amplification of the elastic-wave energy within the defect [ 25 27 ]. Hence, piezoelectric devices with defects can generate significantly improved electric power.…”
Section: Introductionmentioning
confidence: 99%