Designing a phononic crystal with a defect for target frequency matching using an analytical approach. Issue 17 (5th July 2022)

• Record Type: Journal Article
• Authors: Jo, Soo-Ho; Youn, Byeng D.
• Is Part Of: Mechanics of advanced materials and structures. Volume 29:Issue 17(2022)
• Page Start: 2454
• Page End: 2467
• Publication Date: 2022-07-05
• Subjects: Phononic crystal -- phononic band gap -- defect band -- energy localization -- target frequency matching -- transfer matrix method -- S-parameter method -- perturbation theory; Composite materials -- Mechanical properties -- Periodicals; Composite construction -- Periodicals; 620.118
• DOI: 10.1080/15376494.2021.1953648
• Languages: English
• ISSNs: 1537-6494

Abstract

Abstract: This paper proposes a one-dimensional, defect-introduced phononic crystal design for target frequency matching. A quarter-wave stack is used as a unit cell. The supercell-technique-based transfer matrix method enables the defect's length to be explicitly derived; this generates a defect band at the target frequency in band-structure analysis. For the verification through time-harmonic analysis, the perturbation-theory-incorporated S-parameter method is used. The results show that the proposed design enables the realization of defect-mode-induced energy localization at the desired frequency, regardless of the harmonic number, supercell size, and defect location. The proposed design is validated by numerical examples through the finite element method.