Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
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Finite Element Modeling for the Analysis of In- and Out-of-plane Bulk Elastic Wave Propagation in Piezoelectric Band Gap Structures

압전 밴드 갭 구조물의 면내·외 방향 체적 탄성파 전파 특성 해석을 위한 유한요소 모델링

  • Kim, Jae-Eun (Faculty of Mechanical and Automotive Engineering, Catholic Univ. of Daegu) ;
  • Kim, Yoon-Young (School of Mechanical and Aerospace Engineering, Seoul Nat'l Univ.)
  • 김재은 (대구가톨릭대학교 기계자동차공학부) ;
  • 김윤영 (서울대학교 기계항공공학부)
  • Received : 2011.05.11
  • Accepted : 2011.06.08
  • Published : 2011.08.01
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Abstract

This investigation presents a finite element method to obtain the transmission properties of bulk elastic waves in piezoelectric band gap structures(phonon crystals) for varying frequencies and modes. To this end, periodic boundary conditions are imposed on a three-dimensional model while both in-plane and out-of-plane modes are included. In particular, the mode decoupling characteristics between in-plane and out-of-plane modes are identified for each electric poling direction and the results are incorporated in the finite element modeling. Through numerical simulations, the proposed modeling method was found to be a useful, effective one for analyzing the wave characteristics of various types of piezoelectric phononic band gap structures.

본 연구에서는 압전 밴드 갭 구조물(포논 결정) 에 대한 체적 탄성파의 전파 특성을 주파수 및 모드 별로 파악하기 위한 유한 요소법의 적용 방안을 제안하였다. 이를 위해 체적 탄성 진행파의 면내 모드 뿐만 아니라 면외 모드를 포함하도록 3 차원 주기 경계 조건을 고려하였다. 특히, 체적 탄성파 모드 간의 비연성 특성을 전기 분극 방향에 따라 유도한 다음, 그 결과를 유한 요소 모델링에 반영하였다. 제안된 방법은 실제 시뮬레이션을 통해 다양한 형태의 압전 밴드 갭 구조물의 파동 특성 분석에 적용될 수 있는 일반적이고 효율적인 방법임을 확인하였다.

Keywords

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