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2026 Vol.39, Issue 4 Preview Page
Data-Driven Shape Optimization of Lattice Structures for Low-Frequency Broadband Bandgaps

저주파 광대역 밴드갭 구현을 위한 격자 구조의 데이터 기반 형상 최적 설계

Hyoui Yoon1
,
Jinyi Byun2
,
Sangryun Lee3*
윤 효의1
,
변 진이2
,
이 상륜3*
1Graduate Student, Department of Mechanical and Biomedical Engineering, Ewha Womans University, Seoul, 03760, Korea
2Undergraduate Student, Department of Mechanical and Biomedical Engineering, Ewha Womans University, Seoul, 03760, Korea
3Assistant Professor, Department of Mechanical and Biomedical Engineering, Ewha Womans University, Seoul, 03760, Korea
1이화여자대학교 휴먼기계바이오공학과 석사과정
2이화여자대학교 휴먼기계바이오공학과 학부생
3이화여자대학교 휴먼기계바이오공학과 조교수
*Corresponding Author
31 August 2026. pp. 245-253
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Abstract

Low-frequency vibration control is an important challenge in aerospace, energy, and precision engineering. However, conventional damping devices are limited by frequency-dependent loss characteristics and size constraints. Phononic metamaterials can provide effective vibration attenuation by forming bandgaps that suppress elastic wave propagation; however, designing lattice structures with low-frequency broadband bandgaps requires efficient exploration of a high-dimensional geometric design space. In this paper, a data-driven shape optimization framework combining Gaussian process regression and Bayesian optimization is proposed. The strut geometry is parameterized using symmetric Bézier curves to allow continuous radius variation, and the dispersion relation is evaluated through finite element analysis. Consequently, the optimized structure forms a first complete bandgap from the normalized frequency fn = 0.1767 to 1.1463, corresponding to a relative bandgap of 143.17%, whereas the cylindrical lattice does not exhibit a complete bandgap. Transmission loss analysis further confirms that the predicted bandgap region agrees well with the attenuation range of the finite lattice structure. In terms of structural performance, the optimized structure reduces the normalized maximum von Mises stress by 33.1% compared with the discrete resonant structure. These results demonstrate that Bézier curve-based shape optimization improves the balance between broadband vibration attenuation and structural stability.

Keywords
lattice structures
bayesian optimization
metamaterials

저주파 진동 제어는 항공우주, 에너지, 정밀공학 등 다양한 분야에서 중요한 과제이나, 기존 감쇠 장치는 주파수 의존적 손실 특성과 크기 제약으로 인해 성능에 한계가 있다. 포노닉 메타물질은 탄성파 전파를 억제하는 밴드갭을 형성함으로써 효과적인 진동 차단 성능을 제공할 수 있으나, 광대역 밴드갭 설계를 위해 형상 설계 자유도가 확장될수록 고차원 형상 설계 공간의 효율적인 탐색이 요구된다. 이에 본 연구에서는 가우시안 프로세스 회귀와 베이지안 최적화를 결합한 데이터 기반 형상 최적화 프레임워크를 제안한다. 단순 입방 격자의 빔 형상을 대칭 베지어 곡선으로 매개변수화하여 반지름이 연속적으로 변화하도록 하였으며, 유한요소해석을 통해 분산 관계를 평가하였다. 그 결과, 최적 구조는 143.17%의 상대 밴드갭을 형성하였으며, 이산 공진 구조 대비 정규화 최대 폰 미세스 응력을 33.1% 감소시켰다. 이러한 결과는 베지어 곡선 기반 형상 최적화가 광대역 진동 차단 성능과 구조적 안정성 사이의 균형을 개선할 수 있음을 보여준다.

키워드
격자 구조
베이지안 최적화
메타물질
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Information
  • Publisher :Computational Structural Engineering Institute of Korea
  • Publisher(Ko) :한국전산구조공학회
  • Journal Title :Journal of the Computational Structural Engineering Institute of Korea
  • Journal Title(Ko) :한국전산구조공학회 논문집
  • Volume : 39
  • No :4
  • Pages :245-253
  • Received Date : 2026-05-20
  • Revised Date : 2026-06-04
  • Accepted Date : 2026-06-05
  • DOI :https://doi.org/10.7734/COSEIK.2026.39.4.245
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