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Development of Meshless Method Using Least-Squares Method with Geometric Conservation Law for Structural Dynamic Analysis

기하학적 보존을 만족하는 최소제곱법을 활용한 무격자 구조해석 기법 개발

  • Sang Woo Lee (Aerospace Engineering, Seoul National University) ;
  • Jin Young Huh (Agency for Defense Development) ;
  • Kyu Hong Kim (Aerospace Engineering, Seoul National University/Institution of Advanced Aerospace Technology)
  • 이상우 (서울대학교 항공우주공학과) ;
  • 허진영 (국방과학연구소) ;
  • 김규홍 (서울대학교 항공우주공학과/항공우주신기술연구소)
  • Received : 2023.01.17
  • Accepted : 2023.02.06
  • Published : 2023.02.28

Abstract

A meshless technique using the geometric conservation least-squares method (GC-LSM) was devised to discretize the governing equation of linear elasticity. Although the finite-element method is widely used for structural analysis, a meshless method was developed because of its advantages in a moving grid system. This work is the preliminary phase for developing a fully meshless-based fluid-structure interaction solver. In this study, Cauchy's momentum equation was discretized in strong form using GC-LSM for the structural domain, and the Newmark beta method was used for time integration. The solver was validated in 1D, 2D, and 3D benchmarking problems. Static and dynamic results were obtained. The results are more accurate than those of analytic solutions.

Keywords

Acknowledgement

본 연구는 국토교통부의 재원으로 국토교통과학기술진흥원 철도기술연구사업(22RTRP-B146018-05)의 지원으로 작성되었습니다

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