KSCE Journal of Civil and Environmental Engineering Research (대한토목학회논문집)

Korean Society of Civil Engeneers (대한토목학회)
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A Technique for the Extreme nodes of Boundary Element Method with Clamped Boundary Condition

변위구속조건을 받는 경계요소법의 최외측 절점 처리 기법

  • 김문겸 (연세대학교 사회환경시스템공학과) ;
  • 윤익중 (연세대학교 사회환경시스템공학과)
  • Received : 2009.12.08
  • Accepted : 2010.02.19
  • Published : 2010.04.30
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Abstract

In this study, most of famous algorithms for the corner problem are listed. By comparing these with implemented codes and theoretical dissections, new algorithms are developed. These algorithms are combined by the existing auxiliary equations. All relating algorithms are numerically tested with 3 problems. Two problems have well-known analytical solutions and the result of another example is compared with the one of the published paper. The conducted research reveals the characteristics of existing algorithms and demonstrates newly developed algorithms can produce a reasonable solution by reflecting various type of boundary conditions.

본 논문에서는 경계요소법의 모서리 문제(corner problem)의 해결책으로 제시된 다양한 알고리즘을 비교하였다. 비교를 위해 각각 기법을 반영한 프로그램을 작성하고, 이론적 바탕을 토대로 하여 기존의 방법 중 상호간에 새롭게 조합될 수 있는 추가조건식(auxiliary equation)을 찾아 새로운 알고리즘을 구성하였다. 새롭게 구성된 알고리즘과 기존 알고리즘에 대하여 3가지 종류의 수치 실험을 수행하였다. 수치해석모형은 정해가 알려진 2개의 문제와 기존 연구에서 제시된 한 개의 예제에 대하여 수행하였다. 이상을 바탕으로 기존 알고리즘의 특성을 기술하고 새롭게 제시된 알고리즘이 다양한 형태의 표면력을 반영할 수 있음을 보였다.

Keywords

References

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