Journal of the Korean Society for Aeronautical & Space Sciences (한국항공우주학회지)

The Korean Society for Aeronautical and Space Sciences (한국항공우주학회)
권호 표지
DOI QR코드

DOI QR Code

Moving Least Squares Interface Welding Method for Coupled Analysis of Independently Modeled Finite Element Substructures

독립적으로 모델링된 유한요소 부분구조물 시스템의 통합 연계해석을 위한 이동최소자승 정계접합법의 개발

  • 안재모 (한국항공우주연구원) ;
  • 송유미 (인하대학교 항공우주공학과) ;
  • 최동환 (인하대학교 항공우주공학과) ;
  • 조진연 (인하대학교 항공우주공학과)
  • Published : 2005.10.01
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, a novel moving least squares interface welding method is proposed to carry out the coupled analysis of whole model composed of independently modeled finite element substructures with nodal mismatching interfaces. To verify the validity, and efficiency of the proposed interface welding method, various numerical examples are worked out including patch tests, convergence tests, and examples of coupled analyses of the structural systems with mismatching substructures. From the numerical tests, it is confirmed that one can efficiently carry out the coupled analysis of whole model composed of mismatching finite element substructures through the proposed method without any remeshing or any additional unknown.

본 논문에서는 독립적으로 모델링되어 절점 불일치 경계면이 존재하는 유한요소 부분구조물들로 구성된 복합 구조시스템의 통합적인 연계해석을 위해 이동최소자승 경계접합법을 제안한다. 제안된 이론을 합성함수 구성 및 근사화 과정을 통해 설명하고, 새로 제안된 경계접합법의 타당성, 수렴성 및 효율성을 고찰하기 위해 각종 수치실험을 수행한다. 패치 테스트, 수렴성 조사를 통해 제안된 이론의 타당성을 보이고, 각종 통합 연계해석 수치예제를 통해 격자 재생성이나 추가적 미지수의 도입이 필요 없는 이동최소자승 경계접합법의 실제적 효율성을 입증한다.

Keywords

References

  1. Aminpour, M.A., Ransom, J.B., and McCleary, S.L., 'A Coupled Analysis Method for Structures with Independently Modelled Finite Element Subdomains', Int. J. Num. Meth. Eng. Vol. 38, pp. 3695-3718, 1995 https://doi.org/10.1002/nme.1620382109
  2. Farhat C., Mandel J., 'The two-level FETI method for static and dynamic plate problems, Part I: An optimal iterative solver for biharmonic systems', Comput. Meth. Appl. Mech. Engrg. Vol 155, pp. 129-151, 1998 https://doi.org/10.1016/S0045-7825(97)00146-1
  3. Park, K. C. and Carlos A. Felippa, 'A variational principle for the formulation of partitioned structural systems', Int. J. Num. Meth. Eng. Vol 47, pp. 395-418, 2000 https://doi.org/10.1002/(SICI)1097-0207(20000110/30)47:1/3<395::AID-NME777>3.0.CO;2-9
  4. Cho, M., Kim, W.B., 'A coupled finite element analysis of independently modeled substructures by penalty frame method,' AIAA paper no. 98-2061, 1998
  5. Bathe, K. J., Finite Element Procedures. International Ed., Prentice-Hall, Englewood Cliffs, NJ, 1996
  6. Aminpour M.A., Pageau S., and Shin Y., 'Improved Interface Modeling Technology', AIAA paper no. 2001-1548, 2001
  7. Lancaster P. and Salkaskas K., 'Surfaces generated by moving least squares methods', Math. Comp. Vol. 37, pp. 141-158, 1981 https://doi.org/10.2307/2007507
  8. Cho, J.Y., Atluri, S. N., 'Analysis of shear flexible beams, using the meshless local Petrov-Galerkin method, based on a locking-free formulation', Engineering Computations, Vol. 18, pp. 215-240, 2001 https://doi.org/10.1108/02644400110365888
  9. Belytschko, T., Krongauz, Y., and Organ, D., 'Meshless methods, an overview and recent developments', Comp. Meth. Appl. Mech. Eng. Vol. 139, pp. 3-47, 1996 https://doi.org/10.1016/S0045-7825(96)01078-X
  10. Chen, T., Raju, I.S., 'Coupling finite element and meshless local Petrov-Galerkin methods for two-dimensional potential problems', AIAA Paper No. 2002-1659, 2002
  11. 조진연, 김도년, 김승조, '유한요소 모델의 절점활성화 기법 : I. 이론', 한국항공우주학회지, 제31권 4호, pp. 26-34, 2003
  12. Atluri, S. N., Cho, J. Y., Kim, H. G., 'Analysis of thin beams, using the meshless local Petrov-Galerkin method, with generalized moving least squares interpolations', Computational Mechanics, Vol. 24, pp. 334-347, 1999 https://doi.org/10.1007/s004660050456
  13. Dolbow, J., Belytschko, T., 'Numerical integration of the Galerkin weak form in meshfree methods', Computational Mechanics, Vol. 23, pp. 219-230, 1999 https://doi.org/10.1007/s004660050403
  14. 김도년, 김승조, 지영범, 조진연, '유한요소 모델의 절점활성화 기법 : II. 계산', 한국항공우주학회지, 제31권 4호 pp. 35-43, 2003