Definition and Application of Equivalent Load for Stiffness

강성등가하중의 정의와 응용

  • Published : 2006.09.01

Abstract

This paper presents the equivalent nodal load for the element stiffness which represents the influence of the stiffness change such as the addition of elements, the deletion of elements, and/or the partial change of element stiffness. The reanalysis of structure using the equivalent load improves the efficiency very much because the inverse of the structural stiffness matrix, which needs a large amount of computation to calculate, is reused in the reanalysis. In this paper, the concept of the equivalent load for the element stiffness is described and some numerical examples are provided to verify it.

References

  1. 김치경 (2004), 부분적 강성 변화에 따른 효율적 부분 재해석 알고리즘, 한국전산구조공학회 논문집, 17(4), pp.459-467
  2. 박효선, 서지현 (2004), 부재력 특성을 고려한 설계변수를 사용한 고층건물 변위조절설계법 개발. 한국전산구조공학회 논문집 17(2), pp.215-222
  3. 서지현, 박효선 (2004), 횡하중과 연직하중을 받는 고층건물의 변위설계를 위한 재분배기법 개발. 한국전산구조공학회 논문집 17(1), pp.49-58
  4. 이한주, 김치경, 김호수 (2002), 횡강성 영향행렬을 이용한 고층건물의 횡변위 제어 및 단면 재산정 방안, 한국전산구조공학회 논문집 16(2), pp.271-279
  5. Bathe, K.J. (1996), Finite Element Procedures, Prentice-Hall Inc., New Jersey
  6. Chen, H., Archer, G.C. (2005), New Domain Decomposition Algorithm for Nonlinear Substructures, J. of Computing in Civil Engineering ASCE, 19(2), pp.148-159 https://doi.org/10.1061/(ASCE)0887-3801(2005)19:2(148)
  7. Fafitis, A., Nonlinear Truss Analysis by One Matrix Inversion, J. of Structural Engineering, ASCE. 131(5), pp.701-705
  8. Leon, S.J. (1980), Linear Algebra with Applications, Macmillan Publishing Co., New York