Exact Elastic Element Stiffness Matrix of Thin-Walled Curved Beam

박벽 곡선보의 엄밀한 탄성요소강도행렬

  • 김남일 (성균관대학교 토목환경공학과) ;
  • 윤희택 (한국철도기술연구원) ;
  • 이병주 (한국도로공사 기술연구소) ;
  • 김문영 (성균관대학교 토목환경공학과)
  • Published : 2002.04.01

Abstract

Derivation procedures of exact elastic element stiffness matrix of thin-walled curved beams are rigorously presented for the static analysis. An exact elastic element stiffness matrix is established from governing equations for a uniform curved beam element with nonsymmetric thin-walled cross section. First this numerical technique is accomplished via a generalized linear eigenvalue problem by introducing 14 displacement parameters and a system of linear algebraic equations with complex matrices. Thus, the displacement functions of displacement parameters are exactly derived and finally exact stiffness matrices are determined using member force-displacement relationships. The displacement and normal stress of the section are evaluated and compared with thin-walled straight and curved beam element or results of the analysis using shell elements for the thin-walled curved beam structure in order to demonstrate the validity of this study.

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