Improved Numerical Method Evaluating Exact Static Element Stiffness Matrices of Beam on Elastic Foundations

탄성지반위의 보의 엄밀한 강성계산을 위한 개선된 해석방법

  • 김남일 (성균관대학교 건설환경연구소) ;
  • 이준석 (성균관대학교 건설환경시스템공학과) ;
  • 김문영 (성균관대학교 건설환경시스템공학과)
  • Published : 2006.04.01

Abstract

An improved numerical method to obtain the exact element stiffness matrix is newly proposed to perform the spatially coupled elastic and stability analyses of non-symmetric thin-walled beam-columns with two-types of elastic foundation. This method overcomes drawbacks of the previous method to evaluate the exact stiffness matrix for the spatially coupled stability analysis of thin-walled beam-column. This numerical technique is firstly accomplished via a generalized eigenproblem associated with 14 displacement parameters by transforming equilibrium equations to a set of first order simultaneous ordinary differential equations. Then exact displacement functions are constructed by combining eigensolutions and polynomial solutions corresponding to non-zero and zero eigenvalues, respectively. Consequently an exact stiffness matrix is evaluated by applying the member force-deformation relationships to these displacement functions.