Buckling Analysis of Built up Column with Stay Plates by the Generalized Differential Quadrature Method

GDQM에 의한 띠판을 갖는 조립 칼럼의 좌굴 해석

  • 신영재 (안동대학교 기계공학부) ;
  • 김재호 (경북대학교 기계공학부) ;
  • 정인식 ((주)평화발레오 기술연구소)
  • Published : 2001.12.01

Abstract

In this paper, Generalized Differential Quadrature Method is applied to the buckling analysis of built-up columns without or with stay plates. numerical analysis using GDQM is carried out for various boundary conditions(simply supported conditions, fixed conditions, fixed-simply supported conditions), dimensionless stiffness parameter and dimensionless inertia moment parameter. The accuracy and convergence of solutions are compared with exact solutions of Gjelsvik to validate the results of GDQM. Results obtained by this method are as follows. 91) This method can yield the accurate numerical solutions using few grid points. (2) The buckling load of built-up column increases as the dimensionless stiffness parameter decreases. (3) The effects of boundary conditions on the buckling load are not considerable as the dimensionless stiffness parameter increases. (4) The buckling load of built-up column increases due to the stay plate.

Keywords

References

  1. Zeitzschrift des Architekten und Ingenieur Vereins zu Hannover v.35 Die Knickfestigkeit Gerader Stabe Engesser,F
  2. Zeutralblatt der Bauverwaltung v.11 Die Knickfestigkeit Gerader Stabe Engesser,F
  3. J.of Engineering Mechanics v.116 no.5 Buckling of Built-up Columns with or without Stay-plates Gjelsvik,A
  4. J.of Engineering Mechanics v.121 no.11 Buckling Loads for Built-up Colums with Stay-plates Paul,M
  5. International Journal of Numerical Methods in Fluids v.15 Application of Generalized Differential Quadrature to Slove Two-dimensional Incompresible Navier-Stokes Equations Shu,C;Richards,B.E
  6. Generalized Differential Integrated Quadrature and Application to the Simulation of Incompressible Viscous Flows Including Parallel Computation Shu,C
  7. International Journal of Numerical Methods in Fluids v.21 Generalized Differential-integral Quadrature and Their Application to Solve Boundary Layer Equations Shu,C;Chew,Y.T;Richard,B.E
  8. American Institute of Aeronautics and Astronautics Journal v.32 Buckling and Vibration Analysis of Skew Plates by Differential Quadrature Method Wang,X;Striz,A.G;Bert,C.W
  9. Journal of Sound and Vibration v.181 Application of Differential Quardrature to Vibration Analysis Du,H;Lim,M.K;Lin,R.M
  10. Journal of Sound and Vibration v.173 Analysis of Vibrating Rectangular Plates with Non-uniform Boundary Conditions by Using the Differential Quadrature Method Laura,P.A.A;Gutierrez,R.H
  11. Journal of Computational Physics v.10 Differential Quadrature:A Technuque for the Rapid Solution Nonlinear Partial Differential Equations Bellman,R;Kashef,B.G;Casti,J
  12. J.Struct.Div.ASCE v.97 no.5 Spaced Steel Columns Johnston,B.G