Large Deflection Analysis of Inelastic Plane Frames

A general method for the large deflection analysis of inelastic plane frames is presented. The large deflection analysis is based on the Eulerian formulation in which a member tangent stiffness matrix is constructed with reference to the current deformed configuration. The exact differential equation and the moment‐thrust‐curvature relations of a member subjected to large relative deflection are used for deriving the member tangent stiffness matrix. A member tangent stiffness matrix for W‐sections of elasto‐plastic material is constructed as an example and its application to the large deflection analysis of inelastic frames is demonstrated by several examples. A simple form of the member tangent stiffness matrix is deduced from the above exact formulation by utilizing the assumption of small member relative deflections. It is shown that the simple one can yield excellent results compared to those obtained by the exact formulation. Hence it is reasonable to adopt the assumption of small member relative def...

[1]  R. J. Melosh,et al.  Large Deflections of Structures Subjected to Heating and External Loads , 1960 .

[2]  Saafan A. Saafan.  Nonlinear Behavior of Structural Plane Frames , 1963 .

[3]  Jan Bäcklund,et al.  Large deflection analysis of elasto-plastic beams and frames , 1976 .

[4]  Aslam Kassimali,et al.  Large deformations of framed structures under static and dynamic loads , 1976 .

[5]  C. Oran.  Tangent Stiffness in Plane Frames , 1973 .

[6]  F S Manuel,et al.  LARGE DEFLECTIONS AND STABILITY OF ELASTIC FRAMES , 1968 .

[7]  J. L. Meek,et al.  Geometrically nonlinear analysis of space frames by an incremental iterative technique , 1984 .

[8]  Ronald J. Alvarez,et al.  Inelastic Analysis of Multistory Multibay Frames , 1969 .

[9]  George F. Hauck,et al.  Stability of Elasto-Plastic Wide Flange Columns , 1963 .

[10]  David W. Murray,et al.  Nonlinear Finite Element Analysis of Steel Frames , 1983 .

[11]  Aslam Kassimali.  Large Deformation Analysis of Elasticplastic Frames , 1983 .

[12]  Ross B. Corotis,et al.  Inelastic Tangential Stiffness for 2-D Frames , 1983 .

[13]  F. Nishino,et al.  Inelastic Stability of Unbraced Building Frames , 1974 .

[14]  Czesław Cichoń,et al.  Large displacements in-plane analysis of elastic-plastic frames , 1984 .

[15]  K. Bathe,et al.  Elastic-plastic large deformation static and dynamic analysis , 1976 .

[16]  M. Crisfield.  An arc‐length method including line searches and accelerations , 1983 .

[17]  U. Hindenlang,et al.  Finite element analysis of two- and three-dimensional elasto-plastic frames—the natural approach☆ , 1982 .