Direct Stiffness Analysis of Lateral Buckling

Autor: Jacques Vandooren, Pierre Van Tiggelen
Rok vydání: 1994
Předmět:
Zdroj: Combustion Science and Technology. 100:1-9
ISSN: 1563-521X
0010-2202
DOI: 10.1080/00102209408935443
Popis: A direct stiffness method of analyzing the elastic ftexural-torsional buckling of rigid-jointed plane frames composed of l-section members and subjected to in-plane loads is presented. The in-plane stiffness matrix and the fixed-end resultants are obtained from the member stiffness matrices derived from the in-plane differential equations. These member stiffness matrices are assembled and solved, and their solutions are used to linearize the flexural-torsional buckling equations. The out-of-plane member stiffness matrices are then obtained numerically from the buckling equations by the method of finite integrals. The out-of-plane frame -stiffness matrix is assembled, and the critical loads are obtained when its determinant is zero. A computer program is developed which carries out either a first- or second-order in-plane analysis, and then determines the flexural-torsional buckling loads. The effects of in-plane deformations prior to buckling can be included. Very good agreement is obtained betwe...
Databáze: OpenAIRE