A nonlinear finite element of plane beam oriented to Koiter's perturbation analysis of frames is presented. The locking problem arising in the calculation of the post-critical curvature is thoroughly examined and solved at the continuum level, by means of a suitable definition of the kinematic settings. The proposed strain measures are Lagrangian and rationally founded (geometrically exact). The exact solutions of the critical problem have been chosen as shape functions of the finite element, so obtaining an immediately convergent finite element in the calculation of the critical load and of the post-critical slope.
Salerno, G., Lanzo, A.d. (1997). A nonlinear beam finite element for the post-buckling analysis of plane frames by Koiter's perturbation approach. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 146(3-4), 325-349 [10.1016/S0045-7825(96)01240-6].
A nonlinear beam finite element for the post-buckling analysis of plane frames by Koiter's perturbation approach
SALERNO, Ginevra
Membro del Collaboration Group
;
1997-01-01
Abstract
A nonlinear finite element of plane beam oriented to Koiter's perturbation analysis of frames is presented. The locking problem arising in the calculation of the post-critical curvature is thoroughly examined and solved at the continuum level, by means of a suitable definition of the kinematic settings. The proposed strain measures are Lagrangian and rationally founded (geometrically exact). The exact solutions of the critical problem have been chosen as shape functions of the finite element, so obtaining an immediately convergent finite element in the calculation of the critical load and of the post-critical slope.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.