Syed Muhammad Ibrahim, Erasmo Carrera, Marco Petrolo, Enrico Zappino
Specialty Units for Safety and Preservation of Structures, King Saud University, Riyadh, Saudi Arabia; Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
Abstract The buckling of thin-walled structures is presented using the 1D finite element based refined beam theory formulation that permits us to obtain N-order expansions for the three displacement fields over the section domain. These higher-order models are obtained in the framework of the Carrera unified formulation (CUF). CUF is a hierarchical formulation in which the refined models are obtained with no need for ad hoc formulations. Beam theories are obtained on the basis of Taylor-type and Lagrange polynomial expansions. Assessments of these theories have been carried out by their applications to studies related to the buckling of various beam structures, like the beams with square cross section, I-section, thin rectangular cross section, and annular beams. The results obtained match very well with those from commercial finite element software with a significantly less computational cost. Further, various types of modes like the bending modes, axial modes, torsional modes, and circumferential shell-type modes are observed.
Syed Muhammad Ibrahim, Erasmo Carrera, Marco Petrolo, Enrico Zappino. Buckling of thin-walled beams by a refined theory. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2012, 13(10): 747-759.
