Analyse dynamique des structures en utilisant des différentes formes du champ de déplacement ; application à la vibration libre d’un tablier de pont

Abstract

This work focuses on the analysis of the bending and free vibration of simply supported thick bridge deck using a new exponential shear deformation theory. Contrary to the existing higher order shear deformation theories (HSDT) and the first shear deformation theory (FSDT), the proposed model uses a new displacement field which incorporates undetermined integral terms and involves only two variables. The equations of motion of the plates are determined by the principle of virtual work. The analytical solutions of simply supported isotropic plates are obtained by employing Navier method and then fundamental frequencies are obtained by solving a problem with eigenvalues. The results of displacements, stresses and frequencies are compared with those available in the literature to show the efficiency of the proposed theory. The results demonstrate that the present theory with only two unknowns is not only accurate and efficient, but also simple for solving the flexural and free vibration responses of thick bridge deck and can achieve the same accuracy of the existing higher order shear deformation theories HSDTs which have more number of variables.