Can I read On the postbuckling and free vibrations of FG Timoshenko beams on EtoBox?

On the postbuckling and free vibrations of FG Timoshenko beams by G.H. Rahimi; M.S. Gazor; M. Hemmatnezhad; H. Toorani is a Engineering article available to read on EtoBox.

What is On the postbuckling and free vibrations of FG Timoshenko beams about?

The postbuckling behavior of functionally graded beams is investigated by means of an exact solution method. The Von-Karman type nonlinear strain-displacement relationships are employed. The effects of the transverse shear deformation and rotary inertia are also included based upon the Timoshenko beam theory. After writing the kinetic and potential energy functionals, the governing equations of motion including the axial, transverse deflections and also the cross sectional rotation are derived using the Hamilton's principle. The material properties are assumed to be graded in the thickness direction according to the power-law distribution. Neglecting the inplane inertia, the three equations of motion are reduced to two nonlinear partial-integral-differential equations in terms of the transverse mid-plane deflection and the cross sectional rotation. FG beams are considered to have fixed-fixed, fixed-hinged, and hinged-hinged end conditions. A closed-form solution is achieved for the postbuckling deformation as a function of the exerted axial load which is beyond the critical buckling load. In order to study the vibrations taking place in the vicinity of a buckled equilibrium positio

Who reads On the postbuckling and free vibrations of FG Timoshenko beams?

Author

G.H. Rahimi; M.S. Gazor; M. Hemmatnezhad; H. Toorani

Published

2013

Language

EN

Field

Engineering (Physical Sciences)