Buckling and reliability analysis of CNT-reinforced-beams based on Hasofer-Lind and Rackwitz-Fiessler methods

Abstract

In this paper, the nonlinear conjugate map based on the conjugate Rackwitz-Fiessler and Hasofer-Lind (CHL-RF) method is used to evaluate the reliability using first order reliability method of the embedded nanocomposite beam, which is made from polymer reinforced with carbon nanotubs (CNTs). The structure is simulated with Timoshenko beam model. The Mori-Tanaka method is applied for obtaining the effective properties of nanocomposite beam. The surrounding elastic medium is considered by spring and shear constants. Utilising energy method and Hamilton's principal, the governing equations are obtained. Using an analytical method, the buckling performance function of structure is obtained. The influences of the basic random variables including the length to thickness ratio of beam (L/h), spring constant and shear constant of foundation with respect to the volume fraction of CNTs are investigated on the reliability index of the nanocomposite beam subjected to axial force of 20 GPa. The results indicated that the failure probabilities of the studied the nanocomposite beam are the sensitive to the length to thickness of beam (L/h) and spring constant of foundation variables.