Nonlinear dynamic buckling and vibration of thermally post-buckled temperature-dependent FG porous nanobeams based on the nonlocal theory

Abstract In this paper, nonlinear dynamic snap-through buckling and vibration behavior of the thermally post-buckled functionally graded (FG) porous nanobeams subjected to static sudden mechanical loads are investigated utilizing nonlocal elasticity theory. The physical properties nanobeam considered be functions temperature based on Touloukian model. addition, describe FG materials, two different patterns porosity distribution adopted using trigonometric through thickness nanobeam. equations motion in conjunction with von-Kármán assumption established framework Hamilton’s principle. By employing Chebyshev-Ritz procedure, discretized for three types edge supports. Following that, cylindrical arc-length technique is employed assess vibrational responses during buckling. To evaluate under a load, Newmark time integration scheme together Newton-Raphson iterative method utilized. Next, by means Budiansky-Roth criterion phase-plane approach, identified. After validating developed mathematical model, comprehensive investigation carried out determine role various geometrical parameters characteristics nanobeams.