Abstract  In this paper , the nonlinear the nonlinear free and forced axisymmetric vibration of a thin circular functionally graded plate with rigid core is formulated in terms of von-Karman’s dynamic equation , and a semi-analytical approach is developed.Functionally graded material (FGM) properties vary through the thickness of the plate.FGM s are spatial composites within which material prop...

In this paper, axisymmetric free vibration analysis of a circular Nano-plate having variable thickness was studied. The variation in thickness of plate was considered as a linearly in radial direction. Nonlocal elasticity theory was utilized to take into account size-dependent effects. Ritz functions was utilized to obtain the frequency equations for simply supported and clamped boundary. To ve...

The purpose of this paper is to study the axisymmetric vibrations circular three-layered sandwich plates with a frequency-dependent fractional viscoelastic core and elastic face sheets. First, equations motion related boundary conditions are derived using Hamilton’s principle for free vibrations. Then, governing obtained various solved parametric studies carried out examine vibration behavior c...

in this paper, an analytical solution for computing the linear plastic stresses and critical temperature and pressure in a fgm hollow cylinder under the internal pressure and temperature is developed. it has been assumed that the modulus of elasticity and thermal coefficient of expansion were varying through thickness of the fgm material according to a power law relationship. the poisson's...