Effect of different geometrical non-uniformities on nonlinear vibration of porous functionally graded skew plates: A finite element study

Vibration and Static Analysis of Functionally Graded Porous Plates

This research deals with free vibration and static bending of a simply supported functionally graded (FG) plate with the porosity effect. Material properties of the plate which are related to its change are position-dependent. Governing equations of the FG plate are obtained by using the Hamilton’s principle within first-order shear deformation plate theory. In solving the problem, the Navier s...

Nonlinear Vibration Analysis of Piezoelectric Functionally Graded Porous Timoshenko Beams

In this paper, nonlinear vibration analysis of functionally graded piezoelectric (FGP) beam with porosities material is investigated based on the Timoshenko beam theory. Material properties of FG porous beam are described according to the rule of mixture which modified to approximate material properties with porosity phases. The Ritz method is used to obtain the governing equation which is then...

Finite Element Analysis of Functionally Graded Skew Plates in Thermal Environment based on the New Third-order Shear Deformation Theory

Functionally graded materials are commonly used in thermal environment to change the properties of constituent materials. The new numerical procedure of functionally graded skew plates in thermal environment is presented in this study based on the C0-form of the novel third-order shear deformation theory. Without the shear correction factor, this theory is also taking the desirable properties a...

Bending, Buckling and Vibration of a Functionally Graded Porous Beam Using Finite Elements

This study presents the effect of porosity on mechanical behaviors of a power distribution functionally graded beam. The Euler-Bernoulli beam is assumed to describe the kinematic relations and constitutive equations. Because of technical problems, particle size shapes and micro-voids are created during the fabrication which should be taken into consideration. Two porosity models are proposed. T...

Piezoelectric Actuators for Functionally Graded Plates- Nonlinear Vibration Analysis