Nonlinear Vibration Analysis of Multidirectional Porous Functionally Graded Panel Under Thermal Environment
Prashik Malhari Ramteke, Subrata Kumar Panda, Nitin Sharma
Abstract
Nonlinear thermal frequency characteristics of multidirectional doubly curved, functionally graded (FG) panels are examined numerically in the current paper using the finite element method. The material properties of the FG panel are computed using individual temperature-dependent properties of the FG constituents and by using Voigt's micromechanical model in conjunction with different types of material distribution patterns. Also, two types of porosity distributions through the panel thickness are considered in the present work. Higher-order shear deformation theory kinematics and Green–Lagrange nonlinearity are used to create a mathematical model. The graded panel's governing equation is obtained and solved using Hamilton's principle and the direct iterative method. The stability and correctness of the proposed model have been checked via a convergence and validation study. Several numerical examples are solved and discussed in the paper to show the efficacy of the proposed model.