Showing papers by "M. Ganapathi published in 2010"
01 Jan 2010
TL;DR: In this article, the nonlinear stability properties of functionally graded material plates subjected to aero-thermo-mechanical loads are studied using a finite element method with a eight-noded Co shear flexible quadrilateral plate element.
Abstract: The nonlinear stability behaviors of functionally graded material plates subjected to aero-thermo-mechanical loads are studied. The material properties are graded in the thickness direction according to power-law distribution. A finite element method is employed with a eight-noded Co shear flexible quadrilateral plate element. The influences of material gradient index, thickness of plate, boundary condition, and aspect ratio on the nonlinear characteristics of functionally graded plates are investigated.
1 citations
01 Jan 2010
TL;DR: In this article, the authors investigated large amplitude flexural vibration characteristics of functionally graded material plates under aerodynamic load using the finite element approach and developed a formulation based on the first-order shear deformation theory considering the physical / exact neutral surface position.
Abstract: Large amplitude flexural vibration characteristics of functionally graded material plates under aerodynamic load are investigated here using the finite element approach. Material properties of the plate are assumed to be graded in the thickness direction according to a simple power-law distribution and the effective material properties are evaluated based on the rule of mixture. The formulation is developed based on the first-order shear deformation theory considering the physical / exact neutral surface position. The shear correction factors are evaluated from the energy equivalence principle. The geometric nonlinearity, based on von Karman's assumptions is introduced and the first-order high Mach number approximation to linear potential flow theory is employed for evaluating the aerodynamic pressure. The harmonic balance method is applied to study the nonlinear free flexural vibration frequencies of FGM plates and flexural vibration amplitude of FGM plates under supersonic air speeds. Further, the nonlinear equation of motion is solved using Newmark's time integration technique to understand the flexural vibration behavior (limit cycle oscillations or chaotic) of FGM plates under aerodynamic load.