Temperature-dependent 2-dimensional porous FG plates free vibration analysis using finite element approach

Abstract

This work aims to address the free vibration analysis of two-dimensional porous 2-D FG plates with temperature-dependent properties that are subjected to thermomechanical loading. The revised element finite element model has seven degrees of freedom and has been developed based on higher-order shear deformation theory. The material constitutions in two directions along the length and thickness are varied according to the revised index law of power. The current proposed numerical approach has been evaluated with existing literature results to find good amiability between them. With all side-supported boundary conditions, the effect of thermomechanical loads and porosity allocation on free vibration analysis of temperature-dependent material FG plates is explored. Also, the consequence of consistent and erratic porous portions of free vibration characteristics on 2D FG plates is studied. 2D properties are disbanded, which affects the natural frequency of the FG plate. In this case, the rise in environmental temperature and index values reduces the frequencies of the porous FG plates. Changeable porous distribution on FG plates obtained exemplary frequency characteristics compared with the consistent porous distribution.

Keywords

• fg material plates
• porosity
• thermal field
• finite element approach
• free vibration