An application of isogeometric analysis for active control the solid functionally graded material plates with actuator patches using piezoelectric material

Free Vibration Analysis of Functionally Graded Piezoelectric Material Beam by a Modified Mesh Free Method

A mesh-free method based on moving least squares approximation (MLS)  and weak form of governing equations including two dimensional equations of motion and Maxwell’s equation is used to analyze the free vibration of functionally graded piezoelectric material (FGPM) beams. Material properties in beam are determined using a power law distribution. Essential boundary conditions are imposed by the...

Piezoelectric Actuators for Functionally Graded Plates- Nonlinear Vibration Analysis

An isogeometric approach to topology optimization of multi- material and functionally graded structures

Alireza H. Taheri, Krishnan Suresh* Department of Mechanical Engineering, UW-Madison, Madison, Wisconsin 53706, USA. * Corresponding author, email: [email protected] Abstract A new isogeometric density based approach for the topology optimization of multi-material structures is presented. In this method, the density fields of multiple material phases are represented using the isogeometric NURBS-...

Fractional Order Generalized Thermoelastic Functionally Graded Solid with Variable Material Properties

In this work, a new mathematical model of thermoelasticity theory has been considered in the context of a new consideration of heat conduction with fractional order theory. A functionally graded isotropic unbounded medium is considered subjected to a periodically varying heat source in the context of space-time non-local generalization of three-phase-lag thermoelastic model and Green-Naghdi mod...

Probabilistic Evaluation on the Free Vibration of Functionally Graded Material Plates Using 3D Solution and Meta-Model Methods

This paper presents a probabilistic assessment on the free vibration analysis of functionally graded material plates, including layers with magneto-electro-elastic properties, using the 3D solution and surrogate models. The plate is located on an elastic foundation and the intra-layer slipping effect is also considered in the analysis by employing the generalized intra-layer spring model. Due t...