Multi-objective Optimization of Geometric Dimensions and Material Composition of Functionally Graded Components

2008 ◽  
Author(s):  
Senthil S. Vel ◽  
Andrew J. Goupee ◽  
Glaucio H. Paulino ◽  
Marek-Jerzy Pindera ◽  
Robert H. Dodds ◽  
...  
Keyword(s):  
Functionally Graded ◽  
Material Composition ◽  
Multi Objective Optimization ◽  
Multi Objective ◽  
Functionally Graded Components

Multi-objective optimization of a functionally graded sandwich panel under mechanical loading in the presence of stress constraint

2017 ◽  
Vol 26 (3-4) ◽  
pp. 79-93 ◽  
Author(s):  
Mohammad Ashjari ◽  
Mohammad Reza Khoshravan
Keyword(s):  
Mechanical Loading ◽  
Sandwich Panel ◽  
Functionally Graded ◽  
Solution Technique ◽  
Control Points ◽  
Objective Functions ◽  
Multi Objective Optimization ◽  
Simply Supported ◽  
Volume Fractions ◽  
Multi Objective

AbstractA method was presented for multi-objective optimization of material distribution of simply supported functionally graded (FG) sandwich panel, and sensitivity analyses of optimal designs were also conducted based on design variables and objective functions. The material composition was assumed to vary only in the thickness direction. Piecewise cubic interpolation of volume fractions was used to calculate volume fractions of constituent material phases at a point; these fractions were defined at a limited number of evenly spaced control points. The effective material properties of the panel were obtained by applying the linear rule of mixtures. The behavior of FG sandwich panel was predicted by Reddy’s assumptions of third-order shear deformation theory. Exact solutions for deflections and stresses of simply supported sandwich panel were presented using the Navier-type solution technique. The volume fractions at control points, material, and thickness of the faces which were selected as decision variables were optimized by a multi-objective evolutionary algorithm known as the fast and elitist multi-objective genetic algorithm (NSGA-II). The mass and deflection of the model were considered the objective functions to be minimized with stress constraints. This model was optimized to verify the capability and efficiency of the proposed model under mechanical loading. The framework proposed for designing FG sandwich panel under pure mechanical conditions was furnished by the results.

Multi-Objective Optimization of Functionally Graded Hollow Cylinders

2011 ◽  
Author(s):  
M. Nabian ◽  
M. T. Ahmadian
Keyword(s):  
Natural Frequency ◽  
Volume Fraction ◽  
Optimization Method ◽  
Functionally Graded ◽  
Multi Objective Optimization ◽  
Algorithm Optimization ◽  
Multi Objective ◽  
Graded Material ◽  
Hollow Cylinders ◽  
Volume Fraction Function

In this study, two physical properties of simply supported hollow cylinders made of functionally graded materials are investigated. These two properties are mass and first natural frequency which is desirable to be minimized and maximized respectively in mechanical applications. The functionally graded material properties are assumed to vary continuously through the thickness of the cylinder. In this multi-objective optimization problem the first natural frequency of the FGM cylinders as well as its mass are formulated in terms of the volume fraction of the constituents, then by using Genetic algorithm optimization method the continuous volume fraction function of the constituents has been derived to minimize the mass and maximize the first natural frequency simultaneously.

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