Optimal design of functionally graded PmPV/CNT nanocomposite cylindrical tube for purpose of torque transmission

Abstract

Carbon nanotube (CNT)/polymer nanocomposites have vast application in industry because of their light mass and high strength. In this work, a cylindrical tube which is made up of functionally graded (FG) PmPV/CNT nanocomposite, is optimally designed for the purpose of torque transmission. The main confining parameters of a rotating shaft in torque transmission process are mass of the shaft, critical speed of rotation and critical buckling torque. It is required to solve a multi-objective optimization problem (MOP) to consider these three targets simultaneously in the process of design. The three-objective optimization problem for this case is defined and solved using a hybrid method of FEM and modified non-dominated sorting genetic algorithm (NSGA-II), by coupling two softwares, MATLAB and ABAQUS. Optimization process provides a set of non-dominated optimal design vectors. Then, two methods, nearest to ideal point (NIP) and technique for ordering preferences by similarity to ideal solution (TOPSIS), are employed to choose trade-off optimum design vectors. Optimum parameters that are obtained from this work are compared with the results of previous studies for similar cylindrical tubes made from composite or a hybrid of aluminum and composite that more than 20% improvement is observed in all of the objective functions.

Keywords

nanocomposite / carbon nanotube (CNT) / functionally graded materials (FGM) / cylindrical tube / finite element method (FEM) / modified NSGA-II technique for ordering preferences by similarity to ideal solution (TOPSIS) / nearest to ideal point (NIP)

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