Thermoelastic analysis and multi-objective optimal design of functionally graded flywheels for energy storage systems

In this study, the multi-objective optimal design of functionally graded material flywheels is obtained using the non-dominated sorting genetic algorithm-II. The variations in temperature along the flywheel radius due to the operating conditions and environmental changes are taken into consideration in design optimization. Variations in the elastic and thermal properties of materials with temperature are taken into consideration for the first time, to the best of the authors’ knowledge. The thermoelastic equations of motion and the heat equation are derived and then solved by the generalized differential quadrature method. Results for temperature variation, radial displacement and von Mises stress are compared with the results of finite element analysis, and very good agreement is observed. Designs with optimal cross-sectional geometry and material distribution that give minimum mass and maximum kinetic energy are obtained.

[1]  Gerald Kress.  Shape optimization of a flywheel , 2000 .

[2]  L. Jiang,et al.  Topology optimization of energy storage flywheel , 2017 .

[3]  Massimiliano Gobbi,et al.  Interactive Optimisation of a Flywheel , 2006 .

[4]  Mehmet Ali Arslan,et al.  Flywheel geometry design for improved energy storage using finite element analysis , 2008 .

[5]  Chengwei Wu,et al.  Shape optimization of energy storage flywheel rotor , 2017 .

[6]  Georges M. Fadel,et al.  Heterogeneous flywheel modeling and optimization , 2000 .

[7]  Aytac Arikoglu,et al.  Multi-objective optimal design of hybrid viscoelastic/composite sandwich beams by using the generalized differential quadrature method and the non-dominated sorting genetic algorithm II , 2017 .

[8]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[9]  J. Reddy,et al.  Thermo elastic analysis of functionally graded rotating disks with temperature-dependent material properties: uniform and variable thickness , 2009 .

[10]  K. M. Ragsdell,et al.  Optimal Flywheel Design With a General Thickness Form Representation , 1983 .

[11]  Chang Shu,et al.  Implementation of clamped and simply supported boundary conditions in the GDQ free vibration analysis of beams and plates , 1997 .

[12]  Pierre Mertiny,et al.  Design and Multi-Objective Optimization of Fiber-Reinforced Polymer Composite Flywheel Rotors , 2018, Applied Sciences.

[13]  Nadar D. Ebrahimi.  Optimum design of flywheels , 1988 .

[14]  J. N. Reddy,et al.  Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates , 1998 .

[15]  Pierre Mertiny,et al.  Cost optimization of a hybrid composite flywheel rotor with a split-type hub using combined analytical/numerical models , 2011 .

[16]  Mica Grujicic,et al.  Bi-objective optimization design of functionally gradient materials , 2002 .