{"title":"A Fuzzy Satisfactory Optimization Method Based on Stress Analysis for a Hybrid Composite Flywheel","authors":"Liping Yang, Curran Crawford, Jr. Ren, Zhengyi Ren","volume":128,"journal":"International Journal of Materials and Metallurgical Engineering","pagesStart":537,"pagesEnd":543,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/10007605","abstract":"
Considering the cost evaluation and the stress analysis, a fuzzy satisfactory optimization (FSO) method has been developed for a hybrid composite flywheel. To evaluate the cost, the cost coefficients of the flywheel components are obtained through calculating the weighted sum of the scores of the material manufacturability, the structure character, and the material price. To express the satisfactory degree of the energy, the cost, and the mass, the satisfactory functions are proposed by using the decline function and introducing a satisfactory coefficient. To imply the different significance of the objectives, the object weight coefficients are defined. Based on the stress analysis of composite material, the circumferential and radial stresses are considered into the optimization formulation. The simulations of the FSO method with different weight coefficients and storage energy density optimization (SEDO) method of a flywheel are contrasted. The analysis results show that the FSO method can satisfy different requirements of the designer and the FSO method with suitable weight coefficients can replace the SEDO method.<\/p>\r\n","references":"[1]\tM. Krack, M. Secanell, P. Mertiny, \u201cCost Optimization of Hybrid Composite Flywheel Rotors for Energy Storage,\u201d Struct Multidisc Optim, vol.41, 2010, pp. 779\u2013795.\r\n[2]\tM. Krack, M. Secanell, P. Mertiny, \u201cCost Optimization of a Hybrid Composite Flywheel Rotor with a Split-type Hub Using Combined Analytical\/numerical Models,\u201d Struct Multidisc Optim, vol.44, 2011, pp. 57-73.\r\n[3]\tX. l. Yan, \u201cCost Optimization Design of Hybrid Composite Flywheel Rotor,\u201d Journal of mechanical engineering, vol.4. n12, 2012, pp. 118-126.\r\n[4]\tJ. Huang, G. Fadel, \u201cHeterogeneous Flywheel Modeling and Optimization,\u201d Materials and Design, vol.21. n2, 2000, pp 111-125.\r\n[5]\tD. Krzyszt, T. Jan, \u201cTwo Methods for Optimization of Flywheel,\u201d Engineering Optimization, vol.41. n4, 2009, pp. 351-363.\r\n[6]\tS. Ha, H. Jeong, Y. Cho, \u201cOptimum Design of Thick-walled Composite Rings for an Energy Storage System,\u201d Journal of Composite Materials, vol.32. n9, 1998, pp. 851-873.\r\n[7]\tS. K. Ha, J. H. Kim, Y. H. Han, \u201cDesign of a hybrid composite flywheel multi-rim rotor system using geometric scaling factors,\u201d Compos Mater, vol.42. n8, 2008, pp. 771-85.\r\n[8]\tJ. D. Kwon, S. J. Kim, S. U. Nasir, S. K. Ha, \u201cDesign and Fabrication of Hybrid Composite Flywheel Rotor,\u201d World Academy of Science, Engineering and Technology, vol.60, 2011, pp. 1869-1873.\r\n[9]\tD. H. Curtiss, P P Mongeau, R L Puterbaugh, \u201cAdvanced Composite Flywheel Structural Design for a Pulsed Disk Alternator,\u201d IEEE Transactions On Magnetics, vol.31. n1, 1995, pp. 26-31.\r\n[10]\tS.K. Ha, S. J. Kim, S. U. Nasir, S. C. Han. \u201cDesign optimization and fabrication of a hybrid composite flywheel rotor,\u201d composite structure, vol.94, 2012, pp.3290-3299.\r\n[11]\tM. Sakawa, K. Kosuke, K. Hideki, \u201cAn Interactive Fuzzy Satisficing Method for Multiobjective Linear Programming Problems with Random Variable Coefficients Through a Probability Maximization Model,\u201d Fuzzy Sets and Systems, vol.146, 2004, pp. 205-220.\r\n[12]\tR. N. Tiwari, S. Dharmar, J. R. Rao, \u201cFuzzy Goal Programming-An Additive Model,\u201d Fuzzy Sets and Systems, vol.24, 1987, pp. 27-34.\r\n[13]\tS. K. Ha, H. I. Yang, D. J. Kim, \u201cOptimal Design of a Hybrid Composite Flywheel with a Permanent Magnet Rotor,\u201d Journal of Composite Materials, vol.33. n16, 1999, pp. 1544-1575.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 128, 2017"}