Abstract
In this investigation, the multi-objective selection and optimization of a gantry machine tool is achieved by analytic hierarchy process, multi-objective genetic algorithm, and Pareto-Edgeworth-Grierson–multi-criteria decision-making method. The objectives include maximum static deformation, the first four natural frequencies, mass, and fabrication cost of the gantry. Further structural optimization of the best configuration was accomplished using multi-objective genetic algorithm to improve all objectives except cost. The result of sensitivity analysis reveals the major contribution of columns of gantry with respect to the crossbeam’s contribution. After determining the most effective geometrical parameters using sensitivity analysis, multi-objective genetic algorithm was performed to obtain the Pareto-optimal solutions. In order to choose the final configuration, Pareto-Edgeworth-Grierson–multi-criteria decision-making was applied. The procedure outlined in this article could be used for selection and optimization of gantry as quantitative method as opposed to traditional qualitative method exploited in industrial application for design of gantry.
| Ayağ, Z, Özdemir, RG (2006) A fuzzy AHP approach to evaluating machine tool alternatives. Journal of Intelligent Manufacturing 17: 179–190. Google Scholar, Crossref | |
| Ayağ, Z, Özdemir, RG (2011) An intelligent approach to machine tool selection through fuzzy analytic network process. Journal of Intelligent Manufacturing 22(2): 163–177. Google Scholar, Crossref | |
| Boadway, R, Bruce, N (1984) Welfare Economics. Oxford: Basil Blackwell, pp. 61–67. Google Scholar | |
| Chang, K-H, Silva, J, Bryant, I (1999) Concurrent design and manufacturing for mechanical systems. Concurrent Engineering: Research and Applications 7(4): 290–308. Google Scholar, Link | |
| Chen, G (2001) FE model validation for structural dynamics. PhD Thesis, Imperial College of Science, Technology and Medicine, University of London, UK. Google Scholar | |
| Grierson, DE (2008) Pareto multi-criteria decision making. Advanced Engineering Informatics 22(3): 371–384. Google Scholar, Crossref | |
| Guan, Y, Ren, L, Sun, J. (2010a) Analysis and optimization of crossbeam of gantry machining center. In: International conference on information engineering and computer science, Wuhan, China, 25–26 December, pp. 1–4. New York: IEEE. Google Scholar, Crossref | |
| Guan, Y, Zhao, Y, Mu, D. (2010b) Finite element analysis of five-axis gantry milling machine main structure. In: International conference on e-product e-service and e-entertainment, Henan, China, 7–9 November, pp. 1–4. New York: IEEE. Google Scholar, Crossref | |
| Han, G, Gao, B, Shao, J. (2011) Structural analysis and optimization on crossbeam of heavy NC gantry moving boring & milling machine. In: International conference on electronic and mechanical engineering and information technology (EMEIT), vol. 3, Harbin, China, 12–14 August, pp. 1586–1589. New York: IEEE. Google Scholar, Crossref | |
| Imamovic, N (1998) Validation of large structural dynamics models using modal test data. PhD Thesis, Imperial College of Science, Technology and Medicine, University of London, UK. Google Scholar | |
| Ko, Y-T (2013) Optimizing product architecture for complex design. Concurrent Engineering: Research and Applications 21(2): 87–102. Google Scholar, Link | |
| Liu, S, Li, Y, Liao, Y. (2014) Structural optimization of the crossbeam of a gantry machine tool based on grey relational analysis. Structural and Multidisciplinary Optimization 50: 297–311. Google Scholar, Crossref | |
| Morris, MD (1991) Factorial sampling plans for preliminary computational experiments. Technometrics 33: 161–174. Google Scholar, Crossref | |
| Nahm, Y-E, Ishikawa, H (2004) Integrated product and process modeling for collaborative design environment. Concurrent Engineering: Research and Applications 12(1): 5–23. Google Scholar, Link | |
| Prasad, B (1996) Concurrent Engineering Fundamentals. 1st ed. Upper Saddle River, NJ: Prentice Hall PTR. Google Scholar | |
| Saaty, TL (1980) The Analytic Hierarchy Process. New York: McGraw-Hill. Google Scholar | |
| Shakeri, C (1998) Discovery of design methodologies for the integration of multi-disciplinary design problems. PhD Thesis, Department of Mechanical Engineering, Worcester Polytechnic Institute, Worcester, MA. Google Scholar | |
| Shi, YH (2009) Beam parts dynamic characteristic analyse of GS5200 gantry five-face machining center. Manufacturing Technology & Machine Tool 56(5): 74–77. Google Scholar | |
| Taha, Z, Rostam, S (2012) A hybrid fuzzy AHP-PROMETHEE decision support system for machine tool selection in flexible manufacturing cell. Journal of Intelligent Manufacturing 23(6): 2137–2149. Google Scholar, Crossref | |
| Takezawa, A, Nishiwaki, S, Izui, K. (2005) Concurrent design and evaluation based on structural optimization using structural and function-oriented elements at the conceptual design phase. Concurrent Engineering: Research and Applications 13(1): 29–42. Google Scholar, Link | |
| Tzeng, G-H, Huang, J-J (2011) Multi-Attribute Decision Making: Methods and Applications. Boca Raton, FL: CRC Press. Google Scholar | |
| Weule, H, Fleischer, J, Neithardt, W. (2003) Structural optimization of machine tools including the static and dynamic workspace behavior. In: The 36th CIRP international seminar on manufacturing systems. Google Scholar | |
| Wujek, BA, Renaud, JE, Batill, SM. (1996) Concurrent subspace optimization using design variable sharing in a distributed computing environment. Concurrent Engineering: Research and Applications 4(4): 361–376. Google Scholar, Link | |
| Xiuheng, Z, Kai, L (2010) Structural optimization on beam parts of bridge type five axis linkage gantry machining center. In: The third international conference on intelligent networks and intelligent systems, Shenyang, China, 1–3 November, pp. 319–322. Google Scholar, Crossref | |
| Yang, H, Xue, D, Tu, YL (2006) Modeling of non-linear relations among different design and manufacturing evaluation measures for multi-objective optimal concurrent design. Concurrent Engineering: Research and Applications 14(1): 43–53. Google Scholar, Link | |
| Zhao, L, Ma, J, Chen, W. (2011) Lightweight design and verification of gantry machining center crossbeam based on structural bionics. Journal of Bionic Engineering 8(2): 201–206. Google Scholar, Crossref |

