# TOPSIS 를 적용한 CRT 후면유리의 다중목적 형상최적설계

• 이광기 (브이피 코리아) ;
• 한정우 (한국기계연구원 시스템엔지니어링연구본부) ;
• 한승호 (동아대학교 기계공학과)
• Received : 2010.12.10
• Accepted : 2011.04.13
• Published : 2011.07.01
• 89 10

#### Abstract

The technique for order preference by similarity to ideal solution (TOPSIS) is regarded as a classical method of multiple attribute decision making (MADM), often used to solve various decision-making or selection problems. It is based on the concept that the chosen alternative should have the shortest distance from the positive ideal solution and the farthest distance from the negative ideal solution. The TOPSIS can be applied to a design process for carrying out multi-objective shape optimization wherein the best and worst alternatives are to be decided. In this paper, multi-objective shape optimization using the TOPSIS and Rational Bezier curve was applied to the funnel of a cathode-ray tube (CRT). In order to minimize the weight and first principal stress, a new multi-objective shape optimization methodology is proposed, wherein the relative-closeness coefficients of the TOPSIS are defined as the performance indices of a multi-objective function and evaluated by response surface models. This methodology enables the designer to decide on the best solution from a number of design specification groups by examining the various conflicts between the weight and the first principal stress.

#### Keywords

TOPSIS(Technique for Order Preference by Similarity to Ideal Solution);Multi-objective Shape Optimization;CRT Funnel;Design of Experiments;Rational Bezier Curve;MADM(Multi-Attribute Decision Making)

#### Acknowledgement

Supported by : 동아대학교

#### References

1. Lee, K. K. and Han, S. H., 2010, "Development of Computational Orthogonal Array Based Fatigue Life Prediction Model for Shape Optimization of Turbine Blade," Transaction of KSME(A), Vol. 34, No. 5, pp. 611-617. https://doi.org/10.3795/KSME-A.2010.34.5.611
2. Lee, K. K. and Han, S. H., 2009, "Six Sigma Robust Design for Railway Vehicle Suspension," Transaction of KSME(A), Vol. 33, No. 10, pp. 1132-1138. https://doi.org/10.3795/KSME-A.2009.33.10.1132
3. Baek, S. H., Cho, S. S. and Joo, W. S., 2009, "Response Surface Approximation for Fatigue Life Prediction and Its Application to Multi-Criteria Optimization with a Priori Preference Information," Transaction of KSME(A), Vol. 33, No. 2, pp. 114-126. https://doi.org/10.3795/KSME-A.2009.33.2.114
4. Yu, Y. G. and Kwak, B. M., 2003, "Development of a CAD-Based General Purpose Optimal Design and Its Application to Structural Shape for Fatigue Life," Annual Fall Conferences of KSME, pp. 1340-1345.
5. Yu, J. and Ishii, K., 1993, "Robust Optimization Method for Systems with Significant Nonlinear Effects," Advances in Design Automation, DE-vol., 65-1, ASME, pp. 371-378.
6. Kim, Y. H., Seo, J. H., Cho, Y. W. and Park, M. K., 2005, "A Case Study of MADM using Taguchi Techniques and LAM," Annual Fall Conferences for Korea Safety Management & Science, pp. 399-449
7. Hwang C. L. and Yoon K., 1981, Multiple Attribute Decision Making: Methods and Applications, Springer Verlag.
8. Li, D. F., 2010, "TOPSIS-based Nonlinear-Programming Methodology for Multiattribute Decision Making with Interval-Valued Intuitionistic Fuzzy Sets," IEEE Transactions on Fuzzy Systems, Vol. 18, No. 2, pp. 299-311. https://doi.org/10.1109/TFUZZ.2010.2041009
9. Mahdavi, I., Mahdavi-Amiri, N., Heidarzade, A. and Nourifar, R., 2008, "Designing a Model of Fuzzy TOPSIS in Multiple Criteria Decision Making," Applied Mathematics and Computation, Vol. 206, pp. 607-617. https://doi.org/10.1016/j.amc.2008.05.047
10. Kim, J. R. and Kim, G. T., 1997, "A Supplier Selection Method using the TOPSIS Techniques," Journal of Korean Operations Research and Management Science, Vol. 14, No. 2, pp. 1-17.
11. Myers, Montgomery, 1995, Response Surface Methodology - Process and Product Optimization Using Designed Experiments, John Wiley & Sons, New York.
12. Ha, K. D., Shin, S. C., Kim, D. N., Lee, K. H. and Kim, J. H., 2006, "Development of a 32-in. Slim CRT with $125^{\circ}$ Deflection," Journal of the SID, Vol. 22, No.1.
13. Kim, D. S., Jang, T., Shin, H. and Park, J. Y., 2001, "Rational Bezier Form of Hodographs of Rational Bezier Curves and Surfaces," Computer-Aided Design, Vol. 33, pp. 321-330. https://doi.org/10.1016/S0010-4485(00)00091-9
14. Chakladar, N. D. and Charaborty, S., 2008, "A Combined TOPSIS-AHP-Method-Based Approach for Non-Traditional Machining Process Selection," Proc. IMechE Vol. 222, PartB. pp. 196-201.
15. ANSYS Inc., 2009, ANSYS User's Guide ver. 11.

#### Cited by

1. Optimization process for concept design of tactical missiles by using pareto front and TOPSIS vol.15, pp.7, 2014, https://doi.org/10.1007/s12541-014-0478-7
2. Shape Optimization of Impeller Blades for 15,000 HP Centrifugal Compressor Using Fluid Structural Interaction Analysis vol.38, pp.6, 2014, https://doi.org/10.3795/KSME-B.2014.38.6.547