Optimal Design for the Thermal Deformation of Disk Brake by Using Design of Experiments and Finite Element Analysis

실험계획법과 유한요소해석에 의한 디스크 브레이크의 열변형 최적설계

  • Published : 2001.12.01


In the practical design, it is important to extract the design space information of a complex system in order to optimize the design because the design contains huge amount of design conflicts in general. In this research FEA (finite element analysis) has been successfully implemented and integrated with a statistical approach such as DOE (design of experiments) based RSM (response surface model) to optimize the thermal deformation of an automotive disk brake. The DOE is used for exploring the engineer's design space and for building the RSM in order to facilitate the effective solution of multi-objective optimization problems. The RSM is utilized as an efficient means to rapidly model the trade-off among many conflicting goals existed in the FEA applications. To reduce the computational burden associated with the FEA, the second-order regression models are generated to derive the objective functions and constraints. In this approach, the multiple objective functions and constraints represented by RSM are solved using the sequential quadratic programming to archive the optimal design of disk brake.


Design of Experiments;Central Composite Design;Finite Element Analysis;Response Surface Model;Optimization;Design of Disk Brake


  1. Myers, R. H. and Montgomery, D. C., 1995, Response Surface Methodlogy - Process and Product Optimization Using Designed Experiments, John Wiley&Sons, New York
  2. ANSYS Inc., 2000, ANSYS User's Guide ver. 5.6
  3. SAS Institute Inc., 2000, JMP User's Guide
  4. Phoenix Integration Inc., 2000, ModelCenter User's Guide
  5. Arora, J. S., 1989, Introduction to Optimum Design, McGraw-Hill
  6. 남종승, 1995, '디스크 브레이크의 성능향상을 위한 유한요소 해석,' 홍익대학교 대학원 석사 학위 논문
  7. Kodiyalam, S, Lin, J. S. and Wujek, B. A. , 1998, 'Design of Experiments based Response Surface Models for Design Optimization,' Proceedings of the 39th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference and Exhibit and AIAA/ASME/AHS Adaptive Structures Forum -Part 4, pp. 2718-2727
  8. Koch, P. N., and Marvis, D., 1998, 'Multi-Level, Partitioned Response Surfaces for Modeling Complex Systems,' Proceedings of the 7th AIAA/USAF/NASA/ISSMO Symposiums on Multidisciplinary Analysis and Optimization - Part 3, pp. 1954-1968