Journal of the Korean Society for Precision Engineering (한국정밀공학회지)

Korean Society for Precision Engineering (한국정밀공학회)
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A Study on Topology Optimization of Table Liner for Vertical Roller Mill using Homogenization Method

균질화법을 이용한 수직형 롤러 분쇄기용 테이블 라이너의 위상최적설계에 관한 연구

  • 이동우 (동아대학교 기계공학과 대학원) ;
  • 홍순혁 (부경대학교 공과대학 CAD/CAM Lab) ;
  • 조석수 (삼척대하교 기계ㆍ정밀기계ㆍ자동차공학부) ;
  • 이선봉 (삼척대학교 기계ㆍ정밀기계ㆍ자동차공학부) ;
  • 주원식 (동아대학교 기계ㆍ산업시스템공학부)
  • Published : 2003.06.01
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Abstract

Topology optimization is begun with layout optimization that is attributed to Rozvany and Prager of the 1960's. They claimed that structure was transformed into truss connecting all the nodes of finite element and optimized by control of its sectional modulus. But, this method is partial topology optimization. General layout optimal design appliable to continum structure was proposed by Bendsoe and Kikuchi in 1988. Topology optimization expresses material stiffness of structure into function of arbitrary variable. If this variable is 1, material exists but if this variable is 0, material doesn't exist. Therefore, topology optimization searches the distribution function of material stiffness for structure. There are a few researchs for simple engineering problem such as topology optimization of square plane structure or truss structure. So, This study applied to topology optimization of table liner for vertical roller mill that is the largest scale in the world. After table liner decreased by 20% of original weight, the structure analysis for first optimized model was performed.

Keywords

References

  1. Lee, Sang-Jin, 'Introduction of Topological Optimization,' Conputational Structural Engineering, Vol. 13, No. 3, pp. 25-33, 2000
  2. Suzuki,K., et al., 'A Homogenization Method for Shape and Topology Optimization,' Comp, Meth. Appl. Mech. Eng., Vol. 93, pp. 291-318, 1991 https://doi.org/10.1016/0045-7825(91)90245-2
  3. Ma, Z. D., et al., 'Topological Optimization TEchnique for Free Vibration Problems,' ASME, J. Applied Mechanics, Vol. 62, pp. 200-207, 1995 https://doi.org/10.1115/1.2895903
  4. Chung, Jin-Pyung, et al., 'Optimal Topology Design of Structures and Ribs Using Density Distribution,' Journal of the KSPE, Vol. 13, No. 7, pp. 66-77, 1996
  5. Choi, Kang-Suk, et al., 'Development of Improved Element REduction Method for Topology Structural Optimization,' Journal of the KSPE, Vol. 7, No. 4, pp.260-267, 1999
  6. Choi, Hyung-Mo, et al., 'A Study on the Fracture Analysis of Table Liner for Vertical Roller Mill using FEM,' Proceedings of the KSME Spring Annual Meeting, pp. 35-43, 2001
  7. Lee, Kyoung-Young, et al., 'A Study on the Fracture Mechanism of Table Liner for Vertical Roller Mill using FEM and Fatigue Analysis,' Proceedings of the KSAE Fall Annual Meeting, pp. 964-971, 2001
  8. Vanderplaats, G. N., Numerical optimization Techniques for Engineering Design with Applications, McGraw-Hill BOOK Co., 1984
  9. Haftka, R. T., et al., 'Element of Stuctural Optimizaiton(3rd Ed.),' Kluwer, Dordrecht, 1992
  10. Kumar, A. K., 'Shape and Topology Synthesis of Structures using a Sequential Optimization Algorithm,' Ph. D. Thesis, Massachusetts Institute of Technology, 1993
  11. Mroz, Z., 'Multiparameter Optimal Design of Plates and Shells,' Journal of Structural Mechanics, Vol. 1-3, pp. 371-392, 1978
  12. ANSYS Theory reference 11th edition, 'Chapter 20 Design Optimization,' Swanson Analysis system, Inc., pp. 20-20-20-25