한국공간구조학회논문집 (Journal of Korean Association for Spatial Structures)

  • 제23권1호
  • /
  • Pages.15-23
  • /
  • 2023
  • /
  • 1598-4095(pISSN)
  • /
  • 2287-7401(eISSN)
한국공간구조학회 (Korean Association for Spatial Structures)
권호 표지
DOI QR코드

DOI QR Code

위상최적설계를 이용한 H형강 부재의 스티프너 형상탐색

Shape Extraction of Stiffeners of H-beam using Topologically Structural Optimization

  • Jung, Wonsik (Dept of Architectural Engineering, Sejong University) ;
  • Banh, Thien Thanh (Dept. of Architectural Engineering, Sejong University) ;
  • Lee, Dongkyu (Dept. of Architectural Engineering, Sejong University)
  • 투고 : 2022.10.10
  • 심사 : 2022.11.27
  • 발행 : 2023.03.15
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this work, we deal with the feasibility of structural topology optimization for beam designs using retrofits that optimally allocates the reinforcement to the web under the condition that designers set bolt regions for H-beams of different dimensions. Mean compliance or minimal strain energy is considered for the optimization. Volume fraction is given to the design space to assign appropriate steel material quantities. The purpose of this study is to evaluate optimal shapes of stiffeners with the maximum rigidity that improves the axial and shear performance of the H-beam and to satisfy a given safety design standard of H-beam and stiffeners in case arbitrary load effect and resistances. Finally, the effectiveness of stiffness-based topology optimization on stiffeners is verified with several practical applicable examples.

키워드

과제정보

This work was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government (MSIT) (No. 2022R1A2C1003776).

참고문헌

  1. Alinia, M. M. "A study into optimization of stiffeners in plates subjected to shear loading." Thin-walled structures, Vol.43, No.5, pp.845-860, 2005, doi: 10.1016/j.tws.2004.10.008 
  2. Chen, S., & Wang, X., "Finite element analysis of distortional lateral buckling of continuous composite beams with transverse web stiffeners", Advances in Structural Engineering, Vol.15, No.9, pp.1607-1616, 2012, doi: 10.1260/1369-4332.15.9.160 
  3. Tsavdaridis, K. D., & Galiatsatos, G., "Assessment of cellular beams with transverse stiffeners and closely spaced web openings", Thin-Walled Structures, Vol.94, pp.636-650, 2015, doi: 10.1016/j.tws.2015.05.00 
  4. Rockey, K. C., & Skaloud, M., "The ultimate load behaviour of plate girders loaded in shear", The Structural Engineer, Vol.50, No.1, pp.29-47, 1972. 
  5. Guarnieri, G., "Collapse of plate girders with inclined stiffeners:, Journal of Structural Engineering, Vol.111, No.2, pp.378-399, 1985, doi: 10.1061/(ASCE)0733-9445(1985)111:2(378) 
  6. Chen, X. W., Yuan, H. X., Du, X. X., Zhao, Y., Ye, J., & Yang, L., "Shear buckling behaviour of welded stainless steel plate girders with transverse stiffeners", Thin-Walled Structures, Vol.122, pp.529-544, 2018, doi: 10.1016/j.tws.2017.10.043 
  7. Hassanein, M. F., "Imperfection analysis of austenitic stainless steel plate girders failing by shear", Engineering Structures, Vol.32, No.3, pp.704-713, 2010, doi: 10.1016/j.engstruct.2009.11.016 
  8. Olsson, A., "Stainless steel plasticity: material modelling and structural applications (Doctoral dissertation, Lulea tekniska universitet), 2001. 
  9. Bendsoe, M. P., "Optimal shape design as a material distribution problem", Structural optimization, Vol.1, pp.193-202, 1989.  https://doi.org/10.1007/BF01650949
  10. Bendsoe, M. P., & Kikuchi, N., "Generating optimal topologies in structural design using a homogenization method", Computer methods in applied mechanics and engineering, Vol.71, No.2, pp.197-224, 1988, doi: 10.1016/0045-7825(88)90086-2 
  11. Xie, Y. M., & Steven, G. P., "A simple evolutionary procedure for structural optimization", Computers & structures, Vol. 49, No.5, pp.885-896, 1993, doi: 10.1016/0045-7949(93)90035-C 
  12. Querin, O. M., Steven, G. P., & Xie, Y. M., "Evolutionary structural optimisation (ESO) using a bidirectional algorithm", Engineering computations, Vol.15, No.8, pp.1031-1048, 1998.  https://doi.org/10.1108/02644409810244129
  13. Osher, S., & Sethian, J. A., "Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations", Journal of computational physics, Vol.79, No.1, pp.12-49, doi: 10.1016/0021-9991(88)90002-2 
  14. Sethian, J. A., & Wiegmann, A., "Structural boundary design via level set and immersed interface methods", Journal of computational physics, Vol.163, No.2, pp.489-528, 2000, doi: 10.1006/jcph.2000.6581 
  15. Osher, S. J., & Santosa, F., "Level set methods for optimization problems involving geometry and constraints: I: Frequencies of a two-density inhomogeneous drum", Journal of Computational Physics, Vol.171, No.1, 272-288, 2001, doi: 10.1006/jcph.2001.6789 
  16. Allaire, G., Jouve, F., & Toader, A. M., "Structural optimization using sensitivity analysis and a level-set method", Journal of computational physics, Vol.194, No.1, pp.363-393, 2004, doi: 10.1016/j.jcp.2003.09.032 
  17. Wang, M. Y., Wang, X., & Guo, D., "A level set method for structural topology optimization", Computer methods in applied mechanics and engineering, Vol.192, No.1-2, pp.227-246, 2003, doi: 10.1016/S0045-7825(02)00559-5 
  18. Xia, Q., Shi, T., & Wang, M. Y., "A level set based shape and topology optimization method for maximizing the simple or repeated first eigenvalue of structure vibration", Structural and Multidisciplinary Optimization, Vol.43, pp.473-485, 2011, doi: 10.1007/s00158-010-0595-6 
  19. Rasmussen, K. J. R., & Hancock, G. J., "Design of cold-formed stainless steel tubular members. II: Beams", Journal of Structural Engineering, Vol.119, No.8, pp.2368-2386, 1993, doi: 10.1061/(ASCE)0733-9445(1993)119:8(2368) 
  20. Gardner, L., & Theofanous, M., "Discrete and continuous treatment of local buckling in stainless steel elements", Journal of Constructional Steel Research, Vol.64, pp.11, pp.1207-1216, 2008, doi: 10.1016/j.jcsr.2008.07.003 
  21. Becque, J., Lecce, M., & Rasmussen, K. J., "The direct strength method for stainless steel compression members", Journal of constructional steel research, Vol.64, No.11, pp.1231-1238, doi: 10.1016/j.jcsr.2008.07.007 
  22. Wang, M. Y., & Wang, X., "PDE-driven level sets, shape sensitivity and curvature flow for structural topology optimization", CMES-Computer Modeling in Engineering and Sciences, Vol.6, No.4, pp.373, 2004. 
  23. Wang, S., & Wang, M. Y., "Radial basis functions and level set method for structural topology optimization", International journal for numerical methods in engineering, Vol.65, No.12, pp.2060-2090, 2006, doi: 10.1002/nme.1536 
  24. Buhmann, M. D., "Radial basis functions: theory and implementations", Cambridge university press, Vol.12, pp.89-98, 2003. 
  25. Wei, P., Li, Z., Li, X., & Wang, M. Y., "An 88-line MATLAB code for the parameterized level set method based topology optimization using radial basis functions", Structural and Multidisciplinary Optimization, Vol.58, pp.831-849, 2018, doi: 10.1007/s00158-018-1904-8