Topology optimization for braced frames: Combining continuum and beam/column elements

Engineering Structures

Volumn 37, Issue , 2012, Pages 106-124

  Stromberg, Lauren L ^a   Beghini, Alessandro ^b   Baker, William F ^b   Paulino, Glaucio H ^a  

^a University of Illinois at Urbana Champaign   (United States)

^b Skidmore Owings and Merrill LLP   (United States)

Author keywords

Braced frames; Continuum and discrete elements; High rise buildings; Lateral systems; Material layout; Optimal braced frame geometry; Topology optimization

Indexed keywords

BEAM ELEMENTS; BRACED FRAME; DISCRETE ELEMENTS; HIGH RISE BUILDING; HIGH-RISE BUILDING STRUCTURE; HIGH-RISE BUILDINGS; INTEGRATED TOPOLOGIES; MATERIAL LAYOUT; NUMERICAL EXAMPLE; NUMERICAL RESULTS; OPTIMAL GEOMETRY; QUADRILATERAL FINITE ELEMENT;

NUMERICAL ANALYSIS; SHAPE OPTIMIZATION; TALL BUILDINGS;

STRUCTURAL FRAMES;

CONSTRUCTION METHOD; DISCRETE ELEMENT METHOD; FINITE ELEMENT METHOD; GEOMETRY; MULTISTOREY BUILDING; OPTIMIZATION; THEORETICAL STUDY; TOPOLOGY;

EID: 84856577783     PISSN: 01410296     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engstruct.2011.12.034     Document Type: Article

References (36)

1. Stromberg L.L., Beghini A., Baker W.F., Paulino G.H. Application of layout and topology optimization using pattern gradation for the conceptual design of buildings. Struct Multidisc Optim 2011, 43(2):165-180.
2. Allahdadian S, Boroomand B. Design and retrofitting of structures under transient dynamic loads by a topology optimization scheme. In: Proc 3rd Int Conf Seism Retrofit, October, 2010. p. 1-9.
3. Neves M.M., Rodrigues H., Guedes J.M. Generalized topology design of structures with a buckling load criterion. Struct Multidisc Optim 1995, 10(2):71-78.
4. Huang X., Xie Y.M. Topology optimization of nonlinear structures under displacement loading. Eng Struct 2008, 30(7):2057-2068.
5. Huang C., Han X., Wang C., Ji J., Li W. Parametric analysis and simplified calculating method for diagonal grid structural system. Jianzhu Jiegou Xuebao/J Build Struct 2010, 31(1):70-77.
6. Prager W. Optimal layout of trusses with finite number of joints. J Mech Phys Solids 1978, 26(4):241-250.
7. Prager W. Nearly optimal design of trusses. Comput Struct 1978, 8(3-4):451-454.
8. Michell A.G.M. The limits of economy of material in frame-structures. Phil Mag 1904, 8(47):589-597.
9. Ben-Tal A., Nemirovski A. Robust optimization G methodology and applications. Math Program 2002, 92(3):453.
10. Mazurek A., Baker W.F., Tort C. Geometrical aspects of optimum truss like structures. Struct Multidisc Optim 2011, 43(2):231-242.
11. Bendsoe M., Kikuchi N. Generating optimal topologies in structural design using a homogenization method. Comput Methods Appl Mech Eng 1988, 71(2):197-224.
12. Bendsoe M. Optimal shape design as a material distribution problem. Struct Optim 1989, 1(4):193-202.
13. Bendsoe M., Sigmund O. Topology optimization: theory, methods and applications 2002, Springer.
14. Takezawa A., Nishiwaki S., Izui K., Yoshimura M. Structural optimization based on topology optimization techniques using frame elements considering cross-sectional properties. Struct Multidisc Optim 2006, 34(1):41-60.
15. Fredricson H. Topology optimization of frame structures-joint penalty and material selection. Struct Multidisc Optim 2005, 30(3):193-200.
16. Kaveh A., Shahrouzi M. Graph theoretical topology control in structural optimization of frames with bracing systems. Sci Iran 2009, 16(2):173-187.
17. Wang D. Optimal shape design of a frame structure for minimization of maximum bending moment. Eng Struct 2007, 29(8):1824-1832.
18. Diaz A.R., Kikuchi N. Solutions to shape and topology eigenvalue optimization problems using a homogenization method. Int J Numer Method Eng 1992, 35(7):1487-1502.
19. Liang QQ. Effects of continuum design domains on optimal bracing systems for multistory steel building frameworks. In: Proc 5th Australas Congr Appl Mech; vol. 2. Engineers Australia; 2007. p. 794-9.
20. Liang Q.Q., Xie Y.M., Steven G.P. Optimal topology design of bracing systems for multi-story steel frames. J Struct Eng - ASCE 2000, 126(7):823-829.
21. Mijar A.R., Swan C.C., Arora J.S., Kosaka I. Continuum topology optimization for concept design of frame bracing systems. J Struct Eng - ASCE 1998, 124(5):541-550.
22. Lagaros N., Psarras L., Papadrakakis M., Panagiotou G. Optimum design of steel structures with web openings. Eng Struct 2008, 30(9):2528-2537.
23. Baker W.F. Energy-based design of lateral systems. Struct Eng Int 1992, 2:99-102.
24. Hill R. The mathematical theory of plasticity 1950, Oxford University Press Inc, New York.
25. Lubliner J. Plasticity theory 1990, Macmillan Publishing Company, New York.
26. Hemp W. Optimum structures 1973, Clarendon Press, Oxford.
27. Cook R.D., Malkus D.S., Plesha M.E., Witt R.J. Concepts and applications of finite element analysis 2001, Wiley, ISBN 0471356050. 4th ed.
28. Kohn R.V., Strang G. Optimal-design and relaxation of variational problems I. Commun Pure Appl Math 1986, 39(1):113-137.
29. Kohn R.V., Strang G. Optimal-design and relaxation of variational problems II. Commun Pure Appl Math 1986, 39(2):139-182.
30. Petersson J., Sigmund O. Slope constrained topology optimization. Int J Numer Method Eng 1998, 41(8):1417-1434.
31. Zhou M., Rozvany G.I.N. The COC algorithm. Part II: Topological, geometrical and generalized shape optimization. Comput Methods Appl Mech Eng 1991, 89(1-3):309-336.
32. Rozvany G.I.N., Zhou M., Birker T. Generalized shape optimization without homogenization. Struct Multidisc Optim 1992, 4(3):250-252.
33. Bendsoe M., Sigmund O. Material interpolation schemes in topology optimization. Arch Appl Mech 1999, 69(9-10):635-654.
34. Stolpe M., Svanberg K. An alternative interpolation scheme for minimum compliance topology optimization. Struct Multidisc Optim 2001, 22(2):116-124.
35. Guest J.K., Prévost J.H., Belytschko T. Achieving minimum length scale in topology optimization using nodal design variables and projection functions. Int J Numer Method Eng 2004, 61(2):238-254.
36. Sigmund O. A 99 line topology optimization code written in Matlab. Struct Multidisc Optim 2001, 21(2):120-127.