Structural Engineering and Mechanics

  • 제5권5호
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  • Pages.565-576
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  • 1997
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Optimal reinforcement design of structures under the buckling load using the homogenization design method

  • Min, Seungjae (Department of Mechanical Engineering and Applied Mechanics, University of Michigan) ;
  • Kikuchi, Noboru (Department of Mechanical Engineering and Applied Mechanics, University of Michigan)
  • 발행 : 1997.09.25
⟨ 이전 논문 다음 논문 ⟩

초록

The material-based homogenization design method generates arbitrary topologies of initial structural design as well as reinforcement structural design by controlling the amount of material available. However, if a small volume constraint is specified in the design of Lightweight structures, thin and slender structures are usually obtained. For these structures stability becomes one of the most important requirements. Thus, to prevent overall buckling (that is, to increase stability), the objective of the design is to maximize the buckling load of a structure. In this paper, the buckling analysis is restricted to the linear buckling behavior of a structure. The global stability requirement is defined as a stiffness constraint, and determined by solving the eigenvalue problem. The optimality conditions to update the design variables are derived based on the sequential convex approximation method and the dual method. Illustrated examples are presented to validate the feasibility of this method in the design of structures.

키워드

참고문헌

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  2. On compliance and buckling objective functions in topology optimization of snap-through problems vol.47, pp.3, 2013, https://doi.org/10.1007/s00158-012-0832-2
  3. Optimal structural design considering flexibility vol.190, pp.34, 2001, https://doi.org/10.1016/S0045-7825(00)00329-7
  4. Integrated Discrete/Continuum Topology Optimization Framework for Stiffness or Global Stability of High-Rise Buildings vol.141, pp.8, 2015, https://doi.org/10.1061/(ASCE)ST.1943-541X.0001164
  5. A review on structural enhancement and repair using piezoelectric materials and shape memory alloys vol.21, pp.1, 2012, https://doi.org/10.1088/0964-1726/21/1/013001
  6. Minimal compliance topologies for maximal buckling load of columns vol.51, pp.5, 2015, https://doi.org/10.1007/s00158-014-1202-z
  7. A simple alternative formulation for structural optimisation with dynamic and buckling objectives vol.55, pp.3, 2017, https://doi.org/10.1007/s00158-016-1544-9
  8. Topology optimization of continuum structures under buckling constraints vol.157, 2015, https://doi.org/10.1016/j.compstruc.2015.05.020
  9. An Adaptive Continuation Method for Topology Optimization of Continuum Structures Considering Buckling Constraints vol.09, pp.07, 2017, https://doi.org/10.1142/S1758825117500922
  10. Elimination of the Effects of Low Density Elements in Topology Optimization of Buckling Structures vol.13, pp.06, 2016, https://doi.org/10.1142/S0219876216500419
  11. Linear buckling topology optimization of reinforced thin-walled structures considering uncertain geometrical imperfections vol.62, pp.6, 2020, https://doi.org/10.1007/s00158-020-02738-6