Macro-element approach for topology optimization of trusses using a ground structure method
Zhang, Xiaojia
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https://hdl.handle.net/2142/49727
Description
Title
Macro-element approach for topology optimization of trusses using a ground structure method
Author(s)
Zhang, Xiaojia
Issue Date
2014-05-30T17:06:42Z
Director of Research (if dissertation) or Advisor (if thesis)
Paulino, Glaucio H.
Department of Study
Civil & Environmental Eng
Discipline
Civil Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
M.S.
Degree Level
Thesis
Keyword(s)
Topology Optimization of Trusses
Ground Structure Method
Structured Quadrilateral Element
Voronoi-based Element
Macro-element Approach
Abstract
In this thesis, the generation of initial ground structures for generic domains in two and three dimensions are discussed. Two methods of discretization are compared: Voronoi-based discretizations and structured quadrilateral discretizations. In addition, a simple and effective member generation approach is proposed: the Macro-element approach; which can be implemented with both types of discretization. The features of the approach are discussed: efficient generation of initial ground structures; reduction in matrix bandwidth for global stiffness matrix; finer control of bar connectivity; and reduction of overlapped bars. Numerical examples are presented which display the features of the proposed approach, and highlight the comparison with literature results and traditional ground structure generation methods.
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