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Content available A mathematical programming method for the topology optimization of a truss-like continuum
Cui Hao, Zhou Kemin
Journal of Theoretical and Applied Mechanics
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2019
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Vol. 57 nr 3
751--763
EN
A mathematical programming method to optimize the distribution field of a truss-like material is presented. The densities and angles of members are optimized in two separate procedures in each iteration. An explicit sub-problem in a variable separation form is established at every iteration procedure. At each sub-problem, the stress constraint function is expanded into a trigonometric series of the member angles. According to the extreme condition, the optimal orientations of members are determined. The member densities are optimized using the method of moving asymptotes (MMA). Two examples demonstrate that the optimal truss-like structures are very close to analytic solutions.
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