ARTICLE
A mathematical programming method for the topology optimization of a truss-like continuum
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College of Civil Engineering, Huaqiao University, Xiamen, China

Submission date: 2018-11-03

Acceptance date: 2019-04-04

Online publication date: 2019-07-15

Publication date: 2019-07-15

Journal of Theoretical and Applied Mechanics 2019;57(3):751-763

KEYWORDS
ABSTRACT
A mathematical programming method to optimize the distribution field of a truss-like ma- terial 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 es- tablished 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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