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Abstract
In this report, the mathematical programming method is described, which is capable of solving a broad class of structural optimization problem. The method employs reciprocal design variables in order to get first-order approximations to the object function and to the constrains. By this approach, the primary problem is replaced with a sequences of explicit subproblems. Each subproblem which is convex and separable could be efficiently solved by using a dual formulation. Within this report, the method is applied on sizing optimization of trusses for a fixed, geometry and it is generalized to the case where the geometry is not fixed.
Issue: Vol 7 No 4&5 (2004)
Page No.: 128-140
Published: May 31, 2004
Section: Article
DOI: https://doi.org/10.32508/stdj.v7i4&5.3206
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