Makrodimopoulos, A., Bhaskar, A. and Keane, A.J.
Second-order cone programming formulations for a class of problems in structural optimization.
Structural and Multidisciplinary Optimization, 40, (1-6), . (doi:10.1007/s00158-009-0376-2).
This paper provides efficient and easy to
implement formulations for two problems in structural
optimization as second-order cone programming
(SOCP) problems based on the minimum compliance
method and derived using the principle of complementary
energy. In truss optimization both single and
multiple loads (where we optimize the worst-case compliance)
are considered. By using a heuristic which is
based on the SOCP duality we can consider a simple
ground structure and add only the members which
improve the compliance of the structure. It is also
shown that thickness optimization is a problem similar
to truss optimization. Examples are given to illustrate
the method developed in this paper
Actions (login required)