Advances and Trends in Optimization with Engineering Applications

0507126 - ÚTIA 2020 RIV US eng M - Monography Chapter
Kočvara, Michal
Truss topology design by conic linear optimization.
Advances and Trends in Optimization with Engineering Applications. Philadelphia: SIAM, Society for Industrial and Applied Mathematics, 2017 - (Terlaky, T.; Anjos, M.; Shabbir, A.), s. 135-147. ISBN 978-1-61197-467-6
Institutional support: RVO:67985556
Keywords : truss topology optimization * conic optimization
OECD category: Pure mathematics
http://library.utia.cas.cz/separaty/2019/MTR/kocvara-0507126.pdf

This chapter can be viewed as a complement to Chapter 2 (Truss Topology Design by Linear Optimization). We will use the same mechanical model of trusses and, whenever possible, the same notation. In Chapter 2, the truss topology design problem is formulated and solved as a linear optimization (LO) problem. In this chapter, we will introduce alternative formulations using conic linear optimization (CLO). In particular, we will present linear second-order cone optimization (SOCO) and linear semidefinite optimization (SDO) formulations of the minimum volume and minimum compliance problems. All formulations will be developed in the “primal” variables (bar cross-sectional areas) and the “dual” variables (displacements).


Permanent Link: http://hdl.handle.net/11104/0298530