0507126 20240103222344.020190731235959.9 10.1137/1.9781611974683.ch11 648 13 s. P cav_un_epca*0507125978-1-61197-467-6135-147PhiladelphiaSIAM, Society for Industrial and Applied Mathematics2017TerlakyTamasAnjosMiguelShabbirAhmed truss topology optimization conic optimization cav_un_auth*0101131 Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory 100 Kočvara Michal UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. 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). BA 10000 10100 10101 2020 1 RVO:67985556 http://hdl.handle.net/11104/0298530 S 2017 SCOPUS PUBMED WOS cav_un_epca*0507125 Advances and Trends in Optimization with Engineering Applications SIAM, Society for Industrial and Applied Mathematics 2017 Philadelphia 135 147 978-1-61197-467-6 340 Terlaky Tamas 340 Anjos Miguel 340 Shabbir Ahmed