Počet záznamů: 1
Advances and Trends in Optimization with Engineering Applications
- 1.0507126 - ÚTIA 2020 RIV US eng M - Část monografie knihy
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
Institucionální podpora: RVO:67985556
Klíčová slova: truss topology optimization * conic optimization
Obor OECD: 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).
Trvalý link: http://hdl.handle.net/11104/0298530
Počet záznamů: 1