Results 1 -
3 of
3
Semi-Definite Problems in Truss Topology Optimization
, 1995
"... In this report we review optimization problems arising from truss topology design, which can be formulated as positive semi-definite problems (PSP's). This is done with a view towards applying primal-dual interior point methods for PSP's to obtain efficient nonlinear solvers for this class of proble ..."
Abstract
-
Cited by 5 (2 self)
- Add to MetaCart
In this report we review optimization problems arising from truss topology design, which can be formulated as positive semi-definite problems (PSP's). This is done with a view towards applying primal-dual interior point methods for PSP's to obtain efficient nonlinear solvers for this class of problems. Key words: truss topology design, positive semi-definite programming iii 1 Introduction The discrete truss topology design (TTD) problem is to find optimal volumes of bars connecting a set of nodes, which may be free or fixed. The bar volumes may be zero, thus capturing the combinatorial nature of the problem, namely which bars to include in an optimal design. The nodes may be chosen as a fixed dense grid (ground structure), which allows a degree of optimization of nodal positions in the final design as well [16, 3]. The truss structure is designed to withstand specified forces (loading scenarios). The ground structure discretization approach lends itself to the application of mathema...
