Local stability of trusses in the context of topology optimization Part I: Exact modelling

1999 ◽  
Vol 17 (4) ◽  
pp. 235-246 ◽  
Author(s):  
W. Achtziger
Keyword(s):  
Topology Optimization ◽  
Local Stability

Topology Optimization of 3D Trusses With Cost of Supports

1993 ◽  
Author(s):  
Pauli Pedersen
Keyword(s):  
Topology Optimization ◽  
Local Stability ◽  
Optimization Problem ◽  
Basic Assumption ◽  
Load Condition ◽  
Compressive Stresses ◽  
Allowable Stresses ◽  
Design Variables ◽  
The Cost ◽  
Stated Problem

Abstract The basic assumption for the present paper is the single load condition. In other aspects the stated problem is rather general and the important issue of local stability is taken into account. Even for this problem we can always find a statically determined topology that will minimize the cost of the structure. The constraints of the optimization problem are allowable stresses, with the allowable compressive stresses being design-dependent. Supports are treated as design variables, and cost of a possible support can be given within the same generality as cost of truss members. The formulation is given in terms of bar forces and a modified Simplex technique is developed for the numerical solution.

Local stability of trusses in the context of topology optimization, Parts I and II

2000 ◽  
Vol 19 (3) ◽  
pp. 249-251
Author(s):  
J. Farkas ◽  
K. Jármai ◽  
W. Achtziger ◽  
G.I.N. Rozvany
Keyword(s):  
Topology Optimization ◽  
Local Stability

Numerical Analysis of the Age-Sex-Structured Population Dynamics Taking into Account Spatial Diffusion

2005 ◽  
Vol 10 (4) ◽  
pp. 365-381 ◽  
Author(s):  
Š. Repšys ◽  
V. Skakauskas
Keyword(s):  
Population Dynamics ◽  
Numerical Analysis ◽  
Population Model ◽  
Local Stability ◽  
Deterministic Model ◽  
Random Mating ◽  
Spatial Diffusion ◽  
Neumann Problems ◽  
Structured Population ◽  
Structured Population Dynamics

We present results of the numerical investigation of the homogenous Dirichlet and Neumann problems to an age-sex-structured population dynamics deterministic model taking into account random mating, female’s pregnancy, and spatial diffusion. We prove the existence of separable solutions to the non-dispersing population model and, by using the numerical experiment, corroborate their local stability.

Topology Optimization of IPM Motors using Fourier Series

2017 ◽  
Vol 137 (3) ◽  
pp. 245-253
Author(s):  
Hidenori Sasaki ◽  
Hajime Igarashi
Keyword(s):  
Fourier Series ◽  
Topology Optimization

Topology Optimization of Superconducting Electromagnets for Particle Accelerators

2019 ◽  
Vol 139 (9) ◽  
pp. 568-575
Author(s):  
Yusuke Sakamoto ◽  
Daisuke Ishizuka ◽  
Tetsuya Matsuda ◽  
Kazuhiro Izui ◽  
Shinji Nishiwaki
Keyword(s):  
Topology Optimization ◽  
Particle Accelerators
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