Local stability of trusses in the context of topology optimization Part II: A numerical approach

1999 ◽  
Vol 17 (4) ◽  
pp. 247-258 ◽  
Author(s):  
W. Achtziger
Keyword(s):  
Topology Optimization ◽  
Local Stability ◽  
Numerical Approach

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

Topology optimization of rotor poles in a permanent-magnet machine using level set method and continuum design sensitivity analysis

2014 ◽  
Vol 33 (3) ◽  
pp. 711-728 ◽  
Author(s):  
Piotr Putek ◽  
Piotr Paplicki ◽  
Ryszard Pałka
Keyword(s):  
Sensitivity Analysis ◽  
Topology Optimization ◽  
Permanent Magnet ◽  
Level Set Method ◽  
Level Set ◽  
Numerical Approach ◽  
Design Sensitivity ◽  
Optimization Process ◽  
Content Type ◽  
Rotor Poles

Purpose – In this paper, a numerical approach to the topology optimization is proposed to design the permanent magnet excited machines with improved high-speed features. For this purpose the modified multi-level set method (MLSM) was proposed and applied to capture the shape of rotor poles on the fixed mesh using FE analysis. The paper aims to discuss these issues. Design/methodology/approach – This framework is based on theories of topological and shape derivative for the magnetostatic system. During the iterative optimization process, the shape of rotor poles and its evolution is represented by the level sets of a continuous level set function f. The shape optimization of the iron and the magnet rotor poles is provided by the combining continuum design sensitivity analysis with level set method. Findings – To obtain an innovative design of the rotor poles composed of different materials, the modified MLSM is proposed. An essential advantage of the proposed method is its ability to handle a topology change on a fixed mesh by the nucleating a small hole in design domain that leads to more efficient computational scheme then standard level set method. Research limitations/implications – The proposed numerical approach to the topology design of the 3D model of a PM machine is based on the simplified 2D model under assumption that the eddy currents in both the magnet and iron parts are neglected. Originality/value – The novel aspect of the proposed method is the incorporation of the Total Variation regularization in the MLSM, which distribution is additionally modified by the gradient derivative information, in order to stabilize the optimization process and penalize oscillations without smoothing edges.

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
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