Active Contours With Stochastic Fronts and Mechanical Topology Optimization

2013 ◽  
Vol 135 (4) ◽  
Author(s):  
Alireza Kasaiezadeh ◽  
Amir Khajepour

Active contours with stochastic fronts (ACSF) is developed and investigated in this article to address the dependency of the existing algorithms of topology optimization on the initial guesses. The promising results of ACSF confirms that the use of this approach leads to higher chance of escaping from local solutions compared to the classic level set method. ACSF as a special case of the stochastic active contours (SAC), has a simplified structure that makes its implementation easier, and at the same time it has a rigorous mathematical proof of convergence. Although propitious, there is still a slight chance of trapping scenarios for ACSF that is observed in the presented results.

2017 ◽  
Vol 351 ◽  
pp. 437-454 ◽  
Author(s):  
Feifei Chen ◽  
Yiqiang Wang ◽  
Michael Yu Wang ◽  
Y.F. Zhang

2016 ◽  
Vol 2016 ◽  
pp. 1-14 ◽  
Author(s):  
Wenhui Zhang ◽  
Yaoting Zhang

The local level set method (LLSM) is higher than the LSMs with global models in computational efficiency, because of the use of narrow-band model. The computational efficiency of the LLSM can be further increased by avoiding the reinitialization procedure by introducing a distance regularized equation (DRE). The numerical stability of the DRE can be ensured by a proposed conditionally stable difference scheme under reverse diffusion constraints. Nevertheless, the proposed method possesses no mechanism to nucleate new holes in the material domain for two-dimensional structures, so that a bidirectional evolutionary algorithm based on discrete level set functions is combined with the LLSM to replace the numerical process of hole nucleation. Numerical examples are given to show high computational efficiency and numerical stability of this algorithm for topology optimization.


Author(s):  
Alireza Kasaiezadeh ◽  
Amir Khajepour ◽  
Armaghan Salehian

This article introduces a novel algorithm in topology optimization of mechanical structures to achieve a desired compliance using the level set method. In contrast with the literature in this area that attempts to minimize the compliance of a structure, the present study concerns with an innovative formulation to reach a desired compliance. It is shown that a more comprehensive technique is required to achieve this goal.


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