The evolutionary structural optimization method: theoretical aspects

By P. Tanskanen. 2002

213 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/7827bf11cb46d35b3c3e7ec99dc24a97c5ed1db5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Convergent and mesh-independent solutions for the bi-directional evolutionary structural optimization method (2007, methodology): “Theoretically, it is noted that the sequential linear programming (SLP)-based approximate optimization method followed by the Simplex algorithm is equivalent to ESO/BESO [13].”
A critical review of established methods of structural topology optimization (2009, methodology): “For some unknown reason, Tanskanen (2002) deviates from this established practice and makes compliance equal to the total strain energy, which is half the magnitude of the usual compliance value.”
Structural Shape and Topology Optimization Using an Implicit Free Boundary Parametrization Method (2006, methodology): “For most applications, it is important to use a high order discretization method in the reinitialization algorithms [Tsai and Osher (2003)] since the location of the original interface may be perturbed apparently by the numerical diffusion. Furthermore, global reinitialization in the computational d”
Bi-directional Evolutionary Structural Optimization on Advanced Structures and Materials: A Comprehensive Review (2016, methodology): “It has been reported that the ESO method is equivalent to a sequential linear programming approximate method when the strain energy is adopted as the update criterion [135].”
An enhanced genetic algorithm for structural topology optimization (2006, methodology): “However, it is only an intuitive method without a proof of optimality and it may also easily lead to a non-optimal design [3, 16, 17] and more recently it has been recommended that ESO should be applied to structural problems having pin-jointed connections since ESO appears to produce truss-like top”
Evolutionary topology optimization of continuum structures with an additional displacement constraint (2009, background): “reviewed by Rozvany (Rozvany 2008; Tanskanen 2002; Edwards et al. 2007).”
A new look at ESO and BESO optimization methods (2007, methodology): “Theoretically, it is noted that the sequential linear programming (SLP)-based approximate optimization method followed by the Simplex algorithm is equivalent to ESO/BESO (Tanskanen 2002).”
Optimal design of periodic structures using evolutionary topology optimization (2008, methodology): “Theoretically, it is noted that the sequential linear programmingbased approximate optimization method followed by the Simplex algorithm is equivalent to ESO/BESO (Tanskanen 2002). However, had the optimization problem been solved with a periodic constraint, the structure would still evolve to an op”
Geometrically constrained isogeometric parameterized level-set based topology optimization via trimmed elements (2016, methodology): “Many methods have been proposed in recent years to solve TO problems, such as homogenization methods [13,14], solid isotropic material with penalization (SIMP) methods [15,16], evolutionary structural optimization (ESO) methods [17,18] and level set methods (LSMs) [6,19,20].”
A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, background): “Therefore to solve multicriteria design problems using ESO/BESO, all responses of interest must be combined into a single function, in effect forming a multiobjective problem.”
Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials (2009, methodology): “It is noted that the sequential linear programming (SLP)-based approximate optimization method followed by the Simplex algorithm is equivalent to ESO/BESO if the strain energy criterion is utilized [ 15 ].”