Topology optimization with meshless density variable approximations and BESO method

2014 ◽  
Vol 56 ◽  
pp. 1-10 ◽  
Author(s):  
Fei Zhao
Keyword(s):  
Topology Optimization ◽  
Beso Method

Evolutionary Topology Optimization of Spatial Steel-Concrete Structures

2021 ◽  
Vol 62 (2) ◽  
pp. 102-112
Author(s):  
Yu Li ◽  
Yi Min Xie
Keyword(s):  
Topology Optimization ◽  
Composite Structures ◽  
Optimization Technique ◽  
Optimization Techniques ◽  
Principal Stresses ◽  
Element Analysis ◽  
Floor Systems ◽  
Beso Method ◽  
Multiple Materials ◽  
Single Material

Topology optimization techniques based on finite element analysis have been widely used in many fields, but most of the research and applications are based on single-material structures. Extended from the bi-directional evolutionary structural optimization (BESO) method, a new topology optimization technique for 3D structures made of multiple materials is presented in this paper. According to the sum of each element's principal stresses in the design domain, a material more suitable for this element would be assigned. Numerical examples of a steel- concrete cantilever, two different bridges and four floor systems are provided to demonstrate the effectiveness and practical value of the proposed method for the conceptual design of composite structures made of steel and concrete.

Research on Evolutionary Topology Optimization in ANSYS

2013 ◽  
Vol 572 ◽  
pp. 547-550 ◽  
Author(s):  
Dong Yan Shi ◽  
Jia Shan Han ◽  
Ling Cheng Kong ◽  
Lin Lin
Keyword(s):  
Topology Optimization ◽  
Optimization Method ◽  
Secondary Development ◽  
Filter Method ◽  
Ansys Software ◽  
Evolutionary Structural Optimization ◽  
Elemental Sensitivity ◽  
Beso Method ◽  
Optimization Function ◽  
2D And 3D

Topology optimization function in ANSYS software is inefficient with the limitation of element types. By using the secondary developing language APDL and UIDL, the secondary development of bi-directional evolutionary structural optimization (BESO) method with volume constraint and stiffness maximization is completed in ANSYS. To suppress the checkerboard patterns, the elemental sensitivity numbers are recalculated by a filter method. To ensure the convergence of the optimization method in ANSYS, the elemental sensitivity numbers are updated by adding in their historical information. Two classic numerical examples are calculated to obtain the best topology structure. The numerical results indicate that the secondary method can solve the 2D and 3D problems effectively, which makes up for the deficiency of topology optimization part in ANSYS and broadens the application scope of the evolutionary optimization method.

Topology optimization of continuum structures with uncertain-but-bounded parameters for maximum non-probabilistic reliability of frequency requirement

2015 ◽  
Vol 23 (16) ◽  
pp. 2557-2566 ◽  
Author(s):  
Bin Xu ◽  
Lei Zhao ◽  
Yi Min Xie ◽  
Jiesheng Jiang
Keyword(s):  
Topology Optimization ◽  
Reliability Index ◽  
Optimization Problems ◽  
Mass Density ◽  
Limit State ◽  
Optimization Procedure ◽  
State Equation ◽  
Outer Loop ◽  
Continuum Structures ◽  
Beso Method

A method for the non-probabilistic reliability optimization on frequency of continuum structures with uncertain-but-bounded parameters is proposed. The objective function is to maximize the non-probabilistic reliability index of frequency requirement.The corresponding bi-level optimization model is built, where the constraints are applied on the material volume in the outer loop and the limit state equation in the inner loop. The non-probabilistic reliability index of frequency requirement is derived by the analytical method for the continuum structure with the uncertain elastic module and mass density. Further, the sensitivity of the non-probabilistic reliability index with respect to the design variables is analyzed. The topology optimization in the outer loop is performed by a bi-directional evolutionary structural optimization (BESO) method, where the numerical techniques and the optimization procedure of BESO method are presented. Numerical results show that the proposed BESO method is efficient, and convergent optimal solutions can be achieved for a variety of optimization problems on frequency non-probabilistic reliability of continuum structures.

Topology optimization for 3D microstructures of viscoelastic composite materials

2021 ◽  
Author(s):  
Jianglin Yang ◽  
Shiyang Zhang ◽  
Jian Li
Keyword(s):  
Composite Material ◽  
Topology Optimization ◽  
Viscoelastic Material ◽  
Effective Properties ◽  
Vibration Damping ◽  
Homogenization Theory ◽  
Viscoelastic Composite ◽  
Viscoelastic Composite Material ◽  
High Stiffness ◽  
Beso Method

Abstract Materials with high stiffness and good vibration damping properties are of great industrial interest. In this paper, a topology optimization algorithm based on the BESO method is applied to design viscoelastic composite material by adjusting its 3D microstructures. The viscoelastic composite material is assumed to be composed of a non-viscoelastic material with high stiffness and a viscoelastic material with good vibration damping. The 3D microstructures of the composite are uniformly represented by corresponding periodic unit cells (PUCs). The effective properties of the 3D PUC are extracted by the homogenization theory. The optimized properties of the composites and the optimal microscopic layout of the two materials phases under the conditions of maximum stiffness and maximum damping are given by several numerical examples.

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