A Systems Approach to Structural Topology Optimization: Designing Optimal Connections

1996 ◽  
Author(s):  
Tao Jiang ◽  
Mehran Chirehdast
Keyword(s):  
Topology Optimization ◽  
Design Problem ◽  
Large Scale ◽  
Optimization Problem ◽  
Systems Design ◽  
Mathematical Programming Problem ◽  
Structural Topology Optimization ◽  
Structural Topology ◽  
Topology Optimization Problem ◽  
Wide Range

Abstract In this paper, structural topology optimization is extended to systems design. Locations and patterns of connections in a structural system that consists of multiple components strongly affect its performance. Topology of connections is defined, and a new classification for structural optimization is introduced that includes the topology optimization problem for connections. A mathematical programming problem is formulated that addresses this design problem. A convex approximation method using analytical gradients is used to solve the optimization problem. This solution method is readily applicable to large-scale problems. The design problem presented and solved here has a wide range of applications in all areas of structural design. The examples provided here are for spot-weld and adhesive bond joints. Numerous other potential applications are suggested.

A Systems Approach to Structural Topology Optimization: Designing Optimal Connections

1997 ◽  
Vol 119 (1) ◽  
pp. 40-47 ◽  
Author(s):  
T. Jiang ◽  
M. Chirehdast
Keyword(s):  
Topology Optimization ◽  
Design Problem ◽  
Large Scale ◽  
Optimization Problem ◽  
Systems Design ◽  
Mathematical Programming Problem ◽  
Structural Topology Optimization ◽  
Structural Topology ◽  
Topology Optimization Problem ◽  
Wide Range

In this paper, structural topology optimization is extended to systems design. Locations and patterns of connections in a structural system that consists of multiple components strongly affect its performance. Topology of connections is defined, and a new classification for structural optimization is introduced that includes the topology optimization problem for connections. A mathematical programming problem is formulated that addresses this design problem. A convex approximation method using analytical gradients is used to solve the optimization problem. This solution method is readily applicable to large-scale problems. The design problem presented and solved here has a wide range of applications in all areas of structural design. The examples provided here are for spot-weld and adhesive bond joints. Numerous other potential applications are suggested.

Structural Topology Optimization with Dynamic Response Based on Independent Continuous Mapping Method

2013 ◽  
Vol 765-767 ◽  
pp. 1658-1661
Author(s):  
Hong Ling Ye ◽  
Yao Ming Li ◽  
Yan Ming Zhang ◽  
Yun Kang Sui
Keyword(s):  
Topology Optimization ◽  
Optimization Problem ◽  
Continuous Mapping ◽  
Harmonic Excitation ◽  
Mapping Method ◽  
Multiple Response ◽  
Structural Topology Optimization ◽  
Structural Topology ◽  
Topology Optimization Problem ◽  
Dual Sequence

This paper refer to weight as objective and subject to multiple response amplitude of the harmonic excitation. The ICM method is employed for solving the topology optimization problem and dual sequence quadratic programming (DSQP) is effective to solve the algorithm. A numerical example was presented and demonstrated the validity and effectiveness of the ICM method.

scholarly journals Structural Topology Design Optimization Using the Binary Bat Algorithm

2020 ◽  
Vol 10 (4) ◽  
pp. 1481 ◽  
Author(s):  
Abdulkhaliq A. Jaafer ◽  
Mustafa Al-Bazoon ◽  
Abbas O. Dawood
Keyword(s):  
Topology Optimization ◽  
Penalty Function ◽  
Large Scale ◽  
Optimization Problems ◽  
Bat Algorithm ◽  
Topology Design ◽  
Benchmark Problems ◽  
Structural Topology Optimization ◽  
Structural Topology ◽  
Filtering Algorithm

In this study, the binary bat algorithm (BBA) for structural topology optimization is implemented. The problem is to find the stiffest structure using a certain amount of material and some constraints using the bit-array representation method. A new filtering algorithm is proposed to make BBA find designs with no separated objects, no checkerboard patterns, less unusable material, and higher structural performance. A volition penalty function for topology optimization is also proposed to accelerate the convergence toward the optimal design. The main effect of using the BBA lies in the fact that the BBA is able to handle a large number of design variables in comparison with other well-known metaheuristic algorithms. Based on the numerical results of four benchmark problems in structural topology optimization for minimum compliance, the following conclusions are made: (1) The BBA with the proposed filtering algorithm and penalty function are effective in solving large-scale numerical topology optimization problems (fine finite elements mesh). (2) The proposed algorithm produces solid-void designs without gray areas, which makes them practical solutions that are applicable in manufacturing.

Two-Dimensional Structural Topology Optimization Based on Isogeometric Analysis

2014 ◽  
Vol 472 ◽  
pp. 475-479 ◽  
Author(s):  
Guang Yu Qiu ◽  
Ping Hu ◽  
Wei Zhou
Keyword(s):  
Topology Optimization ◽  
Isogeometric Analysis ◽  
Optimization Problem ◽  
Structural Topology Optimization ◽  
Two Dimensional ◽  
Structural Topology ◽  
Element Analysis ◽  
Design Variables ◽  
Element Density ◽  
Moving Asymptotes

In this paper, the isogeometric analysis is applied to two-dimensional structural topology optimization instead of traditional finite element analysis. By treating the corresponding element density of knot spans as design variables, the topology optimization model is formulated based on SIMP method. Then the optimization problem is solved using the method of moving asymptotes. As demonstrated by examples, the proposed method can be used for two-dimensional topology optimization. And the results show that checkerboard patterns can be controlled.

Structural Topology Optimization Using a Moving Morphable Component-Based Method Considering Geometrical Nonlinearity

2018 ◽  
Vol 140 (8) ◽  
Author(s):  
Benliang Zhu ◽  
Qi Chen ◽  
Rixin Wang ◽  
Xianmin Zhang
Keyword(s):  
Topology Optimization ◽  
Design Problem ◽  
Strong Influence ◽  
Geometrical Nonlinearity ◽  
Optimization Process ◽  
Geometrically Nonlinear ◽  
Nonlinear Structures ◽  
Structural Topology Optimization ◽  
Structural Topology ◽  
Numerical Examples

The moving morphable component (MMC)-based method is a newly developed approach for topology optimization. In the MMC-based method, the design problem is formulated using a set of morphable components, and the optimized structural topologies are obtained by optimizing shapes, sizes, and locations of these components. However, the optimization process often tends to break the connection between the load area and the supported boundary. This disconnection has a strong influence on the convergence, especially when the large deformation effects are considered. In this paper, a method is developed for topology optimization of geometrically nonlinear structures by using the MMC-based method. A scheme is developed to address the disconnection issue in the optimization process. Several numerical examples are used to demonstrate the validity of the proposed method.

A Variational Binary Level Set Method for Structural Topology Optimization

2013 ◽  
Vol 13 (5) ◽  
pp. 1292-1308 ◽  
Author(s):  
Xiaoxia Dai ◽  
Peipei Tang ◽  
Xiaoliang Cheng ◽  
Minghui Wu
Keyword(s):  
Topology Optimization ◽  
Level Set Method ◽  
Level Set ◽  
Fast Algorithm ◽  
Optimization Problem ◽  
Optimal Solution ◽  
Structural Topology ◽  
Piecewise Constant ◽  
Topology Optimization Problem ◽  
And Topology

AbstractThis paper proposes a variational binary level set method for shape and topology optimization of structural. First, a topology optimization problem is pre-sented based on the level set method and an algorithm based on binary level set method is proposed to solve such problem. Considering the difficulties of coordination between the various parameters and efficient implementation of the proposed method, we present a fast algorithm by reducing several parameters to only one parameter, which would substantially reduce the complexity of computation and make it easily and quickly to get the optimal solution. The algorithm we constructed does not need to re-initialize and can produce many new holes automatically. Furthermore, the fast algorithm allows us to avoid the update of Lagrange multiplier and easily deal with constraints, such as piecewise constant, volume and length of the interfaces. Finally, we show several optimum design examples to confirm the validity and efficiency of our method.

Structural Topology for Crashworthiness Design by Matching Plastic Strain and Stress Levels

2001 ◽  
Author(s):  
Ciro A. Soto
Keyword(s):  
Plastic Strain ◽  
Optimization Problem ◽  
Structural Topology Optimization ◽  
Structural Topology ◽  
Practical Applications ◽  
Topology Optimization Problem ◽  
Optimization Formulation ◽  
Crashworthiness Design ◽  
Gradient Based ◽  
New Formulation

Abstract This paper presents a new formulation for the structural topology optimization problem under crashworthiness conditions. The objective of the optimization problem is to match levels of plastic strain and stress to prescribed values while having a weight constraint under consideration. The problem is solved by using a non-gradient based algorithm that allows to reach near to the optimum in a quick fashion. An example is presented to illustrate the optimization formulation. Results show that the formulation and algorithm are suitable for practical applications.

Fully parallel level set method for large-scale structural topology optimization

2019 ◽  
Vol 221 ◽  
pp. 13-27 ◽  
Author(s):  
Hui Liu ◽  
Ye Tian ◽  
Hongming Zong ◽  
Qingping Ma ◽  
Michael Yu Wang ◽  
...  
Keyword(s):  
Topology Optimization ◽  
Level Set Method ◽  
Level Set ◽  
Large Scale ◽  
Structural Topology Optimization ◽  
Structural Topology
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