Structural Topology Optimization Using Function-Oriented Elements Based on the Concept of First Order Analysis

2003 ◽  
Author(s):  
Akihiro Takezawa ◽  
Shinji Nishiwaki ◽  
Kazuhiro Izui ◽  
Masataka Yoshimura
Keyword(s):  
Topology Optimization ◽  
Mechanical Design ◽  
Optimization Method ◽  
Structural Topology Optimization ◽  
Structural Topology ◽  
Order Analysis ◽  
First Order ◽  
Design Engineers ◽  
Optimization Methodology ◽  
And Function

Computer Aided Engineering (CAE) has been successfully utilized in mechanical industries, but few mechanical design engineers use CAE tools that include structural optimization, since the development of such tools has been based on continuum mechanics that limit the provision of useful design suggestions at the initial design phase. In order to mitigate this problem, a new type of CAE based on classical structural mechanics, First Order Analysis (FOA), has been proposed. This paper presents the outcome of research concerning the development of a structural topology optimization methodology within FOA. This optimization method is constructed based on discrete and function-oriented elements such as beam and panel elements, and sequential convex programming. In addition, examples are provided to show the utility of the methodology presented here for mechanical design engineers.

F-0115 Structural Topology Optimization Based On First Order Analysis

2001 ◽  
Vol III.01.1 (0) ◽  
pp. 29-30
Author(s):  
Shinji Nishiwaki ◽  
Hidekazu Nishigaki ◽  
Yasuaki Tsurumi ◽  
Yoshio Kojima ◽  
Noboru Kikuchi
Keyword(s):  
Topology Optimization ◽  
Structural Topology Optimization ◽  
Structural Topology ◽  
Order Analysis ◽  
First Order

Topology Optimization in the Conceptual Design: Take the Frame of a Bender as Example

2011 ◽  
Vol 267 ◽  
pp. 297-301
Author(s):  
Yong Wang ◽  
Guo Niu Zhu ◽  
Bo Yu Sun
Keyword(s):  
Topology Optimization ◽  
Design Process ◽  
Mechanical Design ◽  
Cost Effective ◽  
Optimization Techniques ◽  
Structural Topology Optimization ◽  
Structural Topology ◽  
Effective Manner ◽  
Stress And Deformation ◽  
Design Proposal

The paper is concerned with topology optimization in the mechanical design process. The disadvantage of current process of mechanical design is discussed and a new design process based on structural topology optimization is presented. The design process with structural topology optimization in mechanical design is discussed by the example of the frame of a bender. Static analysis is made to the original model first according to the whole structure and working characteristic of the machine, the stress and deformation distribution are obtained and then topology optimization is carried out. On the basis of topology optimization, the layout of the initial design proposal is obtained and the weight of the frame is substantially reduced while the performance enhanced. The application of the method demonstrates that through innovative utilization of the topology optimization techniques, the conceptual proposals can be obtained and the overall mechanical design process can be improved substantially in a cost effective manner.

A NEW ELEMENT-BASED METHOD FOR SOLVING STRUCTURAL TOPOLOGY OPTIMIZATION PROBLEMS WITH NON-UNIFORM MESHES

2021 ◽  
Vol 8 (1) ◽  
Author(s):  
Kuang-Wu Chou ◽  
Chang-Wei Huang
Keyword(s):  
Topology Optimization ◽  
Optimization Problems ◽  
Optimization Method ◽  
Optimal Topology ◽  
Evolutionary Stage ◽  
Structural Topology Optimization ◽  
Volume Constraint ◽  
Structural Topology ◽  
Exchange Method ◽  
Python Scripting

This study proposes a new element-based method to solve structural topology optimization problems with non-uniform meshes. The objective function is to minimize the compliance of a structure, subject to a volume constraint. For a structure of a fixed volume, the method is intended to find a topology that could almost conform to the compliance minimum. The method is refined from the evolutionary switching method, whose policy of exchanging elements is improved by replacing some empirical decisions with ones according to optimization theories. The method has the evolutionary stage and the element exchange stage to conduct topology optimization. The evolutionary stage uses the evolutionary structural optimization method to remove inefficient elements until the volume constraint is satisfied. The element exchange stage performs a procedure refined from the element exchange method. Notably, the procedures of both stages are refined to conduct non-uniform finite element meshes. The proposed method was implemented to use the Abaqus Python scripting interface to call the services of Abaqus such as running analysis and retrieving the output database of an analysis. Numerical examples demonstrate that the proposed optimization method could determine the optimal topology of a structure that is subject to a volume constraint and whose mesh is non-uniform.

A CAD-oriented structural topology optimization method

2020 ◽  
Vol 239 ◽  
pp. 106324 ◽  
Author(s):  
Lipeng Jiu ◽  
Weihong Zhang ◽  
Liang Meng ◽  
Ying Zhou ◽  
Liang Chen
Keyword(s):  
Topology Optimization ◽  
Optimization Method ◽  
Structural Topology Optimization ◽  
Structural Topology ◽  
Topology Optimization Method

Topology Optimization of Bracing Systems for Multistory Steel Frames under Earthquake Loads

2011 ◽  
Vol 255-260 ◽  
pp. 2388-2393 ◽  
Author(s):  
Ji Zhuo Huang ◽  
Zhan Wang
Keyword(s):  
Topology Optimization ◽  
Weighted Average ◽  
Optimization Method ◽  
Layout Design ◽  
Computational Effort ◽  
Steel Frame ◽  
Structural Topology Optimization ◽  
Structural Topology ◽  
Earthquake Loads ◽  
Element Removal

Application of continuum structural topology optimization methods to the layout design of bracing systems for multistory steel frame buildings under earthquake loads is explored in this work. A weighted average strain energy sensitivity of element is formulated to be served as the element removal criterion in the optimization process, and then an ESO-based continuum structural topology optimization method for the layout design of multistory steel frame bracing systems subjected to earthquake-induced ground motions is presented. In each iterative design, an approximate reanalysis technique named CA method is adopted to reduce the computational effort. Finally, a design example is given to demonstrate the effectiveness of the presented optimization method for the optimal layout design of steel frame bracing systems under earthquake loads.

Analogy of Strain Energy Density Based Bone-Remodeling Algorithm and Structural Topology Optimization

2008 ◽  
Vol 131 (1) ◽  
Author(s):  
In Gwun Jang ◽  
Il Yong Kim ◽  
Byung Man Kwak
Keyword(s):  
Topology Optimization ◽  
Energy Density ◽  
Bone Remodeling ◽  
Strain Energy Density ◽  
Strain Energy ◽  
Optimization Method ◽  
Bone Adaptation ◽  
Structural Topology Optimization ◽  
Structural Topology ◽  
Topology Optimization Method

In bone-remodeling studies, it is believed that the morphology of bone is affected by its internal mechanical loads. From the 1970s, high computing power enabled quantitative studies in the simulation of bone remodeling or bone adaptation. Among them, Huiskes et al. (1987, “Adaptive Bone Remodeling Theory Applied to Prosthetic Design Analysis,” J. Biomech. Eng., 20, pp. 1135–1150) proposed a strain energy density based approach to bone remodeling and used the apparent density for the characterization of internal bone morphology. The fundamental idea was that bone density would increase when strain (or strain energy density) is higher than a certain value and bone resorption would occur when the strain (or strain energy density) quantities are lower than the threshold. Several advanced algorithms were developed based on these studies in an attempt to more accurately simulate physiological bone-remodeling processes. As another approach, topology optimization originally devised in structural optimization has been also used in the computational simulation of the bone-remodeling process. The topology optimization method systematically and iteratively distributes material in a design domain, determining an optimal structure that minimizes an objective function. In this paper, we compared two seemingly different approaches in different fields—the strain energy density based bone-remodeling algorithm (biomechanical approach) and the compliance based structural topology optimization method (mechanical approach)—in terms of mathematical formulations, numerical difficulties, and behavior of their numerical solutions. Two numerical case studies were conducted to demonstrate their similarity and difference, and then the solution convergences were discussed quantitatively.

A Structural Topology Optimization Method Using Beam Elements : Effect of Cross-Sectional Shape of Beam

2002 ◽  
Vol 2002.5 (0) ◽  
pp. 135-140
Author(s):  
Shinji Nishiwaki ◽  
Hidekazu Nishigaki ◽  
Yasuaki Tsurumi ◽  
Yoshio Kojima ◽  
Noboru Kikuchi ◽  
...  
Keyword(s):  
Topology Optimization ◽  
Optimization Method ◽  
Structural Topology Optimization ◽  
Structural Topology ◽  
Cross Sectional ◽  
Beam Elements ◽  
Sectional Shape ◽  
Topology Optimization Method

Structural Topology Optimization for Street Lamp Bracket

2011 ◽  
Vol 464 ◽  
pp. 655-659
Author(s):  
Yong Wang ◽  
Guo Niu Zhu ◽  
Zheng Wei Zhu
Keyword(s):  
Topology Optimization ◽  
Conceptual Design ◽  
Development Process ◽  
Positive Impact ◽  
Mechanical Design ◽  
Optimization Techniques ◽  
Structural Topology Optimization ◽  
Structural Topology ◽  
General Acceptance ◽  
Street Lamp

Structural topology optimization has got a general acceptance in recent years in mechanical design due to its powerful technique for conceptual design. The shortcoming of current development process of mechanical design is discussed and a new approach with structural topology optimization is put forward. The application of the method demonstrates that through innovative utilization of the topology optimization techniques, a multitude of conceptual design proposals based on the design space and design targets can be obtained and then a CAD model with high quality which has a positive impact on the development process is also available.

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