Novel methodology of Non-probabilistic Reliability-based Topology Optimization (NRBTO) for multi-material layout design via interval and convex mixed uncertainties

2019 ◽  
Vol 346 ◽  
pp. 550-573 ◽  
Author(s):  
Lei Wang ◽  
Dongliang Liu ◽  
Yaowen Yang ◽  
Juxi Hu
Keyword(s):  
Topology Optimization ◽  
Layout Design ◽  
Material Layout ◽  
Mixed Uncertainties

scholarly journals A Comprehensive Review of Isogeometric Topology Optimization: Methods, Applications and Prospects

2020 ◽  
Vol 33 (1) ◽  
Author(s):  
Jie Gao ◽  
Mi Xiao ◽  
Yan Zhang ◽  
Liang Gao
Keyword(s):  
Topology Optimization ◽  
Computer Aided Design ◽  
Numerical Technique ◽  
Optimization Methods ◽  
Negative Influence ◽  
Comprehensive Overview ◽  
Promising Alternative ◽  
Computer Aided ◽  
Optimal Material ◽  
Material Layout

AbstractTopology Optimization (TO) is a powerful numerical technique to determine the optimal material layout in a design domain, which has accepted considerable developments in recent years. The classic Finite Element Method (FEM) is applied to compute the unknown structural responses in TO. However, several numerical deficiencies of the FEM significantly influence the effectiveness and efficiency of TO. In order to eliminate the negative influence of the FEM on TO, IsoGeometric Analysis (IGA) has become a promising alternative due to its unique feature that the Computer-Aided Design (CAD) model and Computer-Aided Engineering (CAE) model can be unified into a same mathematical model. In the paper, the main intention is to provide a comprehensive overview for the developments of Isogeometric Topology Optimization (ITO) in methods and applications. Finally, some prospects for the developments of ITO in the future are also presented.

scholarly journals Layout Design of Stiffened Plates for Large-Scale Box Structure under Moving Loads Based on Topology Optimization

2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Zhaohua Wang ◽  
Chenglong Yang ◽  
Xiaopeng Xu ◽  
Dezhuang Song ◽  
Fenghe Wu
Keyword(s):  
Topology Optimization ◽  
Large Scale ◽  
Load Transfer ◽  
Comprehensive Evaluation ◽  
Design Method ◽  
Layout Design ◽  
Stiffened Plates ◽  
Moving Loads ◽  
Box Structures ◽  
Box Structure

As the main load-bearing structure of heavy machine tools, cranes, and other high-end equipment, the large-scale box structures usually bear moving loads, and the results of direct topology optimization usually have some problems: the load transfer skeleton is difficult to identify and all working conditions are difficult to consider comprehensively. In this paper, a layout design method of stiffened plates for the large-scale box structures under moving loads based on multiworking-condition topology optimization is proposed. Based on the equivalent principle of force, the box structures are simplified into the main bending functional section, main torsional functional section, and auxiliary functional section by the magnitude of loads and moments, which can reduce the structural dimension and complexity in topology optimization. Then, the moving loads are simplified to some multiple position loads, and the comprehensive evaluation function is constructed by the compromise programming method. The mathematical model of multiworking-condition topology optimization is established to optimize the functional sections. Taking a crossbeam of superheavy turning and milling machining center as an example, optimization results show that the stiffness and strength of the crossbeam are increased by 17.39% and 19.9%, respectively, while the weight is reduced by 12.57%. It shows that the method proposed in this paper has better practicability and effectiveness for large-scale box structures.

Coupled Multi-Material and Joint Topology Optimization: A Proof of Concept

2018 ◽  
Author(s):  
Vlad Florea ◽  
Vishrut Shah ◽  
Stephen Roper ◽  
Garrett Vierhout ◽  
Il Yong Kim
Keyword(s):  
Topology Optimization ◽  
Cost Effective ◽  
Material Design ◽  
Optimization Methods ◽  
Manufacturing Constraints ◽  
Proof Of Concept ◽  
Efficient Design ◽  
Engineering Costs ◽  
Increasing Demand ◽  
Material Layout

Over the past decade there has been an increasing demand for light-weight components for the automotive and aerospace industries. This has led to significant advancement in Topology Optimization methods, especially in developing new algorithms which can consider multi-material design. While Multi-Material Topology Optimization (MMTO) can be used to determine the optimum material layout and choice for a given engineering design problem, it fails to consider practical manufacturing constraints. One such constraint is the practical joining of multi-component designs. In this paper, a new method will be proposed for simultaneously performing MMTO and Joint Topology Optimization (JTO). This algorithm will use a serial approach to loop through the MMTO and JTO phases to obtain a truly optimum design which considers both aspects. A case study is performed on an automotive ladder frame chassis component as a proof of concept for the proposed approach. Two loops of the proposed process resulted in a reduction of components and in the number of joints used between them. This translates into a tangible improvement in the manufacturability of the MMTO design. Ultimately, being able to consider additional manufacturing constraints in the Topology Optimization process can greatly benefit research and development efforts. A better design is reached with fewer iterations, thus driving down engineering costs. Topology Optimization can help in determining a cost effective and efficient design which address existing structural design challenges.

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.

Automatic Design in Matlab Using PDE Toolbox for Shape and Topology Optimization

2019 ◽  
Author(s):  
Yilun Sun ◽  
Lingji Xu ◽  
Jingru Yang ◽  
Tim C. Lueth
Keyword(s):  
Topology Optimization ◽  
Design Process ◽  
High Efficiency ◽  
Mechanical Performance ◽  
Optimization Techniques ◽  
Automatic Design ◽  
Medical Robots ◽  
Shape And Topology Optimization ◽  
And Topology ◽  
Material Layout

Abstract In this paper, we present a novel concept of using Matlab’s Partial Differential Equation (PDE) Toolbox to achieve shape and topology optimization during the automatic mechanical design process. In our institute, we are developing a toolbox called Solid Geometry (SG) Library in Matlab to achieve automatic design of medical robots and mechanisms. The entire design process is performed in one developing environment without additional data input and output. And those robots and mechanisms can be quickly manufactured by different kinds of 3D printers. Recently, we have also integrated the shape and topology optimization techniques into our automatic design process by using the PDE Toolbox of Matlab for finite element analysis because of its high efficiency and compactness. For optimization algorithms, we have already implemented two bionic structural optimization methods called Computer Aided Optimization (CAO) and Soft Kill Option (SKO) to optimize the stress distribution in the structure. Since the complicated material layout in the optimization results can be easily realized by the 3D printing technology, the mechanical performance of our medical robots and mechanisms can be greatly improved with the work presented in this paper.

Frequency-based dynamic topology optimization methodology for improved door closing sound quality

2019 ◽  
Vol 234 (7) ◽  
pp. 1311-1322 ◽  
Author(s):  
Gozde Tuncer ◽  
Polat Sendur
Keyword(s):  
Topology Optimization ◽  
Element Model ◽  
Optimization Method ◽  
Sound Quality ◽  
Sum Of Squares ◽  
Design Parameters ◽  
Design Constraint ◽  
Front Door ◽  
Optimization Methodology ◽  
Material Layout

Door closing sound quality of a vehicle has become one of the most important customer-related quality metrics in the recent years. There has been a vast amount of information on the design parameters contributing to this attribute in the literature. Amongst them, damping pad on the door outer panel emerges as one of the most significant factors on the door closing sound quality. In this paper, we apply solid isotropic material with penalization topology optimization method to determine the optimum material layout for within a given volume constraint on a front door of a typical vehicle. The objective function of the topology optimization is chosen as the minimization of residual sum of squares of the accelerance of the door outer panel up to 200 Hz. The optimization problem is subject to design constraint to use a predetermined percentage of the full damping pad. The methodology is demonstrated on the finite element model of front door of a Toyota vehicle. Two optimization case studies using 60% and 45% of the damping pad on the door outer panel are introduced as a result of the application of the proposed topology optimization methodology. In addition, more manufacturable optimization configurations with the same % of the damping pad are suggested as a means for more feasible application by automotive original equipment manufacturers. All the optimization configurations are compared to each other on (i) accelerance spectrum up to 200 Hz, (ii) residual sum of squares of the accelerance, and (iii) weight of the damping pad. The results show that it is possible to improve the aforementioned metrics significantly by the application of topology optimization.

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