Topology optimization of magnetic cores for WPT using the geometry projection method

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Yoshitsugu Otomo ◽  
Hajime Igarashi
Keyword(s):  
Topology Optimization ◽  
Projection Method ◽  
Optimization Method ◽  
Magnetic Core ◽  
Material Distribution ◽  
Coupling Coefficients ◽  
Content Type ◽  
Magnetic Cores ◽  
Geometry Projection ◽  
Topology Optimization Method

Purpose The purpose of this study is to search for an optimal core shape that is robust against misalignment between the transmitting and receiving coils of the wireless power transfer (WPT) device. During the optimization process, the authors maximize the coupling coefficients while minimizing the leakage flux around the coils to ensure the safety of the WPT device. Design/methodology/approach In this study, a novel topology optimization method for WPT devices using the geometry projection method is proposed to optimize the magnetic core shape. This method facilitates the generation of bar-shaped magnetic cores because the material distribution is represented by a set of elementary bars. Findings It is shown that an optimized core shape, which is obtained through topology optimization, effectively increases the net magnetic flux interlinked with the receiving coil and outperforms the conventional core. Originality/value In the previous topology optimization method, the material distribution is represented by a linear combination of Gaussian functions. However, this method does not usually result in bar-shaped cores, which are widely used in WPT. In this study, the authors propose a novel topology optimization method for WPT devices using geometry projection that is used in structural optimization, such as beam and cantilever shapes.

A Topology Optimization Method for the Design of Orthotropic Plate Structures

2020 ◽  
Author(s):  
Hollis Smith ◽  
Julian Norato
Keyword(s):  
Topology Optimization ◽  
Projection Method ◽  
Anisotropic Material ◽  
Optimization Method ◽  
Rectangular Plates ◽  
Material Anisotropy ◽  
Fixed Amount ◽  
Plate Structures ◽  
Geometry Projection ◽  
Topology Optimization Method

Abstract This work introduces a topology optimization method for the design of structures composed of rectangular plates each of which is made of a predetermined anisotropic material. This work builds upon the geometry projection method with two notable additions. First, a novel geometric parameterization of plates represented by offset surfaces is formulated that is simpler than the one used in previous works. Second, the formulation presented herein adds support to the geometry projection method for geometric components with general anisotropic material properties. A design-generation framework is formulated that produces optimal designs composed exclusively of rectangular plates that may be made of a predetermined, generally anisotropic material. The efficacy of the proposed method is demonstrated with a numerical example comparing optimal cantilever beam designs obtained using isotropic- and orthotropic-material plates. For this example, we maximize the stiffness of the structure for a fixed amount of material. The example reveals the importance of considering material anisotropy in the design of plate structures. Moreover, it is demonstrated that an optimally stiff design for plates made of an isotropic material can exhibit detrimental performance if the plates are naively replaced with an anisotropic material. Although the example given in this work is in the context of orthotropic plates, since the formulation presented in this work supports arbitrary anisotropic materials, it may be readily extended to support the design of each component’s material anisotropy as a part of the optimization routine.

scholarly journals Design and Development of a Compliant Clutch Fork using Topology Optimization

2019 ◽  
Vol 8 (11) ◽  
pp. 3625-3629
Keyword(s):  
Topology Optimization ◽  
Compliant Mechanisms ◽  
Optimization Method ◽  
Automotive Application ◽  
Material Distribution ◽  
Optimum Size ◽  
Elastic Continuum ◽  
Active Research ◽  
Design Experiments ◽  
Topology Optimization Method

Compliant mechanisms and its systems are the focus of the active research. It describes a single elastic continuum used to transfer the motion and force mechanically. Their flexibility and stabilities are significant. Topology optimization Method is taken for designing the compliant mechanisms. It is a Material distribution approach for finding the optimum size and shape of the structure. The Author focused mainly on automotive application of Compliant Mechanism.i.e Design and implement of compliant clutch fork using topology optimization. Dimensional data is gathered in order to model the actual clutch fork. Compliant clutch fork designs are developed by reducing the weights compare to actual clutch fork with the help of topology optimization to get optimal compliant design. Experiments are directed to confirm the functionality of compliant clutch fork.

scholarly journals Failure analysis of a re-design knuckle using topology optimization

2019 ◽  
Vol 10 (2) ◽  
pp. 465-473 ◽  
Author(s):  
Yung-Chuan Chen ◽  
Hsing-Hui Huang ◽  
Chen-Wei Weng
Keyword(s):  
Finite Element ◽  
Topology Optimization ◽  
Fatigue Life ◽  
Optimization Method ◽  
Fe Model ◽  
Material Distribution ◽  
Systematic Design ◽  
Systematic Method ◽  
Iso 8608 ◽  
Topology Optimization Method

Abstract. In this study, a systematic design process is carried out for the design of the knuckle. A systematic method is proposed for the design and analysis of a lightweight steering knuckle in an electric vehicle. In the proposed approach, a finite element (FE) model of the knuckle is constructed based on an inspection of the suspension and steering requirements of the target vehicle and the results of a kinematic analysis. A two-stage topology optimization method is then applied to refine the material distribution within the FE model in such a way as to minimize the knuckle weight. Finally, FE simulations are performed to evaluate the strength of the knuckle under road impact conditions and to determine the fatigue life of the knuckle for four ISO 8608 road classes (A–D). The results show that the optimized knuckle has a weight of 3.64 kg (approximately 6.2 % lighter than the original knuckle of the same strength and material) and achieves fatigue lives of 2.512×1011, 2.972×108, 5.598×103 and 2.432×101 cycles for road classes A, B, C and D, respectively.

Multiscale concurrent topology optimization of structures and microscopic multi-phase materials for thermal conductivity

2019 ◽  
Vol 36 (1) ◽  
pp. 126-146 ◽  
Author(s):  
Daicong Da ◽  
Xiangyang Cui ◽  
Kai Long ◽  
Yong Cai ◽  
Guangyao Li
Keyword(s):  
Thermal Conductivity ◽  
Topology Optimization ◽  
Optimization Method ◽  
Content Type ◽  
Conductive Path ◽  
Concurrent Topology Optimization ◽  
Topological Design ◽  
Representative Unit Cell ◽  
Multi Phase ◽  
Topology Optimization Method

PurposeThe optimal material microstructures in pure material design are no longer efficient or optimal when accounting macroscopic structure performance with specific boundary conditions. Therefore, it is important to provide a novel multiscale topology optimization framework to tailor the topology of structure and the material to achieve specific applications. In comparison with porous materials, composites consisting of two or more phase materials are more attractive and advantageous from the perspective of engineering application. This paper aims to provide a novel concurrent topological design of structures and microscopic materials for thermal conductivity involving multi-material topology optimization (material distribution) at the lower scale.Design/methodology/approachIn this work, the effective thermal conductivity properties of microscopic three or more phase materials are obtained via homogenization theory, which serves as a bridge of the macrostructure and the periodic material microstructures. The optimization problem, including the topological design of macrostructures and inverse homogenization of microscopic materials, are solved by bi-directional evolutionary structure optimization method.FindingsAs a result, the presented framework shows high stability during the optimization process and requires little iterations for convergence. A number of interesting and valid macrostructures and material microstructures are obtained in terms of optimal thermal conductive path, which verify the effectiveness of the proposed mutliscale topology optimization method. Numerical examples adequately consider effects of initial guesses of the representative unit cell and of the volume constraints of adopted base materials at the microscopic scale on the final design. The resultant structures at both the scales with clear and distinctive boundary between different phases, making the manufacturing straightforward.Originality/valueThis paper presents a novel multiscale concurrent topology optimization method for structures and the underlying multi-phase materials for thermal conductivity. The authors have carried out the concurrent multi-phase topology optimization for both 2D and 3D cases, which makes this work distinguished from existing references. In addition, some interesting and efficient multi-phase material microstructures and macrostructures have been obtained in terms of optimal thermal conductive path.

scholarly journals Topology Optimization of Hard-Coating Thin Plate for Maximizing Modal Loss Factors

Coatings ◽  
2021 ◽  
Vol 11 (7) ◽  
pp. 774
Author(s):  
Haitao Luo ◽  
Rong Chen ◽  
Siwei Guo ◽  
Jia Fu
Keyword(s):  
Topology Optimization ◽  
Objective Function ◽  
Composite Plates ◽  
Optimization Method ◽  
Hard Coating ◽  
Design Variables ◽  
Coating Composite ◽  
Damping Materials ◽  
Topology Optimization Method ◽  
Loss Factors

At present, hard coating structures are widely studied as a new passive damping method. Generally, the hard coating material is completely covered on the surface of the thin-walled structure, but the local coverage cannot only achieve better vibration reduction effect, but also save the material and processing costs. In this paper, a topology optimization method for hard coated composite plates is proposed to maximize the modal loss factors. The finite element dynamic model of hard coating composite plate is established. The topology optimization model is established with the energy ratio of hard coating layer to base layer as the objective function and the amount of damping material as the constraint condition. The sensitivity expression of the objective function to the design variables is derived, and the iteration of the design variables is realized by the Method of Moving Asymptote (MMA). Several numerical examples are provided to demonstrate that this method can obtain the optimal layout of damping materials for hard coating composite plates. The results show that the damping materials are mainly distributed in the area where the stored modal strain energy is large, which is consistent with the traditional design method. Finally, based on the numerical results, the experimental study of local hard coating composites plate is carried out. The results show that the topology optimization method can significantly reduce the frequency response amplitude while reducing the amount of damping materials, which shows the feasibility and effectiveness of the method.

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