Topology optimization of continuum supporting structures for microwave antenna applications
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RESEARCH PAPER
Topology optimization of continuum supporting structures for microwave antenna applications Shuxin Zhang 1 & Baoyan Duan 1 Received: 16 December 2019 / Revised: 29 March 2020 / Accepted: 15 April 2020 # Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract In microwave antenna applications, continuum structures usually support attached functional surfaces to realize some specific electromagnetic performance. Topology optimization of continuum supporting structures with functional surfaces is a challenge for microwave antenna applications. By introducing the concept of aperture field distribution into the design domain, a weighting approach for the topology optimization of continuum supporting structures with functional surfaces is presented based on the SIMP model. With the weighting aperture field distribution, the objective function of compliance in the previous SIMP method is changed to a weighted compliance. By selecting an optimized control factor, a different truss topology structure with several components from the previous method is clearly obtained. The effectiveness of the proposed method is validated through three typical applications: array antennas, reflector antennas, and conformal antennas with planar and curved functional surfaces. Keywords Topology optimization . Antennas . Functional surfaces . Continuum supporting structures
1 Introduction Topology optimization is usually performed in the preliminary design stage to provide an optimal material distribution for continuum structures. Since the pioneering work of Bendsoe and Kikuchi (1988), various topology optimization methods have been successfully applied to diverse continuum structures. The classic example is to minimize the compliance with a constraint on the total amount of material (Andreassen et al. 2011). Among the various continuum structures, electronic devices for microwave antenna applications, which have attached functional surfaces to realize their specific electromagnetic performance, play significant roles in engineering (Duan et al. 2017; Yuan et al. 2017). The continuum supporting structures provide backup support by helping the attached functional surfaces fulfill the antenna performance. There are various numerical methods that can be adopted in the Responsible Editor: Emilio Carlos Nelli Silva * Shuxin Zhang [email protected] 1
Key Laboratory of Electronic Equipment Structure Design (Ministry of Education), Xidian University, Xi’an 710071, Shaanxi, China
topology optimization of microwave antennas, such as the solid isotropic material with penalization (SIMP) method (Sigmund 2001), the evolutionary structural optimization (ESO) method (Yang et al. 2005), and the level-set method (Challis 2010; Emmendoerfer et al. 2020). Some studies on the topology optimization of antennas have been carried out by the above numerical methods. A method for optimizing the performance of an electrically small antenna formed by a conductor pattern on the surface of an empty sphere is described by Erentok and Si
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