Integrated structural-electromagnetic optimization of cable mesh reflectors considering pattern degradation for random s
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RESEARCH PAPER
Integrated structural-electromagnetic optimization of cable mesh reflectors considering pattern degradation for random structural errors Shuxin Zhang 1
&
Baoyan Duan 1
Received: 19 June 2019 / Revised: 9 October 2019 / Accepted: 16 October 2019 # Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract To alleviate the effects of random structural errors on the radiation performance and directly guide the structural design of cable mesh reflectors, an integrated structural-electromagnetic optimization procedure is proposed considering the radiation pattern degradation for random structural errors. Based on analytical expressions and the structural sensitivity concept, the radiation pattern is directly expressed as two matrix-form functions with respect to the random structural errors. By applying the pattern calculation into the multidisciplinary design and selecting the average boresight directivity as the objective function, an optimum result with better radiation performance compared with the traditional structural design is obtained. To reveal the fundamentals of the optimum result, the concept of sensitivity analysis of the average boresight directivity with respect to the random structural errors is introduced. The effectiveness and benefits of this study are demonstrated via an offset cable mesh reflector. Keywords Cable mesh reflectors . Random structural errors . Integrated structural-electromagnetic design
1 Introduction As an important space antenna structure type, cable mesh reflectors play a significant role in remote sensing, telecommunication, and other space science applications (Chahat et al. 2016). In the space working environment, cable mesh reflectors are easily affected by systematic/deterministic surface errors, which result from exterior thermal or dynamic loads. In the manufacturing and assembling process, cable mesh reflectors also suffer from random surface errors, which are introduced by structural imperfections. To design a wellperforming antenna with good radiation pattern, random error characterization is usually required for reflector antennas (Chahat et al. 2016). To consider the pattern degradation for surface deterministic errors in the structural design, the traditional methods Responsible Editor: Raphael Haftka * Shuxin Zhang [email protected] 1
Key Laboratory of Electronic Equipment Structure Design (Ministry of Education), Xidian University, Xi’an 710071, Shaanxi, China
(Haftka and Adelman 1985, Tabata et al. 1992, Hill et al. 2013, Du et al. 2013, Yamaki et al. 2018) usually concentrate on the amplitude and distribution of the surface root-meansquare (rms) error, which is employed as a bridge between the antenna structural design and the required radiation pattern. An integrated structural-electromagnetic optimization was first proposed by Padula et al. (1989), which demonstrated better radiation pattern compared with the traditional methods of simply reducing the surface rms accuracy. Inspired by their pioneering works (Haftka and Adelman
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