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research-article

A Novel Region-Division-Based Tolerance Design Method for Massive Discrete Elements Distributed on Large Surface

[+] Author and Article Information
Guodong Sa

School of Mechanical Engineering of Zhejiang University, Hangzhou 310027, China
sgd@zju.edu.cn

Zhenyu Liu

State Key Laboratory of CAD&CG, School of Mechanical Engineering of Zhejiang University, Hangzhou 310027, China
liuzy@zju.edu.cn

Chan Qiu

State Key Laboratory of CAD&CG, School of Mechanical Engineering of Zhejiang University, Hangzhou 310027, China
qc@zju.edu.cn

Jianrong Tan

State Key Laboratory of CAD&CG, School of Mechanical Engineering of Zhejiang University, Hangzhou 310027, China
mech@zju.edu.cn

1Corresponding author.

ASME doi:10.1115/1.4041573 History: Received March 03, 2018; Revised September 17, 2018

Abstract

Array structure is widely used in precise electronic products such as large phased array antennas and large optical telescopes, the main components of which are a large surface base and the massive high-precision discrete elements mounted on the surface base. The geometric error of discrete elements is inevitable in the manufacturing process and will seriously degrade product performance. To deal with the tolerance design of discrete elements, a region-division-based tolerance design method is proposed in this paper. The whole array was divided into several regions by our method and the tolerance of discrete elements was correlated with the region importance on performance. The method specifically includes the following steps: first, the sensitivity of product performance to geometric errors was analyzed and the statistical relationship between performance and geometric errors was established. Then, based on the sensitivity matrix, the regional division scheme was developed, and the corresponding tolerance was optimized according to the established relationship function. Finally, the optimal tolerance was selected among multiple solutions to achieve the best performance. Taking a large phased array as an example, a simulation experiment was performed to verify the effectiveness of the proposed method.

Copyright (c) 2018 by ASME
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