The 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 a large number of 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 the 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 the performance. The method specifically includes the following steps: first, the sensitivity of the product performance to geometric errors was analyzed and the statistical relationship between the 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 the 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.
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April 2019
Research-Article
A Novel Region-Division-Based Tolerance Design Method for a Large Number of Discrete Elements Distributed on a Large Surface
Zhenyu Liu,
Zhenyu Liu
State Key Laboratory of CAD&CG,
School of Mechanical Engineering,
Zhejiang University,
Hangzhou 310027, China
e-mail: liuzy@zju.edu.cn
School of Mechanical Engineering,
Zhejiang University,
Hangzhou 310027, China
e-mail: liuzy@zju.edu.cn
Search for other works by this author on:
Chan Qiu,
Chan Qiu
State Key Laboratory of CAD&CG,
School of Mechanical Engineering,
Zhejiang University,
Hangzhou 310027, China
e-mail: qc@zju.edu.cn
School of Mechanical Engineering,
Zhejiang University,
Hangzhou 310027, China
e-mail: qc@zju.edu.cn
Search for other works by this author on:
Jianrong Tan
Jianrong Tan
State Key Laboratory of CAD&CG,
School of Mechanical Engineering,
Zhejiang University,
Hangzhou 310027, China
e-mail: mech@zju.edu.cn
School of Mechanical Engineering,
Zhejiang University,
Hangzhou 310027, China
e-mail: mech@zju.edu.cn
Search for other works by this author on:
Guodong Sa
Zhenyu Liu
State Key Laboratory of CAD&CG,
School of Mechanical Engineering,
Zhejiang University,
Hangzhou 310027, China
e-mail: liuzy@zju.edu.cn
School of Mechanical Engineering,
Zhejiang University,
Hangzhou 310027, China
e-mail: liuzy@zju.edu.cn
Chan Qiu
State Key Laboratory of CAD&CG,
School of Mechanical Engineering,
Zhejiang University,
Hangzhou 310027, China
e-mail: qc@zju.edu.cn
School of Mechanical Engineering,
Zhejiang University,
Hangzhou 310027, China
e-mail: qc@zju.edu.cn
Jianrong Tan
State Key Laboratory of CAD&CG,
School of Mechanical Engineering,
Zhejiang University,
Hangzhou 310027, China
e-mail: mech@zju.edu.cn
School of Mechanical Engineering,
Zhejiang University,
Hangzhou 310027, China
e-mail: mech@zju.edu.cn
1Corresponding author.
Contributed by the Design for Manufacturing Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received March 3, 2018; final manuscript received September 17, 2018; published online January 11, 2019. Assoc. Editor: Xiaoping Du.
J. Mech. Des. Apr 2019, 141(4): 041701 (18 pages)
Published Online: January 11, 2019
Article history
Received:
March 3, 2018
Revised:
September 17, 2018
Citation
Sa, G., Liu, Z., Qiu, C., and Tan, J. (January 11, 2019). "A Novel Region-Division-Based Tolerance Design Method for a Large Number of Discrete Elements Distributed on a Large Surface." ASME. J. Mech. Des. April 2019; 141(4): 041701. https://doi.org/10.1115/1.4041573
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