Abstract

Tolerance analysis is becoming increasingly important for tolerance design and optimization. When dealing with electromechanical products such as the array antenna, the form errors of the assembly must be considered. Traditional tolerance analysis with form errors relies on a double loop process, which is computationally expensive. A new tolerance analysis method is proposed in this paper, which can be achieved by a single loop process. First, a new tolerance modeling method considering form errors was proposed, it can represent the geometric error of a surface feature precisely. Then an effective sampling method was developed by introducing the variance separation method. An assembly simulation method was proposed to determine the final state of the whole assembly. Finally, the tolerance analysis was achieved based on the sufficient sample. The proposed analysis method was applied to an X-band spaceborne active-phased array antenna, numerical simulation results show the effectiveness of the method.

Highlights

  • The manufacturing errors seriously restrict the performance of the products, and tolerance analysis plays a more and more important role for precision electromechanical product [1,2,3]

  • State-of-the-art tolerance analysis methods can mainly be divided into two categories: the tolerance analysis methods without form error and the tolerance analysis methods considering form errors

  • This study proposes an effective and accurate tolerance analysis method for complex electromechanical products

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Summary

Introduction

The manufacturing errors seriously restrict the performance of the products, and tolerance analysis plays a more and more important role for precision electromechanical product [1,2,3]. Du [6] developed the pose decoupling method for the shaft-hole fit, and studied all the possible pose of the axis within the tolerance domain. These methods have achieved good results when dealing with traditional mechanical products, but encountered bottlenecks when dealing with the phased array antenna [7,8]. The performance of the antenna is determined by the realistic position (the amplitude and phase of each amplitude and phase of each element is considered as ideal) of each element, details can be found in element is considered as ideal) of each element, details canby bethe found inerrors

Tolerance
Variance Separation Method
Family of PDFs
Tolerance Sampling Method Based on Variance Separation
Assembly Simulation Considering Form Errors
5: Setting line
Tolerance Analysis Based on Samples
Numerical Simulation Results
10. Results
Conclusions

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