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Optimization of Selective Assembly for Shafts and Holes Based on Relative Entropy and Dynamic Programming
Mingyi Xing1,2, Qiushuang Zhang1, Xin Jin3
1College of Electromechanical Engineering, Qingdao University of Science and Technology, Qingdao 266061, China.
Entropy (Basel, Switzerland)
|December 8, 2020
Summary
This study introduces a new selective assembly method using relative entropy and dynamic programming to improve precision part assembly. The optimized approach ensures uniform clearance, enhancing the accuracy of precision instruments.
Area of Science:
- Mechanical Engineering
- Manufacturing Technology
- Metrology
Background:
- Geometric errors on mating surfaces significantly impact assembly accuracy in precision instruments.
- Traditional selective assembly methods may not fully optimize the combination of low-precision components.
- Achieving high precision assemblies from standard components is crucial for instrument performance.
Purpose of the Study:
- To propose an optimized selective assembly method for shafts and holes.
- To enhance assembly accuracy by evaluating and optimizing clearance uniformity.
- To apply relative entropy and dynamic programming for efficient batch assembly.
Main Methods:
- Utilizing relative entropy to quantify clearance uniformity between shafts and holes.
- Employing dynamic programming algorithms for optimizing the selection of component combinations.
- Testing the method on a case study involving 8 shafts and 20 holes for 8 products.
Main Results:
- Optimal combinations of shafts and holes were successfully identified.
- The proposed method demonstrated effectiveness in improving selective assembly outcomes.
- New insights into selective assembly optimization for precision parts were generated.
Conclusions:
- The developed method provides a robust approach for selective assembly optimization.
- This technique lays a foundation for the efficient assembly of multi-batch precision parts.
- Enhanced clearance uniformity leads to higher precision instrument assemblies.
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