Tolerancing is one of the most important tasks in product and manufacturing process design. In the literature, both Monte Carlo simulation and numerical optimization method have been widely used in the process of statistical tolerance analysis and synthesis, but the computational effort is huge. This paper presents two techniques, quasi random numbers based on the Number Theoretic Method and sequential algorithm based on the Number Theoretic net, to calculate yield and to perform tolerance allocation. An example demonstrates the optimal tolerance allocation design and is employed to investigate the efficiency and accuracy of this solution. This algorithm can efficiently obtain the global optimum, and the amount of calculation is considerably reduced.
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August 2001
Technical Papers
Sequential Algorithm Based on Number Theoretic Method for Statistical Tolerance Analysis and Synthesis
Zhige Zhou, Graduate Student Research Assistant,
e-mail: z.g.zhou@263.net
Zhige Zhou, Graduate Student Research Assistant
The State Key Laboratory for Vibration Shock & Noise, Mechanical Engineering Institute, Shanghai Jiao Tong University, No. 1954, Huashan Road, Shanghai, P. R. China, 200030
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Wenzhen Huang, Professor,
e-mail: wzhuang@mail1.sjtu.edu.cn
Wenzhen Huang, Professor
The State Key Laboratory for Vibration Shock & Noise, Mechanical Engineering Institute, Shanghai Jiao Tong University, No. 1954, Huashan Road, Shanghai, P. R. China, 200030
Search for other works by this author on:
Li Zhang, Graduate Student Research Assistant
Li Zhang, Graduate Student Research Assistant
The State Key Laboratory for Vibration Shock & Noise, Mechanical Engineering Institute, Shanghai Jiao Tong University, No. 1954, Huashan Road, Shanghai, P. R. China, 200030
Search for other works by this author on:
Zhige Zhou, Graduate Student Research Assistant
The State Key Laboratory for Vibration Shock & Noise, Mechanical Engineering Institute, Shanghai Jiao Tong University, No. 1954, Huashan Road, Shanghai, P. R. China, 200030
e-mail: z.g.zhou@263.net
Wenzhen Huang, Professor
The State Key Laboratory for Vibration Shock & Noise, Mechanical Engineering Institute, Shanghai Jiao Tong University, No. 1954, Huashan Road, Shanghai, P. R. China, 200030
e-mail: wzhuang@mail1.sjtu.edu.cn
Li Zhang, Graduate Student Research Assistant
The State Key Laboratory for Vibration Shock & Noise, Mechanical Engineering Institute, Shanghai Jiao Tong University, No. 1954, Huashan Road, Shanghai, P. R. China, 200030
Contributed by the Manufacturing Engineering Division for publication in the JOURNAL OF MANUFACTURING SCIENCE AND ENGINEERING. Manuscript received June 1999; revised July 2000. Associate Editor: E. DeMeter.
J. Manuf. Sci. Eng. Aug 2001, 123(3): 490-493 (4 pages)
Published Online: July 1, 2000
Article history
Received:
June 1, 1999
Revised:
July 1, 2000
Citation
Zhou, Z., Huang, W., and Zhang, L. (July 1, 2000). "Sequential Algorithm Based on Number Theoretic Method for Statistical Tolerance Analysis and Synthesis ." ASME. J. Manuf. Sci. Eng. August 2001; 123(3): 490–493. https://doi.org/10.1115/1.1378795
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