Assembly tolerance design for spatial mechanisms is a complex engineering problem that involves a highly nonlinear dimension chain equation and challenges in simplifying the spatial mechanism matrix equation. To address the nonlinearity of the problem and the difficulty of simplifying the dimension chain equation, this paper investigates the use of the Rackwitz–Fiessler (R–F) reliability analysis method and several surrogate model methods, respectively. The tolerance analysis results obtained for a landing gear assembly problem using the R–F method and the surrogate model methods indicate that compared with the extremum method and the probability method, the R–F method allows more accurate and efficient computation of the successful assembly rate, a reasonable tolerance allocation design, and cost reductions of 37% and 16%, respectively. Moreover, the surrogate-model-based computation results show that the support vector machine (SVM) method offers the highest computational accuracy among the three investigated surrogate methods but is more time consuming, whereas the response surface method and the back propagation (BP) neural network method offer relatively low accuracy but higher calculation efficiency. Overall, all of the surrogate model methods provide good computational accuracy while requiring far less time for analysis and computation compared with the simplification of the dimension chain equation or the Monte Carlo method.
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March 2017
Research-Article
Nonlinear Assembly Tolerance Design for Spatial Mechanisms Based on Reliability Methods
Yin Yin,
Yin Yin
State Key Laboratory of Mechanics and
Control of Mechanical Structures,
Nanjing University of
Aeronautics and Astronautics,
Nanjing 210016, China
e-mail: yinyinjordan@163.com
Control of Mechanical Structures,
Nanjing University of
Aeronautics and Astronautics,
Nanjing 210016, China
e-mail: yinyinjordan@163.com
Search for other works by this author on:
Nie Hong,
Nie Hong
Professor
State Key Laboratory of Mechanics and
Control of Mechanical Structures,
Nanjing University of
Aeronautics and Astronautics,
Nanjing 210016, China
e-mail: hnie@nuaa.edu.cn
State Key Laboratory of Mechanics and
Control of Mechanical Structures,
Nanjing University of
Aeronautics and Astronautics,
Nanjing 210016, China
e-mail: hnie@nuaa.edu.cn
Search for other works by this author on:
Wei Xiaohui,
Wei Xiaohui
Professor
State Key Laboratory of Mechanics and
Control of Mechanical Structures,
Nanjing University of
Aeronautics and Astronautics,
Nanjing 210016, China
e-mail: wei_xiaohui@nuaa.edu.cn
State Key Laboratory of Mechanics and
Control of Mechanical Structures,
Nanjing University of
Aeronautics and Astronautics,
Nanjing 210016, China
e-mail: wei_xiaohui@nuaa.edu.cn
Search for other works by this author on:
Ni Huajin
Ni Huajin
China COMAC Shanghai Aircraft Design and
Research Institute,
Shanghai 201210, China
e-mail: nihuajin@comac.cc
Research Institute,
Shanghai 201210, China
e-mail: nihuajin@comac.cc
Search for other works by this author on:
Yin Yin
State Key Laboratory of Mechanics and
Control of Mechanical Structures,
Nanjing University of
Aeronautics and Astronautics,
Nanjing 210016, China
e-mail: yinyinjordan@163.com
Control of Mechanical Structures,
Nanjing University of
Aeronautics and Astronautics,
Nanjing 210016, China
e-mail: yinyinjordan@163.com
Nie Hong
Professor
State Key Laboratory of Mechanics and
Control of Mechanical Structures,
Nanjing University of
Aeronautics and Astronautics,
Nanjing 210016, China
e-mail: hnie@nuaa.edu.cn
State Key Laboratory of Mechanics and
Control of Mechanical Structures,
Nanjing University of
Aeronautics and Astronautics,
Nanjing 210016, China
e-mail: hnie@nuaa.edu.cn
Feng Fei
Wei Xiaohui
Professor
State Key Laboratory of Mechanics and
Control of Mechanical Structures,
Nanjing University of
Aeronautics and Astronautics,
Nanjing 210016, China
e-mail: wei_xiaohui@nuaa.edu.cn
State Key Laboratory of Mechanics and
Control of Mechanical Structures,
Nanjing University of
Aeronautics and Astronautics,
Nanjing 210016, China
e-mail: wei_xiaohui@nuaa.edu.cn
Ni Huajin
China COMAC Shanghai Aircraft Design and
Research Institute,
Shanghai 201210, China
e-mail: nihuajin@comac.cc
Research Institute,
Shanghai 201210, China
e-mail: nihuajin@comac.cc
1Corresponding author.
Contributed by the Mechanisms and Robotics Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received June 6, 2016; final manuscript received November 21, 2016; published online January 12, 2017. Assoc. Editor: Xiaoping Du.
J. Mech. Des. Mar 2017, 139(3): 032301 (11 pages)
Published Online: January 12, 2017
Article history
Received:
June 6, 2016
Revised:
November 21, 2016
Citation
Yin, Y., Hong, N., Fei, F., Xiaohui, W., and Huajin, N. (January 12, 2017). "Nonlinear Assembly Tolerance Design for Spatial Mechanisms Based on Reliability Methods." ASME. J. Mech. Des. March 2017; 139(3): 032301. https://doi.org/10.1115/1.4035433
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