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Article
Robust Mechanism Synthesis with Truncated Dimension Variables and Interval Clearance Variables
Mechanism and Machine Theory
  • Kang Luo
  • Jinge Wang
  • Xiaoping Du, Missouri University of Science and Technology
Abstract
The dimension variables of a mechanism vary randomly within their tolerance ranges. Likewise, the positions of the pins in joints also vary randomly, and the joint distribution of the position coordinates of a pin is usually unknown. in traditional robust mechanism synthesis, however, dimension variables are usually considered as unbounded random variables, and the joint distributions of the clearance variables are commonly assumed to be known. This work intends to make robust mechanism synthesis more practical by treating dimension variables as truncated random variables and clearance variables as interval variables. A new robust methodology is then proposed to accommodate truncated dimension variables and interval clearance variables. A quality loss function is created with the mean and standard deviation of the maximal motion error with respect to interval clearance variables. Then minimizing the expected quality loss function leads to reductions in both nominal motion error and the variation of the motion error. This ensures that the mechanism is robust against uncertainties in both dimension variables and clearance variables. The robust synthesis methodology is applied to a four-bar function generating mechanism.
Department(s)
Mechanical and Aerospace Engineering
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2012 Elsevier, All rights reserved.
Publication Date
1-1-2012
Citation Information
Kang Luo, Jinge Wang and Xiaoping Du. "Robust Mechanism Synthesis with Truncated Dimension Variables and Interval Clearance Variables" Mechanism and Machine Theory (2012)
Available at: http://works.bepress.com/xiaoping-du/72/