The imprecision or uncertainty present in many engineering systems can be modeled using probabilistic, fuzzy or interval methods. This work presents the optimum design of uncertain mechanical systems using interval analysis for the prediction of system response. Each of the uncertain parameters is defined by a range of values. Since the interval ranges of response parameters is found to increase with an increase in the number and/or ranges of input interval parameters with the use of interval arithmetic operations, a truncation procedure is used to obtain approximate but reasonably accurate response of the system. This procedure is found to be simple, economical and fairly accurate. The optimum design of a brake is considered to illustrate the computational aspects of the methods. The procedures outlined in this work are quite general and can be used for the design of any uncertain mechanical system when either the probability distribution functions or the preference information of uncertain parameters are unknown.
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September 2002
Technical Papers
Optimum Design of Mechanical Systems Involving Interval Parameters
S. S. Rao, Professor, Chairman,
S. S. Rao, Professor, Chairman
Department of Mechanical Engineering, University of Miami, Coral Gables, FL 33124-0624
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Lingtao Cao, Graduate Student
Lingtao Cao, Graduate Student
Department of Mechanical Engineering, University of Miami, Coral Gables, FL 33124-0624
Search for other works by this author on:
S. S. Rao, Professor, Chairman
**
Department of Mechanical Engineering, University of Miami, Coral Gables, FL 33124-0624
Lingtao Cao, Graduate Student
Department of Mechanical Engineering, University of Miami, Coral Gables, FL 33124-0624
Contributed by the Design Automation Committee for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received January 2000. Associate Editor. A. Diaz.
J. Mech. Des. Sep 2002, 124(3): 465-472 (8 pages)
Published Online: August 6, 2002
Article history
Revised:
January 1, 2000
Online:
August 6, 2002
Citation
Rao, S. S., and Cao, L. (August 6, 2002). "Optimum Design of Mechanical Systems Involving Interval Parameters ." ASME. J. Mech. Des. September 2002; 124(3): 465–472. https://doi.org/10.1115/1.1479691
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