Closure to “Discussions of ‘The Optimum Design of Mechanical Systems With Competing Design Objectives’” (1974, ASME J. Eng. Ind., 96, pp. 1103–1104)

1974 ◽  
Vol 96 (3) ◽  
pp. 1104-1104
Author(s):  
D. L. Bartel ◽  
R. W. Marks
Keyword(s):  
Optimum Design ◽  
Mechanical Systems

Optimum Design of Mechanical Systems Involving Interval Parameters

2002 ◽  
Vol 124 (3) ◽  
pp. 465-472 ◽  
Author(s):  
S. S. Rao ◽  
Lingtao Cao
Keyword(s):  
Optimum Design ◽  
Mechanical Systems ◽  
Distribution Functions ◽  
Interval Methods ◽  
System Response ◽  
Uncertain Parameters ◽  
Engineering Systems ◽  
Interval Parameters ◽  
Computational Aspects ◽  
Range Of Values

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.

Description and Optimum Design of Fuzzy Mechanical Systems

1987 ◽  
Vol 109 (1) ◽  
pp. 126-132 ◽  
Author(s):  
S. S. Rao
Keyword(s):  
Optimum Design ◽  
Fuzzy Set ◽  
Mechanical Systems ◽  
Fuzzy Optimization ◽  
Optimization Techniques ◽  
Fuzzy Constraints ◽  
Constraint Set ◽  
Fuzzy Constraint ◽  
Optimum Solution ◽  
Set Of Points

Much of the decision-making in the real world takes place in an environment in which the goals, the constraints and the consequences of possible actions are not known precisely. To deal quantitatively with imprecision, the tools of fuzzy set theory can be used. This paper deals with the description and optimization of mechanical systems containing fuzzy information. The fuzzy constraints define a fuzzy feasible domain in the design space and hence the fuzzy optimum solution will be defined by a fuzzy set of points. In this work, two methods are presented for solving a fuzzy optimization problem using ordinary optimization techniques. The optimum design of a four-bar function generating mechanism with fuzzy objective function and fuzzy constraint set is considered to illustrate the procedures.

The Optimum Design of Mechanical Systems With Competing Design Objectives

1974 ◽  
Vol 96 (1) ◽  
pp. 171-178 ◽  
Author(s):  
D. L. Bartel ◽  
R. W. Marks
Keyword(s):  
Optimum Design ◽  
Mechanical Systems ◽  
Journal Bearings ◽  
Design Problems ◽  
Trade Off ◽  
General Method

A general method is developed for analyzing optimum design problems with multiple, competing objective junctions. Methods are presented for generating trade-off curves for problems with competing objectives. The usefulness of these methods is demonstrated by applying them to the optimum design of hydrodynamic journal bearings.

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