Differential Eqns with Applns in Bio, Physics, Engineering - download pdf or read online

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Acknowledgements This material is based upon work supported, in part, by: The National Science Foundation under a Presidential Young Investigator Award, Grant No. DMC-8552695; NSF Grant No. DDM-9201424, and a Sloan initialization grant from the Department 48 CHAPTER 1 of Mechanical Engineering at the Massachusetts Institute of Technology, funded in part by the DuPont Corporation. S. industrial firms. Any opinions, findings, conclusions or recommendations expressed in this publication are those of the authors.

R 34 CHAPTER 1 A specification for the maximum temperature rise may be obtained from empirical data: Tr ;:; T; = (260 - Tambient) °c. The performance variable Td does not have either a single performance specification value or an imprecise one. A qualitative specification (denoted by Td') must therefore be used: maximize heat dissipation in order to minimize the possibility of destructive temperatures for the frictional material. These four performance specifications, cast as: single values; a preference function; and a qualitative statement, form the set of performance specifications for the PVS.

Imprecise design alternatives. Yet this is not traditional "point-by-point" design iteration: the methodology uses fuzzy sets representing preferences over many designs, providing more complete information earlier in the design process. This information can be propagated to downstream engineering groups, facilitating concurrent design. Set-based concurrent design [54] is a powerful paradigm that is enhanced by the use of fuzzy sets [3, 29]. Acknowledgements This material is based upon work supported, in part, by: The National Science Foundation under a Presidential Young Investigator Award, Grant No.

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