Abstract
A set-based approach to design of mechanical systems is presented in the following text. Set-based technique allows keeping multiple alternatives alive during the design process while narrowing through the possibilities towards the most optimal solution. Using the Quantifier notion from QCSP (Quantified Constraint Satisfaction Problem), a formal expression for the problem has been developed. An algorithm using QCSP transformation through interval analysis has also been developed. In order to demonstrate the approach, an example of design of rigid flange coupling with a variable number of bolts and a choice of bolts from ISO M standard has been resolved and demonstrated.
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Appendix
Appendix
Description of abbreviations and symbols
A t = Tensile Stress Area
b A/C = Bolt head length across corners
C 1 = Torion moment in bolt due to preload
D = Outside diameter of flange
d = nominal diameter of the shaft/hub internal diameter
D 1 = Bolt circle diameter
D 2 = Hub outside diameter
d 2 = Pitch diameter of threat
d n = Bolt nominal diameter
d ts = Diameter of stress area
f 1 = Friction coefficient between the bolt and the flange
\({F_{{0_{min}}}}\) = Minimum bolt tightening torque
F b = Tension load in each Bolt
i = Number of bolts
m b = Minimum bolt center distance from edge
p = Pitch of thread
p b = tool clearance
r m = Mean radius of surface
S p = Proof Strength of bolt
T = Torque to T hub = Torque capacity based on shear of flange at the outside hub diameter
T friction = Torque transmission capacity due to friction
\({T_{{b_{shear}}}}\) = Torque transmitted through bolts in shear
\({T_{{b_{bearing}}}}\) = Torque capacity based of bearing of boltsbe transmitted
t = Thickness of flange
α s = Accuracy factor of tightening tool
σ y = Bolt yield strength
σ b = Design stress in bolts
σeq max = Von Mise stress
\({\sigma _{{{\textrm{b}}_{{\textrm{max}}}}}}\) = Max. tensile stress in bolt
μ s = Coefficient of friction between flange surfaces
τ t = Design shear stress in flange
τ s = Design shear stress in shaft
\({\tau _{{{\textrm{b}}_{{\textrm{max}}}}}}\) = Max. torsional stress in the bolt
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© 2011 Springer-Verlag Berlin Heidelberg
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Qureshi, A., Dantan, J., Bruyere, J., Bigot, R. (2011). Set Based Robust Design of Systems – Application to Flange Coupling. In: Bernard, A. (eds) Global Product Development. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15973-2_34
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DOI: https://doi.org/10.1007/978-3-642-15973-2_34
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