Progettazione di Materiali e Processi

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Presentation transcript:

Progettazione di Materiali e Processi Modulo 1 – Lezione 5 Progettazione e selezione di materiali e processi A.A. 2016 – 2017 Vanni Lughi vlughi@units.it

Design With Multiple Constraints Objective limited by one constraint (i.e. what we have been doing so far) Material index: E/ Function Objective Constraint Tie Beam Shaft Column ….. Minimum cost Max energy storage Minimum weight Min. environmental impact …… Stiffness Strength Fatigue resistance Geometry ….. Material index: / m = (ρ/E) S* L2 constraint: Stiffness S* m = ρ A L m = (ρ/σ) L F* constraint: collapse force F*

Design With Multiple Constraints Objective limited by two or more constraints simultaneously Material index: E/ Function Objective Constraint Tie Beam Shaft Column ….. Minimum cost Max energy storage Minimum weight Min. environmental impact …… Stiffness Strength Fatigue resistance Geometry ….. Material index: / m = (ρ/E) S* L2 (constraint: Stiffness S*) Need to select the maximum of the two m = ρ A L m = (ρ/σ) L F* (constraint: collapse force F*)

Design With Multiple Constraints Objective limited by two or more constraints simultaneously - Example L = 1 m S* = 3 107 N/m F* = 105 N Material Density (kg/m3) E (GPa) σy (MPa) mass (kg) stiffness constraint mass (kg) strength constraint Min mass (kg) 1020 steel 7850 200 320 1.12 2.45 6061 Al 2700 70 120 1.16 2.25 Ti-6-4 4400 115 950 1.15 0.46 m = (ρ/E) S* L2 (constraint: Stiffness S*) Need to select the maximum of the two m = ρ A L m = (ρ/σ) L F* (constraint: collapse force F*)

Design With Multiple Constraints Objective limited by two or more constraints simultaneously Excercise: What if L = 3 m S* = 3 108 N/m F* = 3 104 N

Design With Multiple Constraints Objective limited by two or more constraints simultaneously – graphical method Mass (strength constraint) Mass (stifness constraint)

Design With Multiple Constraints Objective limited by two or more constraints simultaneously – graphical method Mass (strength constraint) Mass (stifness constraint)

Design With Multiple Constraints Example of light pressure vessels