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AAE 450 Spring 20081 Brandon White 3/20/2008 Structures Group Contact Inert Mass Standard Deviation Justification Other Work.

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Presentation on theme: "AAE 450 Spring 20081 Brandon White 3/20/2008 Structures Group Contact Inert Mass Standard Deviation Justification Other Work."— Presentation transcript:

1 AAE 450 Spring Brandon White 3/20/2008 Structures Group Contact Inert Mass Standard Deviation Justification Other Work

2 AAE 450 Spring Standard Deviation Justification “Happiness is the absence of striving for happiness.” – Chuang-Tzu  Value input into Monte Carlo: 2.255% –5 times the Vanguard 1 st Stage Std. Dev. –Accounts for small manufacturing tolerances. –High Tech Companies + Small Tolerances  High Costs  Final launch vehicles designed under the assumption of Space grade Aluminum –Cutting tolerances at.01”  Using Non-Space grade Aluminum shows opportunity for 200g and 1kg launch vehicles –Cutting tolerances at 0.125” Standard Deviations SB-HA-DA-DAMB-HA-DA-DALB-HA-DA-DA Monte Carlo2.255% Non-Space Grade2.28%2.32%8.94% Space-Grade3.13%2.88%4.42%

3 AAE 450 Spring Inertia Model “The person who writes for fools is always sure of a large audience.” – Arthur Shopenhauer  Geometry assumptions made due to unknown characteristics –Payload, Avionics in the 3 rd Stage all assumed to be a point mass located at the base of the Nose Cone –LITVC assumed to be a point mass at the base of the 1 st stage Nozzle –Avionics in the 1 st and 2 nd Stage assumed to be wall mounted to the inter-stage skirts Constant thickness of 10cm  Masses of each are minor in comparison to entire rocket, but this causes small inaccuracies in calculations SOLIDSOLID SOLIDSOLID S Skirt Pressurant Tank Oxidizer Tank Payload, Avionics Avionics LITVC

4 AAE 450 Spring Backup Slides – References  Krando Metal Products,  Luminum, “Art, like morality, consists in drawing the line somewhere.” –G.K. Chesterton

5 AAE 450 Spring Backup Slides – Thickness Tolerances for Aluminum “The beautiful thing about learning is nobody can take it away from you.” – B.B. King Thickness (meters) Tolerance +/- Greater ThanLess Than Space Grade Non-Space Grade Credit: Molly Kane

6 AAE 450 Spring Inertia Matrix Math Model “If I’m not back in 5 minutes, wait longer.” – Ace Ventura  Calculates I xx, I yy, I zz at the center of mass of the launch vehicle  Assumes ALL products of inertia (ex. I xy ) equal to zero (vehicle is symmetric in radial directions)  Outputs values at different time steps. –First Stage: Full Propellant, Empty Propellant –Second Stage: Full Propellant, Empty Propellant –Third Stage: Full Propellant, Empty Propellant

7 AAE 450 Spring Evolution of Inertia Code PROPPROP PROPPROP PROPPROP SOLIDSOLID SOLIDSOLID S Skirt Pressurant Tank Oxidizer Tank Payload O O O F F F SOLIDSOLID SOLIDSOLID S Skirt Pressurant Tank Oxidizer Tank Payload, Avionics Avionics LITVC SOLIDSOLID SOLIDSOLID S “That’s it man, game over man, game over!” – Bill Paxton in Aliens


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