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Tank Buckling Math Model - AAE 450 Spring 2008

Calculate Ixx, Iyy, Izz at the Center of Mass for different time steps. Incorporate further complexities into Inertia calculations. Explore Support Ring Design and more. Backup Slides and References included.

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Tank Buckling Math Model - AAE 450 Spring 2008

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  1. Brandon White2/14/2008Structures Group ContactInertia Matrix Math ModelTank Buckling Math Model AAE 450 Spring 2008

  2. Inertia Matrix Math Model O PROP • Calculates Ixx, Iyy,Izz at the Center of Mass for the different time steps requested by the D&C group. • Includes calculations for an oxidizer and fuel tank in each stage, as well as skirts between stages. • Only utilizes inputs from codes that are already in place: • Tanks.m (ref. Hiu) • Skirt_v3.m (ref. Doyle, Schoenbauer) • CM_stg.m (ref. Childers) F O PROP F O PROP F AAE 450 Spring 2008 “Structures, it’s a good thing.” – Martha Stewart

  3. Tank Buckling Math Model • No longer utilizing Euler buckling loading. • Instead, using Method 3 from Baker, Kovalevsky, and Rish (ref. Kane) • Calculations at a maximum G-loading of 30 g’s. • Additional Credit: Steven Izzo Support Rings Tank Structure D Future Work L • Incorporate further complexities into Inertia calculations. • Engines, Nozzles, Payload, Avionics, Support Structure • Support Ring Design • Integrate both models into MAT analysis main code. AAE 450 Spring 2008 “He that falls in love with himself will have no rivals.” – Ben Franklin

  4. Backup Slides – References • Baker, E.H., Kovalevsky, L., Rish, F.L., Structural Analysis of Shells, Robert E. Krieger Publishing Company, Huntington, NY, 1981, pgs. 229-240. • Bedford, A., Fowler, W., and Liechti, K.M., Statics and Mechanics of Materials, Prentice Hall, Upper Saddle River, NJ. 2003 AAE 450 Spring 2008 “You can’t spell love without LO.” –Peter Griffin

  5. Backup Slides – Method 3 versus Euler Method 3 Euler Curvature Parameter Buckling Coefficient • Euler buckling is a very good method when L/D ~ 100, Method 3 satisfies any L/D calculation. • Euler provides a max Force that can be placed on a cross section, while Method 3 provides a max Stress value. Critical Buckling Stress AAE 450 Spring 2008 “Without ME, your life would just be AWESO.” – Brandon White

  6. Backup Slides – Example of Method 3 • Consider an Aluminum tank is supporting various masses above it. • Length: 6 meters • Diameter: 1 meter • Thickness: 0.002 meters 6950kg<M<7475kg 9700kg <= M 5300kg<M<6100kg M<= 3050kg 3050kg<M<4300kg <10 Rings 5 Rings 3 Rings 1 Ring 0 Rings AAE 450 Spring 2008 “There is no remedy for love except to love more.” –Henry David Thoreau

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