AAE 450 Spring Brandon White 2/14/2008 Structures Group Contact Inertia Matrix Math Model Tank Buckling Math Model
AAE 450 Spring Inertia Matrix Math Model “Structures, it’s a good thing.” – Martha Stewart Calculates I xx, I yy, I zz 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) O O O F F F PROP PROPPROP PROPPROP
AAE 450 Spring Tank Buckling Math Model “He that falls in love with himself will have no rivals.” – Ben Franklin Future Work 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 Incorporate further complexities into Inertia calculations. –Engines, Nozzles, Payload, Avionics, Support Structure Support Ring Design Integrate both models into MAT analysis main code. D L Tank Structure Support Rings
AAE 450 Spring Backup Slides – References Baker, E.H., Kovalevsky, L., Rish, F.L., Structural Analysis of Shells, Robert E. Krieger Publishing Company, Huntington, NY, 1981, pgs Bedford, A., Fowler, W., and Liechti, K.M., Statics and Mechanics of Materials, Prentice Hall, Upper Saddle River, NJ “You can’t spell love without LO.” –Peter Griffin
AAE 450 Spring Backup Slides – Method 3 versus Euler Euler Method 3 Curvature Parameter Buckling Coefficient Critical Buckling Stress 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. “Without ME, your life would just be AWESO.” – Brandon White
AAE 450 Spring Backup Slides – Example of Method 3 Consider an Aluminum tank is supporting various masses above it. –Length: 6 meters –Diameter: 1 meter –Thickness: meters 0 Rings 1 Ring 3 Rings 5 Rings <10 Rings M<= 3050kg 3050kg<M<4300kg 6950kg<M<7475kg 5300kg<M<6100kg 9700kg <= M “There is no remedy for love except to love more.” –Henry David Thoreau