Brandon White 1/31/2008 Structures Group Contact Interface Loads Inertia Matrices / Structures Code AAE 450 Spring 2008
Inertia Matrix Math Model Currently calculates Ixx, Iyy, Izz at the tip of the nose cone. Assumes ALL products of inertia (ex. Ixy) 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 Help provided by CJ Hiu (Thanks!) AAE 450 Spring 2008 Structures
Tank Specification Model Sizes the stages of the rocket based on inputs from propulsion data. For each stage, Inputs: Tank Material, Tank Shape, Prop Type, Prop Volume, Mass, Chamber Pressure, Launch Vehicle Diameter. Outputs: Tank Dimensions and Masses, Stage Dimensions and Masses, Inert Mass Fractions for each stage. Future Work Transfer Inertia Matrix to the Center of Mass Incorporate Internal Structure (Bulkheads, Mounts, Stringers, etc) to Tank Specification Model AAE 450 Spring 2008 Structures
Backup Slides – References Bedford, A., Fowler, W., and Liechti, K.M., Statics and Mechanics of Materials, Prentice Hall, Upper Saddle River, NJ. 2003 Strauss, Chris. “Scaling_Program.xls”. 2008 Thanks to Propulsion members J. Beasley, N. Wilcox, S. Bluestone, D. Lattibeaudiere for example inputs! AAE 450 Spring 2008 Structures
Backup Slides – Example Output Stage Prop Type Prop Density (kg/m^3) Prop Volume (m^3) Chamber Pressure (MPa) Tank Shape Tank Material 1 Solid 1799.19 5 10 Cylinder X 2 3 0.5 Used Chris Strauss’ Scaling measurements for stage Diameter at 5kg Payload (Scale 2) Tank Material was varied AAE 450 Spring 2008 “Structures Group = A OK!” – Time Magazine
Backup Slides “Structures: Built on Strong Foundations” – USA Today AAE 450 Spring 2008 “Structures: Built on Strong Foundations” – USA Today
Backup Slides AAE 450 Spring 2008 “The way to get started is to quit talking and begin doing” – Walt Disney
Backup Slides – Inertia Matrices for Example First Stage, Full First Stage, Empty Second Stage, Full Second Stage, Empty Third Stage, Full Third Stage, Empty - Aluminum 7075 Case AAE 450 Spring 2008 “You can take my word for it.” – Levar Burton