Brandon White 1312008 Structures Group Contact Interface Loads

Brandon White 1/31/2008 Structures Group Contact Interface Loads Inertia Matrices / Structures Code AAE 450 Spring 2008 1

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 2

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 3

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 Structure 4

Backup Slides – Example Output Stage Prop Type Prop Density (kg/m^3) Prop Volume (m^3) 1 Solid 1799. 19 5 2 Solid 1799. 19 3 Solid 1799. 19 Chamber Pressure (MPa) Tank Shape Tank Material 10 Cylinder X 3 10 Cylinder X 0. 5 10 Cylinder X § Used Chris Strauss’ Scaling measurements for stage Diameter at 5 kg Payload (Scale 2) § Tank Material was varied AAE 450 Spring 2008 “Structures Group = A OK!” – Time 5

Backup Slides AAE 450 Spring 2008 “Structures: Built on Strong Foundations” – USA 6

Backup Slides AAE 450 Spring 2008 “The way to get started is to quit talking and begin doing” – 7

Backup Slides – Inertia Matrices for Example First Stage, Full Second Stage, Empty First Stage, Empty Second Stage, Full Third Stage, Empty - Aluminum 7075 Case AAE 450 Spring 2008 “You can take my word for it. ” – Levar Burton 8