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Inertia Matrix Math Model

Brandon White 1/31/2008 Structures Group Contact Interface Loads Inertia Matrices / Structures Code. Inertia Matrix Math Model. Currently calculates I xx , I yy , I zz at the tip of the nose cone.

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Inertia Matrix Math Model

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  1. Brandon White1/31/2008Structures Group ContactInterface LoadsInertia Matrices / Structures Code AAE 450 Spring 2008

  2. 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

  3. 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

  4. 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

  5. Backup Slides – Example Output • 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

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

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

  8. 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

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