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Adam Waite 2/21/08 Dynamics and Control Analyzing Loading Based on Test Design

Adam Waite 2/21/08 Dynamics and Control Analyzing Loading Based on Test Design. Body Acceleration. Objective: Analyze rocket test design with the current trajectory inputs. First Stage Analysis. Assumption: - Constant Cd.

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Adam Waite 2/21/08 Dynamics and Control Analyzing Loading Based on Test Design

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  1. Adam Waite2/21/08Dynamics and ControlAnalyzing Loading Based on Test Design AAE 450 Spring 2008

  2. Body Acceleration • Objective: Analyze rocket test design with the current trajectory inputs • First Stage Analysis • Assumption: • - Constant Cd • Maximum body acceleration experienced by rocket in first stage: 41.12 m/s^2 • Corresponding g-force along axis of symmetry: 4.20 g’s Plot by Adam Waite AAE 450 Spring 2008 Dynamics and Control

  3. Angular Acceleration • Maximum Angular Acceleration experienced by rocket in first stage: 3.93 rad/s^2 • Maximum Lateral G force experienced: 2.42 g’s Future Work • Analyze entire flight path of rocket • Optimize controller design • Run Monte Carlo Simulation Plot by Adam Waite AAE 450 Spring 2008 Dynamics and Control

  4. References • Main D&C Simulator Code – designed by Mike Walker, Alfred Lynam, and Adam Waite • MAT Test Design – created by MAT teams AAE 450 Spring 2008 Dynamics and Control

  5. Calculations • Body Acceleration Acceleration (m/s^2)/9.80665 (m/s^2) = G Force • Angular Acceleration (Acceleration (rad/s^2) * Distance from T to Cm (m))/9.80665 (m/s^2) = Lateral G Force • Example (3.93 rad/s^2 * 6.0483 m)/9.80665 m/s^2 = 2.42 g’s AAE 450 Spring 2008

  6. Gain Matrix • Gain matrix is optimized so that the controller follows the trajectory • P1 = [10000 0 0 ; 0 100 0 ; 0 0 100]; • The first number controls emphasis on the steering (pitch) angle • The second number controls the emphasis on the yaw angle • The third number controls the emphasis on the spin angle • Our current gain matrix pictured tells the controller to emphasize controlling the steering (pitch) angle while putting less emphasis on the yaw and spin angles AAE 450 Spring 2008

  7. Graphs of Angles Yaw Angle (very small magnitude change) Figure by Adam Waite Steering Angle Figure by Adam Waite AAE 450 Spring 2008

  8. Graphs of Angles (cont.) • If the gains for the spin and yaw angles are decreased, you get much bigger magnitudes of change in those angles that causes the rocket to drift drastically off of its desired trajectory • The gains have been adjusted for the first stage to optimize performance while following the current trajectory Spin Angle (small magnitude change) Figure by Adam Waite AAE 450 Spring 2008

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