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Rocket Flight Dynamics. Section 1, Team 4 Student 1, Student 2, Student 3 May 5, 2008. Rockets Analyzed. Large IMU rocket Large vibration rocket Small vibration rocket All launches at Lucerne Valley dry lake bed Altitude: 2848 feet. How the RDAS functions. 6 channels of data

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rocket flight dynamics

Rocket Flight Dynamics

Section 1, Team 4

Student 1, Student 2, Student 3

May 5, 2008

rockets analyzed
Rockets Analyzed
  • Large IMU rocket
  • Large vibration rocket
  • Small vibration rocket
  • All launches at Lucerne Valley dry lake bed
    • Altitude: 2848 feet
how the rdas functions
How the RDAS functions
  • 6 channels of data
  • Onboard accelerometer
  • Onboard pressure sensor
  • Samples at 200 Hz
  • Runs on 9V battery supply
imu and vibration sensors
IMU and Vibration Sensors
  • IMU
    • 3 MEMS Accelerometers
    • 3 MEMS Gyroscopes
  • Vibration
    • Piezoelectric strain gauges

X axis Y axis

Z axis

modal shapes
Mode 1:

Mode 2:

Mode 3:

.

Modal Shapes
  • Model rocket as a uniform beam
  • At natural frequencies, distinct modal shapes
  • Values of natural frequencies depend on beam dimensions and material properties
large imu rocket
Large IMU Rocket
  • Launched April 26, 2008 with G339N motor
  • RockSim used to model launch
  • Estimated Apogee of 482.66 ft
large imu rocket7
Large IMU Rocket
  • Approximations
    • Any point before time=0 needs to be set to zero
    • Account for calibration drift
    • Over thrust curve, all other sensors should be zero
    • Noisy x and z gyroscopes have negligible effect
    • Integration error doesn’t affect apogee
large imu rocket8
Large IMU Rocket
  • Apogee at 5.45 seconds
  • Made several approximations to eliminate noise
  • Model only works until apogee
large vibration rocket
Large Vibration Rocket
  • Launched April 19, 2008 with G69N motor
  • Severe weathercock
  • RockSim trajectory portrays weathercock
large vibration rocket10
3 5 6 7 8 10

72.39cm 60.64cm 46.67cm 31.75cm 15.875 cm 0 cm

ADC0 ADC1 ADC2 ADC3 ADC4 ADC5

Large Vibration Rocket
  • Six vibration sensors connected to RDAS
  • Sensor 10 assumed as input
large vibration rocket11
Large Vibration Rocket
  • Applied Fourier transform
  • Treating sensor 10 as input, plotted FRF
large vibration rocket12
Large Vibration Rocket
  • Identified three resonant peaks
  • Mode 1 assumed to be at 23.85 Hz
large vibration rocket13
Large Vibration Rocket
  • Mode 2 assumed to be at 0.9569 Hz
large vibration rocket14
Large Vibration Rocket
  • Higher Mode at 19.65 Hz
small vibration rocket
Small Vibration Rocket
  • Launched April 19, 2008 with G104T motor
  • Camera drew power from battery
  • Parachute did not deploy
small vibration rocket16
1 5 6 8 10

37 in 28 in 22 in 8 in 1 in

ADC0 ADC1 ADC2 ADC4 ADC3

Small Vibration Rocket
  • Five vibration sensors connected to RDAS
  • Sensor 10 chosen as input
small vibration rocket17
Small Vibration Rocket
  • Applied Fourier transform and 50 Hz filter
  • Treating sensor 10 as input, plotted FRF
small vibration rocket18
Small Vibration Rocket
  • Identified two resonant frequency peaks
  • Mode 1 assumed to be at 7.997 Hz
small vibration rocket19
Small Vibration Rocket
  • Mode 2 assumed to be at 0.5831 Hz
summary
Summary
  • Large IMU
    • Apogee at 5.45 seconds
    • Modeled altitude at apogee of 3382 feet
  • Large Vibration
    • Three natural frequencies: 23.85 Hz, 0.956 Hz, 19.65 Hz
  • Small Vibration
    • Two natural frequencies: 7.997 Hz, 0.5831 Hz
acknowledgements
Acknowledgements
  • E80 lab professors
    • Mary Cardenas, Reza Miraghaie, Erik Spjut, Ruye Wang, and Qimin Yang
  • Lab proctors and Rocket Development Team
  • Reference 1
  • Reference 2
  • Reference 3
references
References
  • Miraghaie, Reza, Modal Vibration, http://www.eng.hmc.edu/NewE80/PDFs/ModalVibrationLecture.pdf
  • Remote Data Acquisition System, http://www.aedelectronics.nl/rdas/index.htm
  • Spjut, Erik, http://www.eng.hmc.edu/NewE80/
  • Wang, Ruye, Inertial Navigation, http://fourier.eng.hmc.edu/e80/inertialnavigation/
ad