1. Dynamic Modeling PDR
Dynamic Modeling Preliminary Design Review for Vehicle and Avionics
October 17, 2000
Presented By: Christopher Peters
…and that’s cool
Team DR2
Chris Curtis
Loren Garrison
Jeff Rodrian
Mark Blanton

2. Dynamic Modeling PDR Presentation Outline:
General Dynamic Model Buildup
Component Description
Mathematical/Physical Approach
Methods
Results
Conclusion
Progress Plan

3. Gain Selector and Feedback sign implementation
Dynamic Modeling PDR
General Dynamic Model Buildup for YAW-Feedback Loop
Transmitter
Pilot Rudder
Input δrc(Volts)
Aircraft
Model
Dutch
Roll Approx. + δr r
Receiver
Servo + - kr
Gain Selector and Feedback sign implementation
Washout
Filter
Rate Gyro

4. Dynamic Modeling PDR Component Description Transmitter Receiver Servo
Block Diagram
Dynamic Model
Simulation
Airplane Dynamic Model for Yaw Feedback
Non-Linear vs. Linear
Dutch-Roll Approximation
For small dihedral effect, mainly sideslipping and yawing
Gain Selector
Washout Filter
Rate Gyro

5. Dynamic Modeling PDR Simulink Servo Model Not Specified FUTABA Model
Actual model determined by testing, hopefully soon…

6. Dynamic Modeling PDR Mathematical/Physical Approach
General Transfer Function for Dutch-Roll Approximation:
Terms Described in Subsequent Slides

7. Dynamic Modeling PDR
Lateral-Directional, Dimensional Stability Derivatives
Lateral Acceleration per Unit Sideslip Angle
Lateral Acceleration per Unit Yaw Rate
Lateral Acceleration per Unit Rudder Angle
Yaw Angular Acceleration per Unit Sideslip Angle
Yaw Angular Acceleration per Unit Yaw Rate
Yaw Angular Acceleration per Unit Rudder Angle
Dynamic Pressure

8. Dynamic Modeling PDR
Lateral-Directional, Dimensional Stability Derivative Coefficients

9. Dynamic Modeling PDR
Lateral-Directional, Dimensional Stability Derivatives and Coefficients… Continued:
[rad-1] DR2 C182 MP-X5
Cyβ
Cyr
Cyδr
Cnβ
Cnr
Cnδr

10. Dynamic Modeling PDR
Lateral-Directional, Dimensional Stability Derivatives and Coefficients… Continued:
Yβ = ft/s2
Yr = 1.07ft/s
Yδr = 5.88 ft/s2
Nβ = 5.87 s-2
Nr = s-1
Nδr = s-2
All Evaluated at ρ= 2.335e-03slugs/ft3 (600ft) and Vloi = 24 ft/s
Difficult to compare to other values do to dependency on Vloi

11. Dynamic Modeling PDR
Transfer Function, Damping Ratio and Natural Damped Frequency: Open Loop (OL)
Numerator
Constant Coefficient 0

12. Dynamic Modeling PDR
Constant
Coefficient:

13. Dynamic Modeling PDR
Stability Analysis Closed Loop (CL)

14. Dynamic Modeling PDR
Stability Analysis (CL)

15. Dynamic Modeling PDR Washout Filter
Depends on Selection of Feedback Implementation
Might not be needed
For Destabilizing Effects
To Visualize Dutch Roll Mode
Might be needed
If Rate Gyro is supposed to stabilize Aircraft
Depends on Roll/Yaw Effects
Very Simple T.F.: s/(s+c), c = 1,2,3

16. Dynamic Modeling PDR Rate Gyro No Specifications yet… BUT
We still have a week left…

17. Dynamic Modeling PDR Progress Plan
Improve Current Values as Design continues to improve
Analyze Pitch and Roll Dynamic Models
Complete Stability and Control Analysis
Simulate Components and Aircraft to obtain A PRIORI Model
Compare Results to Mark Peters’ Analysis