Dynamics and Control PDR 2 Team 3 Presented

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Dynamics and Control PDR 2 Team #3 Presented by: Melissa Doan Etan Karni Colleen

Dynamics and Control PDR 2 Team #3 Presented by: Melissa Doan Etan Karni Colleen Rainbolt 1 Purdue University School of Aeronautics and Astronautics

General Airplane Design Overview • Wingspan = 4. 63 ft. • Weight = 1.

General Airplane Design Overview • Wingspan = 4. 63 ft. • Weight = 1. 95 lbs. • Wing Area = 3. 58 ft. 2 2 Purdue University School of Aeronautics and Astronautics

Sizing of Control Surfaces All surfaces deflect +/- 30 deg 30% of chord Elevator

Sizing of Control Surfaces All surfaces deflect +/- 30 deg 30% of chord Elevator 30% of canard b/2 ~10% of b/2 Rudder 40% of tail chord 20% of chord Aileron 40% of wing b/2 10% of b/2 These drawings are not to scale Purdue University School of Aeronautics and Astronautics 3

Lateral X-Plot Design Point 4 Purdue University School of Aeronautics and Astronautics

Lateral X-Plot Design Point 4 Purdue University School of Aeronautics and Astronautics

Location of CG and AC SM=19. 7% (Flat. Earth) Desired = 15% 5 Purdue

Location of CG and AC SM=19. 7% (Flat. Earth) Desired = 15% 5 Purdue University School of Aeronautics and Astronautics

Longitudinal X-Plot SM = 19. 7% 6 Purdue University School of Aeronautics and Astronautics

Longitudinal X-Plot SM = 19. 7% 6 Purdue University School of Aeronautics and Astronautics

Trim Diagram 7 Purdue University School of Aeronautics and Astronautics

Trim Diagram 7 Purdue University School of Aeronautics and Astronautics

Longitudinal Poles • Aircraft stable in longitudinal axis – Poles: • • • -4.

Longitudinal Poles • Aircraft stable in longitudinal axis – Poles: • • • -4. 216 e-005 -0. 22628 + 0. 60187 i -0. 22628 - 0. 60187 i -7. 442 -41. 724 8 Purdue University School of Aeronautics and Astronautics

Lateral-Directional Poles • Lateral-Directional poles show spiral instability – Poles • • • 0

Lateral-Directional Poles • Lateral-Directional poles show spiral instability – Poles • • • 0 0. 46805 -1. 5253 + 5. 1874 i -1. 5253 - 5. 1874 i -6. 5147 9 Purdue University School of Aeronautics and Astronautics

Control Strategy • Feedback yaw rate to the rudder – Expected deficiency in lateral-directional

Control Strategy • Feedback yaw rate to the rudder – Expected deficiency in lateral-directional stability due to close coupling of vertical stabilizer and CG – Greater potential for aircraft to enter unrecoverable dive if using pitch feedback • Increase the damping of dutch roll mode from present value of 0. 275 10 Purdue University School of Aeronautics and Astronautics

Yaw Rate Transfer Function • Lateral-directional eigenvalues: – 0. 46805 – -1. 5253 +

Yaw Rate Transfer Function • Lateral-directional eigenvalues: – 0. 46805 – -1. 5253 + 5. 1874 i – -1. 5253 - 5. 1874 i – -6. 782 11 Purdue University School of Aeronautics and Astronautics

Lateral-Directional Root Locus K = - 0. 95 *Negative Transfer Function 12 Purdue University

Lateral-Directional Root Locus K = - 0. 95 *Negative Transfer Function 12 Purdue University School of Aeronautics and Astronautics

Block Diagram 13 Purdue University School of Aeronautics and Astronautics

Block Diagram 13 Purdue University School of Aeronautics and Astronautics

Response to Feedback Control Rudder deflected 10 deg. Rudder neutralized 14 Purdue University School

Response to Feedback Control Rudder deflected 10 deg. Rudder neutralized 14 Purdue University School of Aeronautics and Astronautics

Flight Test Procedure • Confirm proper gyro orientation • Start with gain=0 and determine

Flight Test Procedure • Confirm proper gyro orientation • Start with gain=0 and determine bareairframe flight characteristics • Increase gain in small increments and watch for signs of instability • Final gain obtained when flight characteristics are satisfactory 15 Purdue University School of Aeronautics and Astronautics

Questions? 16 Purdue University School of Aeronautics and Astronautics

Questions? 16 Purdue University School of Aeronautics and Astronautics