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Project tubeflight : phase 1, feasibility study : final report for the period Dec 10, 1965 - Sept 9, 1966 prepared for the…

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IIIA- 29 8' ).,3 + + £' = 0 (29) AI, BI --- etc are, in general, functions of the vehicle inertial properties (…
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IIlA-30 REFERENCES 1. Etkin, B., "Dynamics of Flight, "Wiley and Sons, 1958. 2. Cooke, G., Duffy, R., "…
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ARE.A III. INHERENT STABILlr;[IY AND CONTROL OF HIGH -SPEED FLUID-SUPPORTED VEHICLES MOVING WITHIN NON-BVACUATED TUBES PART B…
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III B-2 is shown that such instability can be removed by an appropriately chosen linear feedback controller. It is also…
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Vehicle mass Support structure radius Tube inside radius Fuselage length M 6.211 x 103 sl. R 8.0 f't. v Rw 9·0 ft…
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III B-4 Transverse aerodynamic forces on the fuselage are ignored, and the thrust of the propulsion system is considered to…
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F. 1 Bottom Support Pads i=1,2,4,5 F. 1 Top Support Pads i=3,6 FIGURE III B-2. SUPPORT PAD FORCE-DISTANCE…
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y ~ ft. red • lO .04 ~(O) = 0.02 rad • y ~ ft. rad • 05 .02 yeO) = 0.05 ft • o f ~. IJ ~ \\ • I! I ' \ . II…
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III B-7 angle and the y coordinate of the vehicle's mass center. Likewise, an initial error in the horizontal position…
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III B-8 of 1 degree in the roll angle error. Since the roll angle errors produced by physical disturbances do not vary so…
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v III B-9 f,.~ __ f, / I Tube Wall L (a) Side View of Model in x-y Plane (Nominal Position) Pad 6 Pad 3 :~~-----== z…
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¢, (rad) ¢ (roll) /' ;' t (yaw) O TDm +-------~~--~~~------~~-- -0.1 ¢, (rad) (sec.) (a) ¢ ( 0) = O. l…
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III B-ll in vehicle speed and vehicle parameters affecting its roll motion. Selection of Curve Geometry and Roll Torgue…
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TABIE III B-l. COMPARISON OF CURVE PARAMErERS FOR QUARTIC VERSUS BANG-BANG CASES ex = 0.2 a= 0.'5 a= 0.8 Quartic Bang…
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20,000 10,000 .......... ~ 0 I .p G-I ......., () ~ -10,000 -20,000 100 75 25 o o Quartic a: = 0.5 --, Vt…
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III B-14 Roll Control System for Two-Dimensional Vehicle Motion Since the roll torque program N (t) c and the nominal roll…
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¢*(rad.) ·50 * ¢-¢ (rad.) .02 -.01 500 -500 III B-15 Nominal Roll Angle vs. Time 10.0 t (sec.) b. Roll Error VB.…
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III B-16 measurement is not available and a physical sensor must be used to measure the angular difference between the…
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0 A C 'P* : ¢: (J: is is is = = = vehicle vertical pendulum pivot point pendulum mass center vehicle mass…
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8: input 13: response - 91 -:t e I .~ ~ V____ -x 1'-0 ~I I .. * fJ V _ _ _ _ --X: p = Ilyz ftL __ I ----- -…
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!f ~) - Pendulum (3 (;/;) +2: r(:k) Lead Network ¢ ~""'-c, .=t • (3T q,(J: Rate Gyro - + L.…
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~: input • (J"': response e r . t B I~ .~ . [ _ . --:t ( / f=o .. t ·c _~ (J P…
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¢ (rad.) ·30 .20 .10 o -.10 -.20 -·30 ¢-'(rad.) .015 .010 .005 o -.005 -.010 -.015 Kd :::; 3·0 Ixx Kd…
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III B-22 CONC WS IONS The foregoing analysis and discussion bring out the following points: 1. Curves can be designed to…
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III B-23 a desired damping may be produced by mounting the supported pad on the fuselage with appropriately designed spring…
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