The Art of the Helicopter John Watkinson - Karatunov.net

More documents

Recommendations

Info

Rotors in practice 149 Fig. 4.29 (a) A rotor turning anticlockwise with forward whirling. The reaction from the hull opposes the whirling. (b) A rotor turning anticlockwise with backward whirling. The reaction from the hull which is the same as in (a) is now in the same direction as the whirling and amplifies it. This is the mechanism of ground resonance. 180 ◦ passing over the nose. In the case of (a), to obtain the rocking frequency seen by the hull, the forward whirling frequency must be added to the rotor frequency. Clearly the whirling is progressive. If the hull/undercarriage system is resonant at this frequency, then it will produce a force opposing the rocking excitation because the response of the hull at resonance must be anti-phase to the exciting motion as was shown in section 3.27. This force is applied at the mast. It will be clear from Figure 4.29(a) that at the instant depicted by the figure, the angle θ between hub and blade shank is increasing. The force applied by the mast tends to reduce θ, thereby opposing the whirling. As a result, the system is stable. Ground resonance cannot occur due to the higher whirling frequency resulting from forward whirling. In the case of Figure 4.29(b) the whirling is backward. To obtain the rocking frequency seen by the hull, the forward whirling frequency must be subtracted from the rotor frequency. However, the whirling frequency is lower than the rotor frequency, so the whirling seen by the hull is still progressive. If the hull has a rocking resonance at this frequency, it will produce a force in anti-phase to the whirling as before. However, it will be clear from Figure 4.29(b) that at the instant depicted by the figure, the angle θ between hub and blade shank is decreasing. The force applied by the mast tends to decrease θ further, thereby augmenting the whirling. As a result, the system is unstable. Ground resonance occurs due to the lower whirling frequency resulting from backward whirling. In mechanical terms, the mechanical impedance of the system has become negative, so that it can gain energy from forces that would otherwise oppose motion. Negative
150 The Art of the Helicopter impedance is used in electronics to construct oscillators. The criterion for this to happen is that the whirling must be both progressive and backwards. Given that the system is unstable in this mode, an undamped rotor can spontaneously display ground resonance. In the absence of preventive measures, a helicopter on the ground with progressive backward rotor whirling is a mechanical oscillator. Given the huge amount of energy stored in the rotor, once started the whirling will increase in amplitude until something breaks. Hull rocking resonance can only occur if there is a reaction from the ground, hence the name of the phenomenon. This also explains why a machine can fly safely but disintegrate on landing, as has happened on a number of occasions. There are a number of solutions to ground resonance which will be explored. It will be seen from a consideration of Figure 4.29 that damping any changes in the angle θ will be highly effective hence the use of dragging dampers in the traditional fully articulated rotor head. In many cases damping is provided in the undercarriage to dissipate landing impacts and this damping can augment but not replace the damping in the head. In modern helicopters employing damping, ground resonance is virtually unknown provided the dampers are kept in good order. These dampers may be hydraulic, similar to automobile dampers, which work by forcing oil through a small orifice, or elastomeric, which work by dissipating heat in hysteretic flexing. The latter have the advantage of needing no maintenance. Oil filled dampers will lose effectiveness if the oil leaks. Given the destructive nature of ground resonance, it is a good idea to examine the dampers as part of the pre-flight inspection. By moving the blade on its dragging hinge, the resistance of the damper can be felt and the oil can be heard rushing through the damping orifice. All of the blades should feel and sound the same. If one blade feels different the damper may have some air in it. As the air is forced through the damping orifice the sound will change. Whilst one weak damper may not cause ground resonance, it may result in an increase in vibration in forward flight. It is also useful to learn the characteristics of the machine’s padding on start-up. If the rotor dampers are satisfactory, but there is unusual padding, the undercarriage oleos may need attention. A smoother rotor start may result if all of the blades are first moved to their rearward damper travel limit. Unusual padding may also result if the machine is parked on a slope when gravity will tend to take the blades out of pattern during the early stages of starting. Figure 4.30 shows an interference diagram or Coleman diagram for an articulated rotor. K1 = 0 and the dragging frequency is small in relation to the rotor speed. Thus the rotor speed always overcomes the backward whirling and so all of the frequencies Fig. 4.30 An interference diagram for an articulated rotor. The dragging frequencies fan out above and below the rotor frequency. Both are progressive but one is backward.
Page 2 and 3:
The Art of the Helicopter
Page 4 and 5:
The Art of the Helicopter John Watk
Page 6 and 7:
Contents Preface xi Acknowledgement
Page 8 and 9:
4.12 Feathering 134 4.13 Pitch cont
Page 10:
8.5 Power management 326 8.6 Flying
Page 13 and 14:
xii Preface reader to make sense of
Page 16 and 17:
1 Introduction to rotorcraft 1.1 Ap
Page 18 and 19:
Introduction to rotorcraft 3 Fig. 1
Page 20 and 21:
Page 22 and 23:
Page 24 and 25:
Introduction to rotorcraft 9 for th
Page 26 and 27:
Introduction to rotorcraft 11 Fig.
Page 28 and 29:
(a) (b) (c) (d) Introduction to rot
Page 30 and 31:
Fig. 1.18 The contra-rotating coaxi
Page 32 and 33:
Fig. 1.20 The structure of a light
Page 34 and 35:
Introduction to rotorcraft 19 wings
Page 36 and 37:
Introduction to rotorcraft 21 a rot
Page 38 and 39:
Technical background 23 Fig. 2.1 At
Page 40 and 41:
Fig. 2.3 Effect of force on velocit
Page 42 and 43:
C Force A E Resultant (a) Force B (
Page 44 and 45:
(a) (b) Technical background 29 Fig
Page 46 and 47:
Technical background 31 Fig. 2.11 A
Page 48 and 49:
Technical background 33 Fig. 2.12 (
Page 50 and 51:
Technical background 35 If the volu
Page 52 and 53:
Fig. 2.16 The definition of a radia
Page 54 and 55:
Technical background 39 force would
Page 56 and 57:
Technical background 41 Figure 2.20
Page 58 and 59:
Technical background 43 force where
Page 60 and 61:
Technical background 45 the cosine
Page 62 and 63:
Technical background 47 Fig. 2.28 F
Page 64 and 65:
Technical background 49 Fig. 2.30 T
Page 66 and 67:
Technical background 51 centripetal
Page 68 and 69:
2.17 The gyroscope Technical backgr
Page 70 and 71:
Technical background 55 of oscillat
Page 72 and 73:
Technical background 57 the inertia
Page 74 and 75:
Technical background 59 shut down a
Page 76 and 77:
3 Introduction to helicopter dynami
Page 78 and 79:
Introduction to helicopter dynamics
Page 80 and 81:
Page 82 and 83:
Page 84 and 85:
Page 86 and 87:
Page 88 and 89:
Page 90 and 91:
Page 92 and 93:
Page 94 and 95:
Page 96 and 97:
Page 98 and 99:
Page 100 and 101:
(a) (c) (b) Introduction to helicop
Page 102 and 103:
Page 104 and 105:
(a) (b) (c) (d) Introduction to hel
Page 106 and 107:
Fig. 3.23 Conditions for hover and
Page 108 and 109:
Page 110 and 111:
(a) (b) Introduction to helicopter
Page 112 and 113:
Page 114 and 115: Introduction to helicopter dynamics
Page 116 and 117: (a) (b) Introduction to helicopter
Page 132 and 133: 4.1 Introduction 4 Rotors in practi
Page 134 and 135: (a) (b) Rotors in practice 119 Fig.
Page 136 and 137: Rotors in practice 121 Designers of
Page 138 and 139: Rotors in practice 123 opposite occ
Page 140 and 141: Rotors in practice 125 Fig. 4.6 (a)
Page 142 and 143: Rotors in practice 127 assembly tha
Page 144 and 145: Rotors in practice 129 Pitch change
Page 146 and 147: × T=c× D Rotors in practice 131 F
Page 148 and 149: Rotors in practice 133 In a real he
Page 150 and 151: Rotors in practice 135 Fig. 4.15 Va
Page 152 and 153: (a) (b) Rotors in practice 137 Fig.
Page 154 and 155: Rotors in practice 139 Fig. 4.18 Th
Page 156 and 157: Rotors in practice 141 swashplate a
Page 158 and 159: Fig. 4.23 A fixed-pitch tilting hea
Page 160 and 161: Rotors in practice 145 Fig. 4.25 Bl
Page 162 and 163: Rotors in practice 147 Fig. 4.27 Ef
Page 166 and 167: Rotors in practice 151 concerned ar
Page 168 and 169: Rotors in practice 153 and lag damp
Page 170 and 171: Rotors in practice 155 disappears a
Page 172 and 173: (d) (e) (f) Rotors in practice 157
Page 174 and 175: Rotors in practice 159 hull and a v
Page 176 and 177: Rotors in practice 161 Fig. 4.35 (C
Page 178 and 179: Rotors in practice 163 Abrasion is
Page 180 and 181: Rotors in practice 165 There are so
Page 182 and 183: eing more visible to ground personn
Page 184 and 185: otates the rod in the screw thread.
Page 186 and 187: In the case of a rotor having offse
Page 188 and 189: The tail rotor designer is faced wi
Page 190 and 191: Fig. 5.5 A right-side wrong-directi
Page 192 and 193: centre of mass. The solution was to
Page 194 and 195: safe to start the rotors. However,
Page 196 and 197: Fig. 5.10 Tail plane locations: (a)
Page 198 and 199: Fig. 5.12 (a) A top-mounted fin is
Page 200 and 201: Fig. 5.14 (a) Main rotor lateral ro
Page 202 and 203: long. The cross-section of the duct
Page 204 and 205: drag. However, the slots are emitti
Page 206 and 207: 6 Engines and transmissions The pow
Page 208 and 209: Engines and transmissions 193 the D
Page 210 and 211: (a) (b) Engines and transmissions 1
Page 212 and 213: (a) (b) (c) Engines and transmissio
Page 214 and 215:
Fig. 6.5 A typical horizontally opp
Page 216 and 217:
Engines and transmissions 201 the v
Page 218 and 219:
Engines and transmissions 203 The c
Page 220 and 221:
6.9 The oil system Engines and tran
Page 222 and 223:
Engines and transmissions 207 (non-
Page 224 and 225:
(a) (b) Engines and transmissions 2
Page 226 and 227:
Engines and transmissions 211 a hot
Page 228 and 229:
Engines and transmissions 213 Fig.
Page 230 and 231:
Engines and transmissions 215 In wa
Page 232 and 233:
Engines and transmissions 217 is a
Page 234 and 235:
Page 236 and 237:
Engines and transmissions 221 own t
Page 238 and 239:
Fig. 6.16 The complex fuel system o
Page 240 and 241:
Page 242 and 243:
Page 244 and 245:
Page 246 and 247:
Page 248 and 249:
Engines and transmissions 233 and c
Page 250 and 251:
Page 252 and 253:
Engines and transmissions 237 Sensi
Page 254 and 255:
Page 256 and 257:
Page 258 and 259:
Engines and transmissions 243 the A
Page 260 and 261:
Page 262 and 263:
Fig. 6.37 Displays which may be see
Page 264 and 265:
Page 266 and 267:
Engines and transmissions 251 slipr
Page 268 and 269:
Engines and transmissions 253 a fau
Page 270 and 271:
Engines and transmissions 255 resul
Page 272 and 273:
Engines and transmissions 257 The p
Page 274 and 275:
Fig. 7.1 (a) A minimal control loop
Page 276 and 277:
Fig. 7.2 (a) When attitude conditio
Page 278 and 279:
fixed point in the hover despite ex
Page 280 and 281:
(a) (b) Fig. 7.4 (a) The earth beha
Page 282 and 283:
7.4 Compass errors A magnetic compa
Page 284 and 285:
In most cases the machine will have
Page 286 and 287:
Fig. 7.7 The remote indicator for a
Page 288 and 289:
is set by the use of a control knob
Page 290 and 291:
Fig. 7.11 The VSI (vertical speed i
Page 292 and 293:
Fig. 7.13 A chaser system which all
Page 294 and 295:
e modified if the gyro is in a movi
Page 296 and 297:
must be in steady flight when the D
Page 298 and 299:
arranged on opposite sides of the p
Page 300 and 301:
Fig. 7.19 The turn indicator is spr
Page 302 and 303:
7.17 Airflow-sensing devices The he
Page 304 and 305:
Fig. 7.24 Using RADAR signals. At (
Page 306 and 307:
Fig. 7.27 Transducers used in signa
Page 308 and 309:
Fig. 7.28 In PCM or digital signall
Page 310 and 311:
(a) Fig. 7.30 Using slicing and rec
Page 312 and 313:
Fig. 7.33 The false codes created i
Page 314 and 315:
Fig. 7.35 In a pure binary system,
Page 316 and 317:
Fig. 7.38 Producing two’s complem
Page 318 and 319:
Fig. 7.40 A power-assisted hydrauli
Page 320 and 321:
Fig. 7.42 An electro-hydraulic valv
Page 322 and 323:
path axis and the flybar axis diver
Page 324 and 325:
and autostabilization, it also prov
Page 326 and 327:
Fig. 7.47 The Lockheed gyrobar syst
Page 328 and 329:
Fig. 7.49 In the Lockheed AMCS, the
Page 330 and 331:
Fig. 7.50 With the autopilot diseng
Page 332 and 333:
or without the AFCS. Systems of thi
Page 334 and 335:
Thus if a VOR receiver detected a 9
Page 336 and 337:
7.29 Fault tolerance In feedback sy
Page 338 and 339:
8 Helicopter performance 8.1 Introd
Page 340 and 341:
Helicopter performance 325 column i
Page 342 and 343:
Helicopter performance 327 Fig. 8.1
Page 344 and 345:
Helicopter performance 329 to skid
Page 346 and 347:
(a) (b) Helicopter performance 331
Page 348 and 349:
Helicopter performance 333 Fig. 8.7
Page 350 and 351:
8.7 Climbingand descending Helicopt
Page 352 and 353:
Helicopter performance 337 In the c
Page 354 and 355:
Helicopter performance 339 of its c
Page 356 and 357:
8.10 Stability Helicopter performan
Page 358 and 359:
Fig. 8.13 The origin of pitchup ins
Page 360 and 361:
Helicopter performance 345 moment f
Page 362 and 363:
9 Other types of rotorcraft Althoug
Page 364 and 365:
Other types of rotorcraft 349 De la
Page 366 and 367:
Other types of rotorcraft 351 Fig.
Page 368 and 369:
Other types of rotorcraft 353 incre
Page 370 and 371:
Other types of rotorcraft 355 and c
Page 372 and 373:
Fig. 9.7 The Bell-Boeing Osprey til
Page 374 and 375:
(a) (b) Other types of rotorcraft 3
Page 376 and 377:
Page 378 and 379:
Page 380 and 381:
Other types of rotorcraft 365 a low
Page 382 and 383:
Other types of rotorcraft 367 the y
Page 384 and 385:
Page 386 and 387:
Other types of rotorcraft 371 the r
Page 388 and 389:
Other types of rotorcraft 373 For e
Page 390 and 391:
Page 392 and 393:
Page 394 and 395:
Acceleration: and force, 22-5 and v
Page 396 and 397:
Convertiplane, 11-12, 355-8 Bell-Bo
Page 398 and 399:
tanks, 219-20 turbine engines, 237-
Page 400 and 401:
Lockheed flybar system, 309-13 AMCS
Page 402 and 403:
centrifugal stiffening, 71, 100 and
Page 404 and 405:
tail/main rotor interaction, 173 te
show all

The Art of the Helicopter John Watkinson - Karatunov.net

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?