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Ardema M.D. — Newton-Euler Dynamics |
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Предметный указатель |
Acceleration 4
Aircraft equations of motion 137—139 155—158
Angular acceleration 74 85
Angular velocity 18 71 83
Assumptions of dynamics 2
Azimath 150
Balancing, static and dynamic 222 223
Basic kinematic equation 20 80 86
Basis vectors 3
Center of mass 110 111
centripetal acceleration 82
Components, cylindrical 48 139
Components, intrinsic 39 41
Components, radial-transverse 16 17 136
Components, rectangular 8 136 139
Components, spherical 51 52 139
Components, tangential-normal 10 12 136
Composition relations for angular velocity and acceleration 84 85
Conservative force 272
Continuum of mass 115
Coordinate transformations 52
Coordinates, cylindrical 46
Coordinates, polar 16
Coordinates, rectangular 7 37
Coordinates, spherical 50 150
Coriolis acceleration 82
Coriolis effect 149
Dead weight 227
Degrees of freedom 124—126
dynamic loads 216 221
Eigenvalue problem 67 173
Elevation 150
energy equation 267 282
Equations of 242
Equivalent force systems 204
Euler's angles 232—234
Euler's equations 197
Euler's theorem 64
Flexure 40
Forces, external and internal 110 193
Frame of reference 3
Frame of reference, inertial 2 140 141 144—148
Frenet formulas 41
Frenet triad 40
Gradient vector 306
Gravitation 122—124 272 273
Gravitational force per unit mass (g) 123 148
Gyrocompass 255
Gyroscope 254 255
Gyroscopic motion 239
Holonomic constraint 125 126
Inertia matrix 168
Instantaneous axis of zero velocity 231
Kinematics 1
kinetic energy 267 274
Kinetic energy for rigid body 281 285 286
| Kinetic energy for systems of rigid bodies 287
Kinetics 1
Latitude 145
Line of nodes 239
Linear momentum 109 166
longitude 145
Mass 2 107
Mass properties engineering 186
Matrix algebra 53
Matrix, identity 54
Matrix, inverse 54
Mechanical energy 274 282
Moments of forces 194
Moments of inertia 167
Newton's laws of motion 107 108 111 135 194 197
Nutation 239
Osculating plane 42
Parallel axis theorem 179
Particle 107
potential energy 271—272
Power 265
Precession 239
Principal axes of inertia 172
Principal moments of inertia 172
Problems, basic dynamic 1
Products of inertia 167
Radius of curvature 12
Radius of gyration 181
Relative velocity and acceleration 21 22 81 82 86
Rigid body 2 113—115 118—122
Rigid body motion 197
Rotation matrix 66
Rotational mass symmetry 175
Speed 10
Spin 239
State variable form 138
Steady precession 243 244
Steady precession with zero moment 246
Steady precession, about axis normal to spin axis 249
Time 2
Top, motion of 239
Torsion 41
Unit vector transformations 11
Universal law of gravitation 122
Vectors 301
Vectors, derivatives of 305
Vectors, scalar product 302
Vectors, triple scalar product 305
Vectors, triple vector product 305
Vectors, vector product 303
Velocity 4
Weather patterns 153—155
Weight 124
Work 261
Work integral, forms of 262—264
Work, done by force couple 265
Work, done by internal forces in a rigid body 277
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