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| Johnson W.C. — Mathematical and physical principles of engineering analysis |
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| Предметный указатель |
Principle, of action and reaction 13
Principle, of conservation of energy 11—13
Principle, of conservation of momentum 19—22
Principle, of constant flux linkages 26—30
Principle, of duality 63—67
Principle, of superposition 13—14
Principle, of virtual displacement 31—34
Product solution 289—292
Propagation constant 317
Prototype 231
Pulse function 270
Quenched slab 300—305
Radius of gyration 17
Real part of complex number 186
Rectifier voltage, harmonics in 257
Rectilinear translation 16
Recursion formula 172 174
Repeated roots 103 110
Report 6—8
Resistance 51
Resonance 124 197
Resonance curves 198
Resonance of mass on spring 196—201
Resonance of vibrating string 295
Resonance with harmonic 251—254 267
Resonance, phase shift in region of 199
Resonance, relation of, to natural frequency 200
Restitution, coefficient of 34
Reynolds number 227 232
Rod, equation for vibration 333
Roots of equations 109—110
Roots, complex 101 110
Rotating systems, angular momentum of 20—22
Rotating systems, coupling of 22
Rotating systems, torques in 57—58
Rotating vectors 186
Rotating vectors, representing harmonics 255
Rotation of rigid body 16—18
Rule, Simpson's 78—79
Rule, trapezoidal 76—78
Saturation curves 29 30
Secondary quantities 220
Self-excited oscillations 93
Self-inductance 24 51—53
Separation of variables 155—156
Series, Fourier 239—275
Setting up equations 45—70
Setting up equations for coupled circuits 55—56
Setting up equations for distributed systems 285—313
Setting up equations for electrical circuits 50—56
Setting up equations for mechanical systems 56—63
Setting up equations, free-body method 61—63
Simpson's rule 78
Simultaneous differential equations 110—117 130—134
Sine, hyperbolic 145
Sinusoids, vector representation of 182—201
Slug 15
Small-squares plot 318
Solid damping 56
Solution, general and particular 96
Solution, of differential equation 96
Solution, steady state 40 117
Solution, transient 40 118
Sound, velocity of, in gas 224—225
Spectrum, amplitude 267 274
Spectrum, phase 274
Spring constant 12 57
Spring, as distributed system 280
Spring, energy stored in 11—12
Spring, linear 12 57
Spring, nonlinear 11
Square wave, applied to resonant system 251—254 267
Square wave, Fourier analysis of 243 257
Squares, curvilinear 320
Standing wave 293
Steady heat flow 305—311
Steady-state solution 40 117
Steady-state solution, nonsinusoidal 251—254 257—258
Steady-state solution, sinusoidal 124 188—193
Step function 273
Step-by-step integration 82—84
String, vibration of 285—297
Successive initial derivatives 113 132
Successive initial derivatives, operator method 137—145
Superposition for initial conditions 141—145
Superposition, of driving forces 130
Superposition, of field plots 325
Superposition, of harmonics 252 257
Superposition, principle of 13—14
| Systems with distributed constants 280—331
Systems, analogous 67—70 74
Systems, dual 63—67
Systems, of differential equations 110—117 130—134
Tangent, hyperbolic 146
Theorem, Buckingham  219
Theorem, de Moivre's 186
Theorem, mean value 286
Three-dimensional field plotting 331
time constant 99
Torque, in mechanical systems 57—58
Torque, inertia 17
Tracing errors 210
Transfer impedance 191
Transform, Fourier 269
Transient 40 118
Transient heat flow 300—308
Transient in RL series circuit 98—100
Transient with sinusoidal driving force 122 124—127 194—196
Transient, critically damped 103 108
Transient, exponential 99 101 105
Transient, Fourier integral analysis of 266—275
Transient, nonlinear, methods for 75—89 155 229
Transient, oscillatory 101—103
Transient, oscillatory, combined with forced oscillation 122 124—127
Transient, oscillatory, effect of damping on 106
Transient, oscillatory, of mass on spring 106 122
Transient, overdamped 104—106
Translation, rectilinear 16
Transmissibility 204
Transmission lines 311—317
Trapezoidal rule 76—78
Traveling waves 293—295 314
Triangular wave, Fourier analysis of 247 257
Trigonometric functions 145
Trigonometric functions with imaginary argument 148
Trigonometric series 239—275
Tuned flywheel 204
Undamped oscillation 103 108 201
Undetermined coefficients 119
Unit step function 273
UNITS 207
Units of force and mass 15
Units of mechanical constants 57—58
Units, changing 218—219
Variable heat flow 300—308
Variable parameter 162
Variables, change of dependent 134
Variables, choice of 45—48
Variables, separation of 155
Vector representation, of complex number 183
Vector representation, of harmonics 255
Vector representation, of sinusoids 182—201
Velocity impedance 192
Velocity of falling body 155—156
Velocity of sound in gas 224
Velocity, angular 21 57
Velocity, phase 293 295 314
Vibration absorber 204
Vibration instrument 203—204
Vibration of membrane, equation for 181
Vibration of rod, equation for 333
Vibration of string 285—297
Vibration, damped 102 106 122
Vibration, forced 124 182
Vibration, forced, combined with free vibration 122 124—127
Vibration, forced, nonsinusoidal 251—254 267
Vibration, forced, of mass on spring 196—201
Vibration, free 100—103
Vibration, free, of mass on spring 106 122
Vibration, isolation of 204
Vibration, modes of 294
Vibration, natural frequency of 102 295
Virtual displacement 31—34
Viscous damping 56
Voltage gradient, by field plot 329
Voltage, across lumped impedances 51
Voltage, analogies to 68—69
Voltage, as dependent variable 135
Voltage, induced 23—26 51
Voltage, induced, in coupled circuits 25—26 51 55
Wave length 295
Wave length on transmission line 314
Wave, standing 293
Wave, traveling 293—295 314
Wind-tunnel testing 233
Wing, force on 230—234
Work 31
Zeros of Bessel functions 170
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