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| Àâòîðèçàöèÿ |
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| Ïîèñê ïî óêàçàòåëÿì |
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| Johnson W.C. — Mathematical and physical principles of engineering analysis |
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| Ïðåäìåòíûé óêàçàòåëü |
Absolute value, of complex number 184
Acceleration, of gravity 15
Action and reaction 13
Adequate physical equations 234
Admittance 191
Air resistance, on airplane wing 230—234
Air resistance, on falling body 156
Algebra, of complex numbers 182—186
Algebraic equations, roots of 109
Algebraic signs, in electrical equations 51—53
Algebraic signs, in mechanical equations 57—59
Algebraic signs, meaning of 48—50
Alternating currents 182—196
Alternating currents, combined with transient 194—196
Alternating currents, nonsinusoidal 239
Amplitude spectrum 267 274
Amplitude, of forced oscillation 190
Amplitude, of free oscillation 102
Analogies 28 67—70
Analogies, assumptions in 68
Analogies, duality in 69
Analogies, electric cable and heat flow 313
Analysis, harmonic 258—265
Angular velocity 21 57
Angular velocity, natural 102
Antinode 293
Assumptions, in electrical systems 51
Assumptions, in lumped-constant systems 280
Assumptions, in mechanical systems 56
Assumptions, use of 3—5
Ber and Bei functions 176
Bessel functions 168—179
Bessel functions of fractional order 174
Bessel functions of imaginary argument 175
Bessel functions of negative integral order 175
Bessel functions of positive integral order 172
Bessel functions of zero order 169
Bessel functions, derivatives of 173
Bessel functions, modified 175
Bessel functions, zeros of 170
Bessel's equation 169
boundary conditions 287
Boundary conditions for quenched slab 303
Boundary conditions for vibrating string 291
Boundary conditions in field plotting 323—325
Boundary conditions, applied by Fourier series 296
Branch currents 47
Buckingham  theorem 219
Cable, electric 313
Capacitance, from field plot 329
Cauchy — Riemann equations 321
Cauchy's equation 167
Change, of dependent variable 134—137
Change, of units 218—219
Characteristic dimension 231
Characteristic equation 97 109
Characteristic impedance 316
Characteristic modes 294
Charge resonance 200
Checking, dimensional 207—213
Checking, limiting case 214—215
Circuits with distributed constants 280 311—317
Circuits with time-varying parameter 162
Circuits, alternating-current 182—196
Circuits, analogies to 67—70
Circuits, coupled 25 31 55
Circuits, dimensional analysis of 208 229
Circuits, duals of 63—67
Circuits, Fourier-integral analysis of 266—275
Circuits, mesh currents in 47
Circuits, nonlinear, methods for 75—89 155 229
Circuits, setting up equations for 50—56
Circuits, voltages in 23—26 51
Circuits, with nonsinusoidal voltage 239 251 257
Coefficient of restitution 34
Coefficients of inductance 24—25
Coefficients, Fourier 241—243
Complementary function 118
Complete physical equations 234
Complex Fourier series 254—258
complex numbers 182—186
Complex numbers, absolute value of 184
Complex numbers, algebraic operations on 183—186
Complex numbers, vector representation of 183
Complex roots, in characteristic equation 101 109—110
Condenser, capacitance, by field plot 329
Condenser, energy stored in 12
Condenser, reactance of 194
Condenser, voltage across 51
Conduction, of electricity, by field plot 328
Conduction, of heat, analogy to cable 313
Conduction, of heat, by field plot 317—328
Conduction, of heat, equation for rate of 301
Conduction, of heat, in cylinder 176—179
Conduction, of heat, in quenched slab 300—305
Conduction, of heat, steady 307 309—311
Conduction, of heat, variable 300—308
Conformal mapping 328
Conjugate functions 321
Conservation of angular momentum 20—22
Conservation of energy 11—13
Conservation of momentum 19—20
Constant flux linkages, principle of 26—30 163
Constant, dimensional 234
Constant, propagation 317
Constant, time 99
Constant-current network 72
Convergence of Fourier series 249
Coordinates, choice of 45—48
Correlation of data by dimensional analysis 226—229
Cosine, hyperbolic 145
Coupled circuits, energy stored in 31
Coupled circuits, flux linkages in 25—26
Coupled circuits, force between 32
Coupled circuits, setting up equations for 51 55
Coupled circuits, voltage induced in 25—26 51 55
Coupling of rotating systems 22
Critical damping 103—104 108
Cubic equation, roots of 109—110
Current, alternating 182—196 239
Current, induced 29
Current, mesh 47
Current, nonsinusoidal 239 251 257
Current, transient 40
Curvilinear squares 320
D'Alembert's principle 18 56
Damped oscillations 102 106 122
Damped oscillations of elastic string 333
Damping constant, as system parameter 57
Damping constant, in oscillatory solution 102
Damping factor 102
Damping, critical 103 108
Damping, effect of, on resonance 197—201
Damping, force of 56—57
Damping, solid and viscous 56
De Moivre's theorem 186
Degree, of differential equation 95
Degree, of freedom 46—47
Dependent variable, change of 134—137
Dependent variable, in electrical systems 47
Dependent variable, in mechanical systems 45 58
Derivatives, initial 113—114 132
Derivatives, initial, operator method 137—145
Derivatives, of Bessel functions 173
Derivatives, of Fourier series 250
Derivatives, of hyperbolic functions 148
Derivatives, of rotating vectors 187—188
Derivatives, partial 282—285
Differential equation with constant coefficients 97—149
Differential equation with nonsinusoidal driving forces 251—254 257
| Differential equation, Bessel's 169
Differential equation, Cauchy — Riemann 321
Differential equation, Cauchy's 167
Differential equation, degree of 95
Differential equation, Euler's 167
Differential equation, exact 159
Differential equation, general solution, defined 96
Differential equation, graphical solution of 86—89
Differential equation, homogeneous linear 96—117 167
Differential equation, homogeneous linear, of first order 97—100
Differential equation, homogeneous linear, of general order 109—110
Differential equation, homogeneous linear, of second order 100—109
Differential equation, homogeneous linear, systems of 110—117
Differential equation, homogeneous, of first order 157
Differential equation, initial conditions for 43 96 113 132
Differential equation, initial conditions for, operator method 137—145
Differential equation, linear see also "Differential equation nonhomogeneous
Differential equation, linear, defined 96
Differential equation, linear, general first-order 161
Differential equation, linear, homogeneous 96—117
Differential equation, linear, nonhomogeneous 96 117—134 161
Differential equation, linear, systems of 110—117 130—134
Differential equation, linear, with constant coefficients 97—149
Differential equation, nonhomogeneous linear 96 117—134 161
Differential equation, nonhomogeneous linear, general method 127—130
Differential equation, nonhomogeneous linear, reduction to homogeneous 119—127
Differential equation, nonhomogeneous linear, systems of 130—134
Differential equation, nonhomogeneous linear, with several driving forces 130
Differential equation, normal form of 84
Differential equation, numerical solution of 82—86
Differential equation, order of 44 95
Differential equation, ordinary 95—179
Differential equations with sinusoidal driving forces 124 188—193
Differential equations with variable coefficients 161 167—179
Differential equations with variables missing 164—166
Differential equations with variables separable 155
Differential equations, oscillatory solutions of 101 106 122
Differential equations, particular integral of 117
Differential equations, particular solution defined 96
Differential equations, setting up 45—70
Differential equations, simultaneous 110—117 130—134
Differential operator in partial differential equations 298
Differential operator in systems of equations 112 131
Differential operator in writing equations 54
Differential operator, algebraic properties of 111
Differential, exact 159
Differential, total 283—284
Differentiation, of Fourier series 250
Differentiation, partial 282—285
Dimension, characteristic 231
Dimension, fundamental 207 211
Dimensional analysis 218—235
Dimensional analysis in changing units 218
Dimensional analysis in model theory 230—234
Dimensional analysis in plotting analytical results 222
Dimensional analysis of force on airplane wing 230
Dimensional analysis of heat transfer 226
Dimensional analysis of nonlinear transient 229
Dimensional analysis of velocity of sound in gas 224
Dimensional analysis, correlation of data 226—229
Dimensional analysis, derivation of formulas 219—224
Dimensional checking 207—213
Dimensional constants 234
Dimensional formulas, table of 212
Discontinuity, convergence at 249
Displacement impedance 192
Distributed constants 280—331
Driving force 118
Driving force, constant 121
Driving force, nonsinusoidal 239—275
Driving force, sinusoidal 124 182—201
Driving force, two or more present 130
Driving-point impedance 191
Dual equations 63
Dual systems 63—67
Dual systems in analogies 69
Elastic mounting, of machines 204
Electric fields, plotting of 317—331
Electrical energy 12
Electrical energy, stored in inductive circuits 30
Electrical momentum 27
Electrical systems with distributed constants 280 311—317
Electrical systems with nonsinusoidal voltage 239 251 257
Electrical systems with time-varying parameter 162
Electrical systems, analogies for 67—70
Electrical systems, choice of variables in 47
Electrical systems, dimensional analysis of 208 229
Electrical systems, duals of 63—67
Electrical systems, Fourier-integral analysis of 266—275
Electrical systems, nonlinear, methods for 75—89 155 229
Electrical systems, on a-c voltage 182—196
Electrical systems, setting up equations for 50—56
Electrical systems, voltages in 23—26 51
Electrical transmission lines 311—317
Electromechanical system 73
Energy, calculation of forces from 31—34
Energy, kinetic 11 21
Energy, law of conservation of 11—13
Energy, stored, in condenser 12
Energy, stored, in coupled circuits 31
Energy, stored, in linear inductance 31
Energy, stored, in nonlinear inductance 30
Energy, stored, in rotating systems 21
Energy, stored, in spring 11—12
Equations, adequate 234
Equations, Bessel's 169
Equations, Cauchy — Riemann 321
Equations, Cauchy's 167
Equations, characteristic 97 109
Equations, checking of 206—215
Equations, cubic 109—110
Equations, dual 63
Equations, Euler's 167
Equations, gravity forces in 58
Equations, Laplace's 307 309 321
Equations, ordinary differential 95—179 see
Equations, partial differential 280—331
Equations, roots of algebraic 109—110
Equipotential lines 318
Error function 164
Euler's equation 167
Euler's formula 102
Even function 245
Even harmonics, effect of 244
exact differential equations 159
Expansion, in Fourier series 239—275
Expansion, in interval 249
Factor, damping 102
Factor, integrating 161
Factorial 174
Field plotting 317—331
Field plotting, boundary conditions in 323—325
Field plotting, calculations in 327—331
Field plotting, method of 321—325
Field plotting, superposition in 325
Field plotting, three-dimensional 331
Field, near slot 324
Field, of charged rings 331
Field, of conductor near iron surface 326
Field, of poles of machine 324
Filter 74 278
Fischer — Hinnen harmonic analysis 258—263
Flux function 318
Flux linkages 23
Flux linkages in coupled circuits 26
Flux linkages in linear inductance 24
Flux linkages in nonlinear inductance 29
Flux linkages, analogy to momentum 28
Flux linkages, principle of constant 26—30 163
Flux plotting 317—331
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