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| Karman T., Biot A.M. — Mathematical Methods in Engineering |
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| Ïðåäìåòíûé óêàçàòåëü |
Separation of variables 8—9
Sequence, limit of 470
Sequence, of numbers 470
Sequence, of numbers, infinite 470
Series, Fourier 325—335 382—385
Series, power 293—294 471
Series, trigonometric 323—325 352—362
Shear force 268
shear modulus 271
Silent bell 206
simple harmonic motion 115
Simple root of algebraic equation 471
Simpson's rule 4—5
Single-valued function 470
Singular points 7
Singular points of differential equations 148—157
Singular solutions, of differential equations 13—14
Small oscillations, of airplane 250—255
Small oscillations, of conservative systems 162—166
Small oscillations, of nonconservative systems 216—220
Solution, general, of differential equations 3 9 20 24 32—33 36—42
Solution, general, of frequency equation by matrices 196—204
Solution, general, of linear differential equations, oscillatory 311—313
Solution, of algebraic equations 191—196 246—249
Solution, particular, of differential equations 3 7 9 13—14 33 40 42
Solution, singular, of differential equations 13—14
Spectrum of response to force 390—392
Spectrum of unit-step function 394—395
Spectrum, interval 392
Spectrum, of force 390—392
Spectrum, of frequencies, of band-pass filter 464
Spectrum, of frequencies, of beams 287—288
Spectrum, of frequencies, of crankshaft 460
Spectrum, of frequencies, of string 285
Spectrum, of harmonic components 392
Spiral point 153—155 157
Spring constant 164 365
Spring constant, dynamic 376—378
Spring, impedance of 373—374
Square matrix 199 472
Squaring roots of algebraic equations 194—196
Stability conditions, for cubic equations 242—244
Stability conditions, for equilibrium of system 97
Stability conditions, for oscillating systems 242—246
Stability conditions, for quartic equations 244—246
Stability, of airplane, dynamic 252—255
Stability, of airplane, longitudinal 249—255
Stability, of airplane, parameter of 252 255
Stability, of airplane, static 252—255
Stability, of column 297—299
Stability, of governor 258
Stability, of vertical top 238—242
Stable equilibrium 97 164 171
Stable equilibrium, position for 97—98
Standard forms, of Bessel functions 56—59
Standard forms, of elliptic integrals of first kind 121 123—125
Static balance, of aileron 227
Static coupling 165—166
Static deflection, of normal modes 190
Static response, of system to unit force 419
Static stability, of airplane 252—255
Statically coupled system, frequency equation of 171
Steady state 365—366
Steady-state oscillations 365 388
Step-by-step method 14
Stodola's method for determining characteristic values 317
String 260—267
String insulator 452—453
String polygon 263—264
String, deflection of 260—267
String, elastically supported 266—267
String, harmonic oscillation of 284—286
String, influence function of 266
String, modes of vibration of 284—285
String, under tension 264—267
Subsidence 131
Superposition, of periodic motions 378—382
Superposition, principle of 378—379 388 403
Suspension bridge, theory of 277—282
Symbolic equations of operational calculus 410—416
Symmetrical top 85—89
| Symmetrical top, kinetic energy of 94
Symmetrical top, vertical, stability of 238—242
Tapered column, buckling of 299—301
Tension of suspension bridge cable 278 281—283
Tension, in strings 261—267
terminal velocity 142
Test function for algebraic equations 244—247
Theorem of virtual displacements 94—98
Three-moment equation 442
Top 85—89
Top, symmetrical 86—89
Top, symmetrical, kinetic energy of 94
Top, vertical, nutation of 238
Top, vertical, precession of 238
Top, vertical, stability of 238—242
Torsional divergence 223
Torsional rigidity, of beams 270
Transcendental equation, for cable tension 282
Transcendental equation, for frequencies of beams 286—294
Transcendental number 471
Transfer impedance 372 422—423
Transformation, affine 156 186
Transformation, linear, of coordinates 184—186
Transient phenomena 388—436
Transient state 365—366 388
Trigonometric functions, with imaginary argument 25—26 28—29
Trigonometric series 323—325 352—362
Trigonometric series, infinite 471
Truss, buckling of 445—451
Twisting moment 268
Uniform beam, oscillations of 286—289 294—295
Uniform column, buckling of, 295—299 301—304
Uniformly convergent infinite series 471
Unit force, static response to 419
Unit voltage-impulse 400—401
Unit-impulse function 396—397
Unit-impulse function, response to 397—403 415—416
Unit-step function 394—395
Unit-step function, response to (see "Indicial admittance")
Unit-step function, spectrum of 394—395
Variables, separation of 8
Vectorial representation, of alternating current 369—370
Vectorial representation, of alternating electromotive force 369—370
Vectorial representation, of complex quantities 367
Vectorial representation, of periodic displacement 367—368
Vectorial representation, of periodic force 367—368
Vectors, addition and multiplication of 71—74
Vectors, argument of 367
Vectors, modulus of 367
Vectors, phase of 367
Vectors, product 72—74
Velocity height 146
Velocity of propagation in mechanical chain 462
Velocity terminal 142
Velocity, generalized 102
Vertical top, nutation of 238
Vertical top, precession of 238
Vertical top, stability of 238—242
Vianello's method for determining characteristic values 317
Vibration damper 232—237
Vibrations (see "Oscillations")
Virtual displacements 94—98
Virtual work, of generalized forces 102—103
Voltage drop, in insulator chain 451—453
Voltage, periodic, impressed on electric circuit 380—382 385
Voltage, suddenly applied, to electric circuit 399—400
Voltage, suddenly applied, to electric network 420—423
Voltage-impulse, unit 400—401
Vortex point 149 153 155 157
Wandering of energy 170
Wave filter, cut-off frequencies of 463—467
Wave filter, electric 463—467
Wave length, in mechanical chain 462
Wave trap 466
Wave, progressing in mechanical chain 461—464
Weber's form of Bessel functions of second kind 50 63—64
Wing flutter of airplanes 220—228
Words and phrases 469—476
Work 89
Work, virtual 97—98
Work, virtual of generalized forces 102—103
Young's modulus 209
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