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Librescu L., Song O. — Thin-Walled Composite Beams:Theory and Application
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Название: Thin-Walled Composite Beams:Theory and Application
Авторы: Librescu L., Song O.
Аннотация: This is the first monograph devoted to the foundation of the theory of composite anisotropic thin-walled beams and to its applications in various problems involving the aeronautical/aerospace, helicopter, naval and mechanical structures. Throughout the theoretical part, an effort was made to provide the treatment of the subject by using the equations of the 3-D elasticity theory. Non-classical effects such as, transverse shear, warping constraint, anisotropy of constituent materials yielding the coupling of twist-bending(lateral), bending (transversal)-extension have been included and their implications have been thoroughly analyzed. Thermal effects have been included and in order to be able to circumvent their deleterious effects, functionally graded materials have been considered in their construction. Implications of the application of the tailoring technique and of the active feedback control on free vibration, dynamic response, instability and aeroelasticity of such structures have been amply investigated. Special care was exercised throughout this work to address and validate the adopted solution methodologies and the obtained results against those available in the literature and obtained via numerical or experimental means.
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Рубрика: Технология /
Статус предметного указателя: Готов указатель с номерами страниц
ed2k: ed2k stats
Издание: 1st edition
Год издания: 2006
Количество страниц: 600
Добавлена в каталог: 16.11.2009
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Предметный указатель
Acceleration feedback control 346 351—353
Active distributed control 590
Actuating voltage 150
Adaptive beams 219
Adaptive capability 453
Adaptive materials technology 3
Adaptive rotating thin-walled beams 279
Adaptive structure technology 144 225
Admissible functions 130 142
Aerodynamic indicial functions 513
Aeroelastic control 518
Aeroelastic instability 3
Aeroelastic instability, dynamic 513 514
Aeroelastic instability, static 499 503 504 508
Aeroelastic response, dynamic 515
Aeroelastic response, static 503 509 518
Aeroelastic tailoring 2
Aeroelasticity, dynamic 502 513
Aeroelasticity, static 502 503
Aircraft wing 2 122 500
Angle of incidence 475
Angle of sweep 503
Angular velocity 438
Anisotropic 2 557 558
Anisotropy 233 243 395 559 590
Antisymmetric laminates 582
Augmented performance index 196
Axisymmetric beam 399
Balanced laminates 582
Bang-bang control 207
Base vectors, contravariant 272
Base vectors, covariant 271 373
Beam taper ratio 204
Bending-twist coupling 131 136 504 508 510 515 519 530
Bending-twist divergence 506
Bernoulli — Euler beam model 32 169 207 376 382
Betti's reciprocal theorem 112 116
Bi-convex cross-section 131 140 183 202 507
Bifurcation of natural frequencies 412 428 448 457 466
Bilinear form 111
Bimoment 58
Blast load 165 170 203
Boley — Barber — Thornton (BBT) approach 484 491 492
Boom 475
Boundary moment control 279 453 489 518
Boundary-value problem 113
Box beam 154
Bredt — Batho equations 23
Bredt's formula 34
Buckling coefficient 421 430
Buckling load 414 415 423 424 430 433 461
Cauchy stress tensor 55
Center manifold theory 470
Centrifugal acceleration 233 236 332 399
Centrifugal destiffening 261 366
Centrifugal inertia 271
Centrifugal rotatory effect 241
Centrifugal stiffening 243 248 259 261 280 289 366
Centrifugal warping 241 364
Circular booms 480
Circular cross-section beam 22
Circular cylindrical shaft 409
Circumferentially Asymmetric Stiffness (CAS) 91
Circumferentially Uniform Stiffness (CUS) 88
Clapeyron's theorem 111
Closed cross-section beams 586
Closed-loop eigenvalues 153
Closed/open contour 8
Coalescence of two eigenfrequencies 403 431 446
Coefficients, hygrothermal 559 560 563
Coefficients, thermal 559 560 563
Composite materials 8 121 475 557
Composite thin-walled beams, multicell 33
Composite thin-walled beams, single cell 18
Constitutive equations, 1-D elastic body 426 480 557
Constitutive equations, 2-D elastic body 575 584 586
Constitutive equations, 3-D elastic body 557 564 574
Constrained warping 13
Constraint equation 196
Contour (primary) 18
Contour origin 15 20
Contravariant metric tensor 272
Control induced damping 156
Convergence of the solution 186 278
Converse piezoelectric effect 3 279 590
Coriolis acceleration 233 332 399 419 427
Coriolis effect 236 242 400 420
Corrected lift-curve slope coefficient 503
Cost functional 190
Coupled thermal-structural analysis 479
Coupling stiffness quantities 81
Covariant base vectors 271 273
Covariant symmetric metric tensor 271
Critical compressive load 414
Critical spinning speed 405 448
Cross-ply beam 99 125
Cross-section non-deformability 29 48
Damped eigenfrequency 158 223 349 487
Damping 69 79 153 157 159 349 351 487
Dirac delta function 215 440
Direct piezoelectric effect 590
Displacement field 11 28 527
Disturbance temperature 477
Divergence 261
Divergence instability 404 411 421 429 437 445 448 452 457 461 462 466
Divergence of swept wings 504—507
Divergence theorem 54
Divergence, aeroelastic 499 503
Divergence, speed 508
Divergence, spin speed 421 449
Domain of instability 404 405 408
Dynamic aeroelasticity 512
Dynamic pressure 503
Dynamic response to blast pulses 186
Dynamic response to sonic boom 227
Dynamic response to time-dependent loads 116 172 179
Dynamic response, closed-loop 188 207 491
Dynamic response, control 189
Dynamic response, open-loop 192 203 204 491
Dynamic response, thermally induced 487
Edge loads 63
Effect of boundary conditions on divergence and flutter instabilities of spinning beams 411—416
Effect of boundary conditions on frequency-spin rate interaction 407 408
Effect of gyroscopic terms on divergence instability of spinning beams 405 412 415 452
Effect of gyroscopic terms on eigenfrequencies 405 442
Effect of gyroscopic terms on flutter boundary 415 451 452
Effect of ply-angle on aeroelastic divergence 508 509
Effect of ply-angle on divergence instability of spinning beams 407 409 412 413 415
Effect of ply-angle on dynamic response 187 193 204 516
Effect of ply-angle on eigenfrequencies 133—138 261 544 548
Effect of ply-angle on flutter boundary 451
Effect of ply-angle on static aeroelastic response 510—512
Effect of ply-angle on static response 540 546
Effect of rotatory inertia on dynamic response 185
Effect of rotatory inertia on eigenfrequencies 138
Effect of rotatory inertia on flutter boundary 403 416
Effective angle of attack 504 509
Eigenvalue problem 125 129 402
Einstein summation convention 558 590
Elastic couplings, bending-bending 398 444 475 481
Elastic couplings, bending-twist 93 136 148 501 508
Elastic couplings, extension-bending 94 137 528
Elastic couplings, extension-twist 245 353 364
Elastic couplings, twist-transverse shear 501
Electric displacement 149 199
Equations of motion 64 65 71 84 87
Excitation frequency 178
Explosive blast 164
Extended Galerkin Method (EGM) 117 128 142 177 186 195 250 274 278 288 337 346 364 436 491 492 512 515 539 549
Feedback control 149 182 192 195 202 221 279 347 453 466 490 519
First Lyapunov quantity 470
First order transverse shear deformation theory (FSDT) 73 75
Flapping of rotating beams 245
Flexibility matrix of twist rate 35
Flight speed regimes 513
Flutter instability 403 411 414—416 431—434 437 445 452 462 467 516
Flutter spin speed 422
Free torsion 13
Free vibration 121 544 548
Free warping 134—136
Frequency crossing 259 260
Frequency response function 176
Functionally graded materials (FGMs) 4 5 310 426
Gauss' theorem 107
Generalized (modal) coordinates 487
Generalized damping coefficients 79
Generalized load 179 487
Generalized velocities 77
Generally orthotropic material 568
Geometrically non-linear theory 27 45 53 66
Geometrically nonlinear rotating (spinning) beams 375 467
Governing equations corresponding to bending-bending elastic coupling 123 146 481 535
Governing equations corresponding to bending-twist elastic coupling 124 146 166 501 530
Governing equations corresponding to extension-bending 124 528
Green — Lagrange's strain tensor 29 375
Gyroelastic systems 437
Gyroscopic Coriolis force 242 412 446 457
Gyroscopic effects 405 412 415 428 442 452
Gyroscopic system 395 401
Hamilton's principle 53 128 215 439
Heat flux 477
Helical multifilament concept 265 274
Higher order shear deformation theory (HSDT) 44 73
Higher-order stress couple 56
Hub radius 234 305
I-beam 526
Indicial function method 513 514
Induced damping 156 159 281 349
Induced strain actuation 144 345 518
Inertia and gyroscopic terms 378
Inertial warping 241
Initial conditions 86
Instantaneous Optimal Control (IOC) 195 196 204 230
Instantaneous Optimal Control (IOC) 195 196 204 230
Instantaneous Optimal Control (IOC) 195 196 204 230
Inverse Fourier transform 174
Inverse Fourier transform 174
Inverse Laplace transform 128
Inverse Laplace transform 128
Isotropic 562 563
Isotropic 562 563
Kinematic boundary conditions 130
Kinematic boundary conditions 130
kinetic energy 54
kinetic energy 54
Lagging of rotating blades 245
Lagging of rotating blades 245
Lagging of rotating blades 245
Lagrange's strain tensor 30 55
Lagrange's strain tensor 30 55
Lagrange's strain tensor 30 55
Lagrangian multiplier 197
Lagrangian multiplier 197
Laplace transform 125 143 173 508 512
Laplace transform 125 143 173 508 512
Linear beam theory 67
Linear beam theory 67
Linear beam theory 67
Linear quadratic regulator (LQR), classical 190 195 204 228
Linear quadratic regulator (LQR), classical 190 195 204 228
Linear quadratic regulator (LQR), classical 190 195 204 228
Linear quadratic regulator (LQR), instantaneous 204 230
Linear quadratic regulator (LQR), instantaneous 204 230
Linear quadratic regulator (LQR), instantaneous 204 230
Load factor 503
Load factor 503
Loaded (unloaded) spinning beam 404
Loaded (unloaded) spinning beam 404
Loaded (unloaded) spinning beam 404
Mach number 514
Mach number 514
Massive bodies 7
Massive bodies 7
Massive bodies 7
Membrane shear strain 14
Membrane shear strain 14
Membrane shear strain 14
Mid-line 9
Mid-line 9
Middle surface 9
Middle surface 9
Mode shapes 262 308 342 371
Mode shapes 262 308 342 371
Mode shapes 262 308 342 371
Modified LQR 196
Modified LQR 196
Modified LQR 196
Modified shell-stiffness quantities 81
Modified shell-stiffness quantities 81
Modified shell-stiffness quantities 81
Modified strip analysis 512
Modified strip analysis 512
Modified strip analysis 512
Modulus-weighted thickness 22 34
Modulus-weighted thickness 22 34
Modulus-weighted thickness 22 34
Monoclinic 559 563
Mori — Tanaka scheme 328 330 435 436
Mori — Tanaka scheme 328 330 435 436
Mori — Tanaka scheme 328 330 435 436
Mounted stores 213
Mounted stores 213
Mounted stores 213
Multicell 8 33
Multicell 8 33
Multicell 8 33
N-shaped pressure pulse 172
N-shaped pressure pulse 172
N-shaped pressure pulse 172
Negative definite 445
Negative definite 445
Non-classical effects 5 395
Non-classical effects 5 395
Non-classical effects 5 395
Non-conservative systems 395
Non-conservative systems 395
Non-conservative systems 395
Non-linear beam theory 27
Non-linear beam theory 27
Non-linear beam theory 27
Non-shearable beam theory 26 399
Non-shearable beam theory 26 399
Non-shearable beam theory 26 399
Non-shearable shaft 411
Non-shearable shaft 411
Non-shearable shaft 411
Non-uniform cross-section beams 139 501
Non-uniform cross-section beams 139 501
Non-uniform cross-section beams 139 501
Non-uniform torsion 13
Non-uniform torsion 13
Non-uniform torsion 13
Nonlinear Coriolis effect 383
Nonlinear Coriolis effect 383
Nonlinear Coriolis effect 383
Norm 115 487
Norm 115 487
Normal mode approach 178
Normal mode approach 178
Normal mode approach 178
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