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Librescu L., Song O. — Thin-Walled Composite Beams:Theory and Application
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.


Язык: en

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

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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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