Buckling and Postbuckling Structures: Experimental, Analytical and Numerical Studies

✍ Scribed by B. G. Falzon, B. G. Falzon, Aliabadi. M. H.

• Publisher: Imperial College Press
• Year: 2008
• Tongue: English
• Leaves: 526
• Series: Computational and Experiemental Methods in Structures
• Edition: illustrated edition
• Category: Library

✦ Synopsis

This book provides an in-depth treatment of the study of the stability of engineering structures. Contributions from internationally recognized leaders in the field ensure a wide coverage of engineering disciplines in which structural stability is of importance, in particular the analytical and numerical modelling of structural stability applied to aeronautical, civil, marine and offshore structures. The results from a number of comprehensive experimental test programs are also presented, thus enhancing our understanding of stability phenomena as well as validating the analytical and computational solution schemes presented. A variety of structural materials are investigated with special emphasis on carbon-fibre composites, which are being increasingly utilized in weight-critical structures. Instabilities at the meso- and micro-scales are also discussed. This book will be particularly relevant to professional engineers, graduate students and researchers interested in structural stability.

Contents: Experimental Studies of Stiffened Composite Panels under Axial Compression, Torsion and Combined Loading (H Abramovich); Buckling and Postbuckling Tests on Stiffened Composite Panels and Shells (C Bisagni); Mode-Jumping in Postbuckling Stiffened Composite Panels (B G Falzon); The Development of Shell Buckling Design Criteria Based on Initial Imperfection Signatures (M W Hilburger); Stability Design of Stiffened Composite Panels Simulation and Experimental Validation (A Kling); Anisotropic Elastic Tailoring in Laminated Composite Plates and Shells (P M Weaver); Optimization of Stiffened Panels using Finite Strip Models (R Butler & W Liu); Stability of Tubes and Pipelines (H A Rasheed & S A Karamanos); Imperfection-Sensitive Buckling and Postbuckling of Spherical Shell Caps (S Yamada & M Uchiyama); Nonlinear Buckling in Sandwich Struts: Mode Interaction and Localization (M A Wadee); The Boundary Element Method for Buckling and Postbuckling Analysis of Plates and Shells (M H Aliabadi & P M Baiz); Progressive Failure in Compressively Loaded Composite Laminated Panels: Analytical, Experimental and Numerical Studies (S Basu et al.); Micro- and Meso-Instabilities in Structured Materials and Sandwich Structures (T Daxner et al.).

✦ Table of Contents

CONTENTS......Page 13
Preface......Page 7
1.1 Introduction......Page 22
1.2 Testing of stiffened composite panels under axial compression......Page 26
1.3 Testing of stiffened composite panels under torsion and combined torsion and axial compression......Page 30
1.4 Experimental results – Axial compression......Page 37
1.5 Experimental results – Torsion and combined loading......Page 43
1.6 Conclusions......Page 57
1.7 Acknowledgements......Page 58
1.8 References......Page 59
2.1 Introduction......Page 61
2.2 Test specimens......Page 64
2.3 Test equipment......Page 68
2.4 Test procedures and measurements......Page 70
2.5 Results on shells......Page 72
2.6 Results on panels......Page 80
2.7 Conclusions......Page 83
2.9 References......Page 85
3.1 Introduction......Page 87
3.2.1 Hat-stiffened panel (I)......Page 90
3.2.2 I-stiffened panel......Page 93
3.3.1 Background......Page 101
3.3.2 The arc-length method......Page 102
3.3.3 Dynamic methods......Page 103
3.3.4 An automated combined quasi-static/ pseudo-transient method......Page 106
3.4.1 I-stiffened panel......Page 109
3.4.2 Hat-stiffened panel (II)......Page 112
3.5 Concluding remarks......Page 118
3.7 References......Page 119
4. The Development of Shell Buckling Design Criteria Based on Initial Imperfection Signatures M. W. Hilburger, NASA Langley Research Centre, USA......Page 121
4.1 Introduction......Page 122
4.2.1 Test specimens......Page 125
4.2.2 Imperfection measurements......Page 127
4.2.3 Test apparatus and tests......Page 130
4.3.1 Finite-element models......Page 131
4.4.1 High-fidelity analysis models......Page 132
4.4.2 Typical high-fidelity analysis results......Page 136
4.5 Analysis-based high-fidelity design criteria......Page 146
4.5.1 Manufacturing imperfection signature......Page 147
4.5.2 Response of compression-loaded shells......Page 151
4.5.3 Response of shells subjected to combined axial compression and torsion......Page 154
4.6 Concluding remarks......Page 158
4.7 Acknowledgements......Page 159
4.8 References......Page 160
5.1 Introduction......Page 163
5.2 Stability design scenario......Page 164
5.3 Design of the test structures......Page 166
5.4 Experiment......Page 168
5.4.1 Test structure......Page 171
5.4.2 Preparation of the test structure......Page 173
5.4.3 Test......Page 175
5.4.4 Results......Page 176
5.5.1 Numerical methods......Page 179
5.5.2 Analysis procedure......Page 182
5.5.3 Finite element model......Page 184
5.5.4 Results......Page 186
5.6 Validation......Page 188
5.6.1 Introduction......Page 189
5.6.2 Validation approach......Page 190
5.6.3 Results......Page 191
5.6.4 Transferability......Page 195
5.7 Conclusions and outlook......Page 196
5.8 References......Page 197
6.1 Introduction......Page 199
6.2.1 Introduction......Page 203
6.2.2 Initial buckling of anisotropic plates......Page 204
6.2.3 Significance of lamination parameters......Page 209
6.2.4 Postbuckling of anisotropic plates......Page 210
6.2.5 Nondimensional parameters-bounds on values of parameters......Page 212
6.3.1 Introduction......Page 214
6.3.2 Combined loading......Page 215
6.3.3 Development of model......Page 217
6.3.4 Compression loading......Page 219
6.3.5 Biaxial loading......Page 226
6.3.6 Uniform shear loading......Page 232
6.3.7 Postbuckling of plates under compression loading......Page 239
6.4 Cylindrical shells under compression loading......Page 242
6.7 References......Page 244
7.1 Introduction......Page 247
7.2 Buckling analysis......Page 250
7.3 Optimum design strategy......Page 251
7.3.1 Panel level optimisation......Page 253
7.3.2 Laminate level optimisation......Page 254
7.3.3 Convergence test......Page 257
7.4.1 Validation of strip method for local buckling of composite stiffened panels......Page 258
7.4.2 Validation of an optimum design......Page 264
7.4.3 Optimisation of composite wing cover panels......Page 270
7.5 Concluding remarks......Page 277
7.7 References......Page 278
8.1 Introduction......Page 281
8.2.1 Stability of elastic cylinders under uniform external pressure......Page 282
8.2.2 Stability of pressurized long elastic cylinders under bending......Page 290
8.3 Stability of metal tubes and pipelines......Page 295
8.3.1 Numerical finite element technique......Page 296
8.3.2 Buckling of inelastic cylinders under external pressure......Page 301
8.3.3 Stability of inelastic cylinders under bending and pressure......Page 303
8.3.4 Propagating buckles in metal pipelines......Page 307
8.4.1 Stability of anisotropic laminated rings and long cylinders......Page 310
8.4.2 Stability of delaminated long cylinders under external pressure......Page 318
8.5 References......Page 328
9.1 Introduction......Page 331
9.2 Theoretical background: mixed finite element analytical method......Page 333
9.3 Experimental background: initial imperfection measurement......Page 338
9.4 Agreement on buckling loads......Page 340
9.5 Prebuckling deflection modes near the buckling points......Page 344
9.6 Postbuckling deflection behaviour at the static equilibrium state......Page 345
9.7 Vibration behaviour just after buckling......Page 351
9.9 References......Page 355
10.1 Introduction......Page 357
10.2 Nonlinear buckling model......Page 359
10.2.1 Overall buckling......Page 360
10.2.2 Interactive buckling......Page 362
10.2.4 Perfect isotropic struts with soft cores......Page 370
10.3.1 Core orthotropy......Page 374
10.3.2 Face–core delamination......Page 377
10.3.3 Combined loading......Page 382
10.4.1. Doubly-symmetric panels......Page 383
10.4.2 Monosymmetric panels......Page 389
10.5 Concluding remarks......Page 393
10.7 References......Page 395
11.1 Introduction......Page 397
11.2.1 Kinematic equations......Page 400
11.2.2 Equilibrium equations......Page 401
11.2.3 Constitutive equations......Page 402
11.2.4 Large deflection theory......Page 403
11.3 Boundary element method for shear deformable plates and shallow shells......Page 404
11.3.1 Rotations and out of plane integral equations......Page 405
11.4 Governing integral equations for linear buckling......Page 406
11.4.2 Integral formulation for the linear buckling problem......Page 407
11.5 Multi region formulation......Page 409
11.6 Governing integral equations for postbuckling......Page 411
11.6.2 Nonlinear in-plane integral equations......Page 412
11.6.3 Domain nonlinear terms......Page 413
11.7 Numerical implementation......Page 414
11.7.2 Dual Reciprocity Method (DRM)......Page 415
11.7.3 Treatment of the integrals......Page 416
11.8.1 Linear buckling (eigenvalue)......Page 417
11.8.2 Postbuckling......Page 419
11.9 Numerical examples......Page 421
11.9.2 Linear buckling of channel sections......Page 422
11.9.3 Point load at the crown of a cylindrical shallow shell......Page 423
11.10 Conclusions......Page 425
11.11 Acknowledgments......Page 426
11.12 References......Page 431
12. Progressive Failure in Compressively Loaded Composite Laminated Panels: Analytical, Experimental and Numerical Studies S. Basu, A. M. Waas & D. R. Ambur, University of Michigan, USA......Page 435
12.1 Introduction......Page 436
12.2 Macroscopic model for kink banding instabilities in fiber composites......Page 439
12.2.1 Progressive failure analysis using schapery theory......Page 440
12.2.2 Numerical implementation via the finite element (FE) method......Page 446
12.2.3 Numerical predictions......Page 447
12.2.4 Results and discussion......Page 451
12.3.1 Experimental details of stitched double notched panels (DNPs)......Page 456
12.4 Progressive failure analysis of multidirectional composite laminated panels......Page 458
12.4.1 Numerical simulations — Modeling details......Page 459
12.4.2 Results for the stitched panels — DNPs......Page 462
12.5 Concluding remarks......Page 472
12.6 References......Page 473
13.1 Introduction......Page 475
13.2.1 Micro-structured materials — Introduction......Page 476
13.2.2 Micro-structured materials — Methods......Page 477
13.2.3 Open-cell topologies......Page 480
13.2.4 Closed-cell foams......Page 484
13.2.5 Mixed topologies......Page 491
13.2.6 Micro-structured materials — Summary......Page 495
13.3.1 Sandwiches with homogeneous or homogenised cores......Page 496
13.3.2 Sandwiches with honeycomb cores......Page 504
13.3.3 Corrugated board......Page 511
13.4 Conclusions and summary......Page 514
13.5 References......Page 515
Index......Page 519

✦ Subjects

Механика;Строительная механика;Теория пластин и оболочек;