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Buckling And Postbuckling Structures: Experimental, Analytical And Numerical Studies [Kõva köide]

(Queen's Univ Belfast, Uk), (Imperial College London, Uk)
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Buckling And Postbuckling Structures: Experimental, Analytical And Numerical StudiesSuurem pilt
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"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 enhancingour 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 microscales are also discussed. This book will be particularly relevant to professional engineers, graduate students and researchers interested in structural stability."--BOOK JACKET.

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 modeling of structural stability applied to aeronautical, civil, marine and offshore structures. The results from a number of comprehensive experimental test program 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.
Preface v
1. Experimental Studies of Stiffened Composite Panels under Axial Compression, Torsion and Combined Loading
1
H. Abramovich, Technion-Israel Institute of Technology, Israel
1.1 Introduction
1
1.2 Testing of stiffened composite panels under axial compression
4
1.3 Testing of stiffened composite panels under torsion and combined torsion and axial compression
8
1.4 Experimental results – Axial compression
15
1.5 Experimental results – Torsion and combined loading
21
1.6 Conclusions
35
1.7 Acknowledgements
36
1.8 References
37
2. Buckling and Postbuckling Tests on Stiffened Composite Panels and Shells
39
Bisagni, Politecnico di Milano, Italy
2.1 Introduction
39
2.2 Test specimens
42
2.3 Test equipment
46
2.4 Test procedures and measurements
48
2.5 Results on shells
50
2.6 Results on panels
58
2.7 Conclusions
61
2.8 Acknowledgments
63
2.9 References
63
3. Mode-Jumping in Postbuckling Stiffened Composite Panels
65
B.G. Falzon, Imperial College London, United Kingdom
3.1 Introduction
65
3.2 Experimental observations of mode jumping
68
3.2.1 Hat-stiffened panel (I)
68
3.2.2 I-stiffened panel
71
3.3 Numerical analysis
79
3.3.1 Background
79
3.3.2 The arc-length method
80
3.3.3 Dynamic methods
81
3.3.4 An automated combined quasi-static/pseudo-transient method
84
3.4 Finite element modelling
87
3.4.1 I-stiffened panel
87
3.4.2 Hat-stiffened panel (II)
90
3.5 Concluding remarks
96
3.6 Acknowledgement
97
3.7 References
97
4. The Development of Shell Buckling Design Criteria Based on Initial Imperfection Signatures
99
M.W. Hilburger, NASA Langley Research Centre, USA
4.1 Introduction
100
4.2 Test specimens, imperfection measurements, and tests
103
4.2.1 Test specimens
103
4.2.2 Imperfection measurements
105
4.2.3 Test apparatus and tests
108
4.3 Finite-element models and analyses
109
4.3.1 Finite-element models
109
4.3.2 Nonlinear analysis procedure
110
4.4 Developing experimentally validated high-fidelity models
110
4.4.1 High-fidelity analysis models
110
4.4.2 Typical high-fidelity analysis results
114
4.5 Analysis-based high-fidelity design criteria
124
4.5.1 Manufacturing imperfection signature
125
4.5.2 Response of compression-loaded shells
129
4.5.3 Response of shells subjected to combined axial compression and torsion
132
4.6 Concluding remarks
136
4.7 Acknowledgements
137
4.8 References
138
5. Stability Design of Stiffened Composite Panels – Simulation and Experimental Validation
141
A. Kling, DLR German Aerospace Centre, Germany
5.1 Introduction
141
5.2 Stability design scenario
142
5.3 Design of the test structures
144
5.4 Experiment
146
5.4.1 Test structure
149
5.4.2 Preparation of the test structure
151
5.4.3 Test
153
5.4.4 Results
154
5.5 Analysis
157
5.5.1 Numerical methods
157
5.5.2 Analysis procedure
160
5.5.3 Finite element model
162
5.5.4 Results
164
5.6 Validation
166
5.6.1 Introduction
167
5.6.2 Validation approach
168
5.6.3 Results
169
5.6.4 Transferability
173
5.7 Conclusions and outlook
174
5.8 References
175
6. Anisotropic Elastic Tailoring in Laminated Composite Plates and Shells
177
P.M. Weaver, University of Bristol, United Kingdom
6.1 Introduction
177
6.2 Mechanics of Anisotropic plates
181
6.2.1 Introduction
181
6.2.2 Initial buckling of anisotropic plates
182
6.2.3 Significance of lamination parameters
187
6.2.4 Postbuckling of anisotropic plates
188
6.2.5 Nondimensional parameters-bounds on values of parameters
190
6.3 Plate buckling
192
6.3.1 Introduction
192
6.3.2 Combined loading
193
6.3.3 Development of model
195
6.3.4 Compression loading
197
6.3.5 Biaxial loading
204
6.3.6 Uniform shear loading
210
6.3.7 Postbuckling of plates under compression loading
217
6.4 Cylindrical shells under compression loading
220
6.5 Conclusions
222
6.6 Acknowledgements
222
6.7 References
222
7. Optimisation of Stiffened Panels using Finite Strip Models
225
R. Butler & W. Liu, University of Bath, United Kingdom
7.1 Introduction
225
7.2 Buckling analysis
228
7.3 Optimum design strategy
229
7.3.1 Panel level optimisation
231
7.3.2 Laminate level optimisation
232
7.3.3 Convergence test
235
7.4 Results
236
7.4.1 Validation of strip method for local buckling of composite stiffened panels
236
7.4.2 Validation of an optimum design
242
7.4.3 Optimisation of composite wing cover panels
248
7.5 Concluding remarks
255
7.6 Acknowledgements
256
7.7 References
256
8. Stability of Tubes and Pipelines
259
H.A. Rasheed & S.A. Karamanos, Kansas State University, USA
8.1 Introduction
259
8.2 Stability of elastic isotropic cylinders
260
8.2.1 Stability of elastic cylinders under uniform external pressure
260
8.2.2 Stability of pressurized long elastic cylinders under bending
268
8.3 Stability of metal tubes and pipelines
273
8.3.1 Numerical finite element technique
274
8.3.2 Buckling of inelastic cylinders under external pressure
279
8.3.3 Stability of inelastic cylinders under bending and pressure
281
8.3.4 Propagating buckles in metal pipelines
285
8.4 Stability of composite tubes and pipelines
288
8.4.1 Stability of anisotropic laminated rings and long cylinders
288
8.4.2 Stability of delaminated long cylinders under external pressure
296
8.5 References
306
9. Imperfection-Sensitive Buckling and Postbuckling of Spherical Shell Caps
309
S. Yamada & M. Uchiyama, Toyohashi University of Technology, Japan
9.1 Introduction
309
9.2 Theoretical background: mixed finite element analytical method
311
9.3 Experimental background: initial imperfection measurement
316
9.4 Agreement on buckling loads
318
9.5 Prebuckling deflection modes near the buckling points
322
9.6 Postbuckling deflection behaviour at the static equilibrium state
323
9.7 Vibration behaviour just after buckling
329
9.8 Conclusions
333
9.9 References
333
10. Nonlinear Buckling in Sandwich Struts: Mode Interaction and Localization 335
M.A. Wadee, Imperial College London, United Kingdom
10.1 Introduction
335
10.2 Nonlinear buckling model
337
10.2.1 Overall buckling
338
10.2.2 Interactive buckling
340
10.2.3 Linear eigenvalue analysis
348
10.2.4 Perfect isotropic struts with soft cores
348
10.3 Special perfect cases
352
10.3.1 Core orthotropy
352
10.3.2 Face–core delamination
355
10.3.3 Combined loading
360
10.4 Imperfection sensitivity
361
10.4.1 Doubly-symmetric panels
361
10.4.2 Monosymmetric panels
367
10.5 Concluding remarks
371
10.6 Acknowledgements
373
10.7 References
373
11. The Boundary Element Method for Buckling and Postbuckling Analysis of Plates and Shells 375
M.H. Aliabadi & P.M. Baiz, Imperial College London, United Kingdom
11.1 Introduction
375
11.2 Basic definitions of shear deformable plates and shallow shells
378
11.2.1 Kinematic equations
378
11.2.2 Equilibrium equations
379
11.2.3 Constitutive equations
380
11.2.4 Large deflection theory
381
11.3 Boundary element method for shear deformable plates and shallow shells
382
11.3.1 Rotations and out of plane integral equations
383
11.3.2 In plane displacement integral equations
384
11.4 Governing integral equations for linear buckling
384
11.4.1 Integral equations for in plane stresses
385
11.4.2 Integral formulation for the linear buckling problem
385
11.5 Multi region formulation
387
11.6 Governing integral equations for postbuckling
389
11.6.1 Nonlinear rotations and out-of-plane integral equations
390
11.6.2 Nonlinear in-plane integral equations
390
11.6.3 Domain nonlinear terms
391
11.7 Numerical implementation
392
11.7.1 Discretization
393
11.7.2 Dual Reciprocity Method (DRM)
393
11.7.3 Treatment of the integrals
394
11.8 Numerical procedure
395
11.8.1 Linear buckling (eigenvalue)
395
11.8.2 Postbuckling
397
11.9 Numerical examples
399
11.9.1 Linear buckling of curved plates
400
11.9.2 Linear buckling of channel sections
400
11.9.3 Point load at the crown of a cylindrical shallow shell
401
11.10 Conclusions
403
11.11 Acknowledgments
404
11.12 References
409
12. Progressive Failure in Compressively Loaded Composite Laminated Panels: Analytical, Experimental and Numerical Studies 413
S. Basu, A.M. Waas & D.R. Ambur, University of Michigan, USA
12.1 Introduction
414
12.2 Macroscopic model for kink banding instabilities in fiber composites
417
12.2.1 Progressive failure analysis using schapery theory
418
12.2.2 Numerical implementation via the finite element (FE) method
424
12.2.3 Numerical predictions
425
12.2.4 Results and discussion
429
12.3 Description of experimental studies on composite laminated panels
434
12.3.1 Experimental details of stitched double notched panels (DNPs)
434
12.4 Progressive failure analysis of multidirectional composite laminated panels
436
12.4.1 Numerical simulations — Modeling details
437
12.4.2 Results for the stitched panels — DNPs
440
12.5 Concluding remarks
450
12.6 References
451
13. Micro- and Meso-Instabilities in Structured Materials and Sandwich Structures 453
T. Daxner, D.H. Pahr & F.G. Rammerstorfer, Vienna University of Technology, Austria
13.1 Introduction
453
13.2 Instabilities in micro-structured materials
454
13.2.1 Micro-structured materials — Introduction
454
13.2.2 Micro-structured materials — Methods
455
13.2.3 Open-cell topologies
458
13.2.4 Closed-cell foams
462
13.2.5 Mixed topologies
469
13.2.6 Micro-structured materials — Summary
473
13.3 Instabilities in sandwich structures
474
13.3.1 Sandwiches with homogeneous or homogenised cores
474
13.3.2 Sandwiches with honeycomb cores
482
13.3.3 Corrugated board
489
13.4 Conclusions and summary
492
13.5 References
493
Index 497