Preface |
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vii | |
Acknowledgments |
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xi | |
Pt 1 Introduction |
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1 | (18) |
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1 How I Got Involved with the Imperfect World of Imperfection Sensitivity |
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1 | (2) |
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2 Digest of History of Elastic Stability from Musschenbroek and Euler to Koiter |
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3 | (5) |
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8 | (3) |
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4 Studies by the Caltech Group |
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11 | (8) |
Pt 2. Probabilistic Resolution |
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19 | (76) |
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1 Bolotin's Pioneering Work |
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19 | (3) |
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2 Studies by the University of Waterloo Group |
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22 | (3) |
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3 Studies by the Harvard Group (Stochastic Subgroup) |
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25 | (7) |
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4 Ergodicity May Induce Large Errors |
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32 | (4) |
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5 Bolotin's Problem and Ergodicity Assumption |
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36 | (3) |
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6 Simulation of Initial Imperfections |
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39 | (3) |
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7 Resolution of Fraser-Budiansky-Amazigo Paradox for Stochastically Imperfect Columns on Nonlinear Foundation |
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42 | (20) |
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8 Studies by the Group of the University of Toronto |
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62 | (7) |
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9 Studies by the Group of Moscow Power Engineering Institute and State University |
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69 | (2) |
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10 Resolution of Amazigo-Budiansky Paradox for Stochastically Imperfect Cylindrical Shells |
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71 | (8) |
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11 Alternative Resolution of the Conundrum by the First-Order Second-Moment Method |
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79 | (4) |
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12 Corroboration Project STONIVOKS |
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83 | (6) |
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13 Delft's Other Challenge |
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89 | (6) |
Pt 3 Hybrid Uncertainty in Imperfections and Axial Loading |
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95 | (20) |
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95 | (1) |
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95 | (2) |
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3 Positive-Valued Uniformly Distributed Imperfections |
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97 | (2) |
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4 Combined Randomness in Imperfection and Load for Positive Imperfection Values |
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99 | (3) |
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5 Negative-Valued Uniformly Distributed Imperfections |
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102 | (2) |
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6 Uniformly Distributed Imperfections Taking on Either Positive or Negative Values |
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104 | (4) |
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7 Combined Randomness in Imperfection and Load for Either Positive or Negative Imperfection Values |
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108 | (4) |
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8 Numerical Examples and Discussion |
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112 | (3) |
Pt 4 Non-probabilistic Resolution |
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115 | (20) |
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1 Resolution of Conundrum via Nonprobabilistic Convex Modeling |
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115 | (6) |
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2 Competition between Probabilistic and Convex Analyses: Which One Wins? |
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121 | (3) |
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3 Brief History of Nonprobabilistic Uncertainty Modeling |
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124 | (11) |
Pt 5 Nontraditional Imperfections in Shells |
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135 | (32) |
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1 Spatial Parametric Resonance and Other Novel Buckling Problems Inspired by James H. Starnes, Jr. |
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135 | (7) |
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2 Scatter in Load: Problem Description |
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142 | (1) |
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3 Combined Randomness in Imperfection and Thickness Variation for Deterministic Load |
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143 | (5) |
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148 | (3) |
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5 Combined Randomness in Imperfection, Thickness Variation and Load |
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151 | (10) |
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161 | (2) |
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7 Implications on Design Criteria |
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163 | (2) |
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165 | (2) |
Pt 6 Lower Bound for Buckling Load in Presence of Uncertainty |
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167 | (18) |
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168 | (3) |
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2 Convex Antioptimization |
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171 | (8) |
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3 Optimization of the Laminate Setup |
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179 | (3) |
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182 | (3) |
Pt 7 Miscellaneous Topics |
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185 | (46) |
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1 Comments on Some Later Deterministic Works |
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185 | (17) |
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2 Comments on Some Later Non-deterministic Works |
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202 | (6) |
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3 Topical Personal Reminiscences |
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208 | (7) |
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4 Establishment of the ASME Warner T. Koiter Medal |
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215 | (4) |
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5 Some Remarks about Priority |
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219 | (7) |
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226 | (5) |
Appendix A. Analytical Analysis of the Nonsymmetric Version of the Budiansky-Hutchinson Model |
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231 | (10) |
Appendix B. Elastic Stability: From Musschenbroek & Euler to Koiter - There Was None Like Koiter |
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241 | (6) |
Appendix C |
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247 | (12) |
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247 | (3) |
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2 Minimum Volume Enclosing Hyper-Rectangle |
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250 | (2) |
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3 Minimum Volume Enclosing Hyper-Ellipsoid |
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252 | (1) |
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4 Numerical Determination of Buckling Load |
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253 | (1) |
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5 Numerical Derivatives of Buckling Load |
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254 | (3) |
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6 Experimentally Determined Buckling Loads |
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257 | (2) |
References |
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259 | (62) |
Author Index |
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321 | (6) |
Subject Index |
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327 | |