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Resolution of the Twentieth Century Conundrum in Elastic Stability 1st Edition by Isaac Elishakoff ISBN 9814583537 9789814583534

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Resolution of the Twentieth Century Conundrum in Elastic Stability 1st Edition Isaac Elishakoff Digital Instant Download

Author(s): Isaac Elishakoff
ISBN(s): 9789814583534, 9814583537
Edition: 1
File Details: PDF, 8.98 MB
Year: 2014
Language: english
SKU: EB-4739288 Category: Tag:

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ISBN 10: 9814583537 
ISBN 13: 9789814583534
Author: Isaac Elishakoff

There have been stability theories developed for beams, plates and shells — the most significant elements in mechanical, aerospace, ocean and marine engineering. For beams and plates, the theoretical and experimental values of buckling loads are in close vicinity. However for thin shells, the experimental predictions do not conform with the theory, due to presence of small geometric imperfections that are deviations from the ideal shape.This fact has been referred to in the literature as ‘embarrassing’, ‘paradoxical’ and ‘perplexing’. Indeed, the popular adage, “In theory there is no difference between theory and practice. In practice there is”, very much applies to thin shells whose experimental buckling loads may constitute a small fraction of the theoretical prediction based on classical linear theory; because in practice, engineers use knockdown factors that are not theoretically substantiated.This book presents a uniform approach that tames this prima-donna-like and capricious behavior of structures that has been dubbed the ‘imperfection sensitivity’ — thus resolving the conundrum that has occupied the best minds of elastic stability throughout the twentieth century.

Resolution of the Twentieth Century Conundrum in Elastic Stability 1st Table of contents:

1. Introduction
1 How I Got Involved with the Imperfect World of Imperfection Sensitivity
2 Digest of History of Elastic Stability from Musschenbroek and Euler to Koiter
3 Knockdown Factors
4 Studies by the Caltech Group
2. Probabilistic Resolution
1 Bolotin’s Pioneering Work
2 Studies by the University of Waterloo Group
3 Studies by the Harvard Group (Stochastic Subgroup)
4 Ergodicity May Induce Large Errors
5 Bolotin’s Problem and Ergodicity Assumption
6 Simulation of Initial Imperfections
7 Resolution of Fraser–Budiansky–Amazigo Paradox for Stochastically Imperfect Columns on Nonlinear Foundation
8 Studies by the Group of the University of Toronto
9 Studies by the Group of Moscow Power Engineering Institute and State University
10 Resolution of Amazigo–Budiansky Paradox for Stochastically Imperfect Cylindrical Shells
11 Alternative Resolution of the Conundrum by the First-Order Second-Moment Method
12 Corroboration Project STONIVOKS
13 Delft’s Other Challenge
3. Hybrid Uncertainty in Imperfections and Axial Loading
1 Introduction
2 Basic Equations
3 Positive-Valued Uniformly Distributed Imperfections
4 Combined Randomness in Imperfection and Load for Positive Imperfection Values
5 Negative-Valued Uniformly Distributed Imperfections
6 Uniformly Distributed Imperfections Taking on Either Positive or Negative Values
7 Combined Randomness in Imperfection and Load for Either Positive or Negative Imperfection Values
8 Numerical Examples and Discussion
4. Non-probabilistic Resolution
1 Resolution of Conundrum via Nonprobabilistic Convex Modeling
2 Competition between Probabilistic and Convex Analyses: Which One Wins?
3 Brief History of Nonprobabilistic Uncertainty Modeling
5. Nontraditional Imperfections in Shells
1 Spatial Parametric Resonance and Other Novel Buckling Problems Inspired by James H. Starnes, Jr.
2 Scatter in Load: Problem Description
3 Combined Randomness in Imperfection and Thickness Variation for Deterministic Load
4 Numerical Examples
5 Combined Randomness in Imperfection, Thickness Variation and Load
6 Numerical Examples
7 Implications on Design Criteria
8 Conclusion
6. Lower Bound for Buckling Load in Presence of Uncertainty
1 Introduction
2 Convex Antioptimization
3 Optimization of the Laminate Setup
4 Conclusion and Outlook
7. Miscellaneous Topics
1 Comments on Some Later Deterministic Works
2 Comments on Some Later Non-deterministic Works
3 Topical Personal Reminiscences
4 Establishment of the ASME Warner T. Koiter Medal
5 Some Remarks about Priority
6 Conclusion
Appendix A. Analytical Analysis of the Nonsymmetric Version of the Budiansky–Hutchinson Model
Appendix B. Elastic Stability: From Musschenbroek & Euler to Koiter—There Was None Like Koiter
Appendix C
1 Data Basis
2 Minimum Volume Enclosing Hyper-Rectangle
3 Minimum Volume Enclosing Hyper-Ellipsoid
4 Numerical Determination of Buckling Load
5 Numerical Derivatives of Buckling Load
6 Experimentally Determined Buckling Loads

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Tags: Isaac Elishakoff, Resolution, Conundrum, Elastic Stability