Resolution of the twentieth century conundrum In elastic stability / Isaac Elishakoff.

Format:

Book

Author/Creator:

Elishakoff, Isaac, author.

Language:

English

Subjects (All):

Elastic analysis (Engineering).

Elastic plates and shells.

Physical Description:

1 online resource (350 p.)

Place of Publication:

Singapore : World Scientific, 2014.

Language Note:

English

Summary:

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 confirm 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 differen

Contents:

Preface; Acknowledgments; 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 Foundation8 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 Imperfections4 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 Modeling5. 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

2.1. Antioptimization procedure2.2. Results of antioptimization; 2.3. Comparison with other approaches; 2.4. Sensitivity analysis; 3 Optimization of the Laminate Setup; 3.1. Naive optimization; 3.2. Derivatives of the minimum buckling load; 3.3. Results of design optimization; 4 Conclusion and Outlook; 7. Miscellaneous Topics; 1 Comments on Some Later Deterministic Works; 1.1. Deterministic resolutions of the knockdown factors; 1.2. Local buckling; 1.3. Localization; 1.4. Shell testing process; 1.5. Modal density of eigenvalues; 1.6. Imperfection-insensitive structures

2 Comments on Some Later Non-deterministic Works

Notes:

Description based upon print version of record.

Includes bibliographical references and indexes.

Description based on print version record.

ISBN:

981-4583-54-5