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Table of Contents

Оглавление

Cover

Title Page

Copyright

Preface: Short Bibliographical Presentation of Prof. Isaac Elishakoff

1 Optimization in Mitochondrial Energetic Pathways 1.1. Optimization in neural and cell biology 1.2. Mitochondria 1.3. General morphology; fission and fusion 1.4. Mechanical aspects 1.5. Mitochondrial motility 1.6. Cristae, ultrastructure and supercomplexes 1.7. Mitochondrial diseases and neurodegenerative disorders 1.8. Modeling 1.9. Concluding summary 1.10. Acknowledgments 1.11. Appendix 1.12. References

2 The Concept of Local and Non-Local Randomness for Some Mechanical Problems 2.1. Introduction 2.2. Preliminary concepts 2.3. Local and non-local randomness 2.4. Conclusion 2.5. References

3 On the Applicability of First-Order Approximations for Design Optimization under Uncertainty 3.1. Introduction 3.2. Summary of first- and second-order Taylor series approximations for uncertainty quantification 3.3. Design optimization under uncertainty 3.4. Numerical examples 3.5. Conclusion and outlook 3.6. References

4 Understanding Uncertainty 4.1. Introduction 4.2. Uncertainty and uncertainties 4.3. Design and uncertainty 4.4. Knowledge entity 4.5. Robust and reliable engineering 4.6. Conclusion 4.7. References

5 New Approach to the Reliability Verification of Aerospace Structures 5.1. Introduction 5.2. Factor of safety and probability of failure 5.3. Reliability verification of aerospace structural systems 5.4. Summary 5.5. References

10  6 A Review of Interval Field Approaches for Uncertainty Quantification in Numerical Models 6.1. Introduction 6.2. Interval finite element analysis 6.3. Convex-set analysis 6.4. Interval field analysis 6.5. Conclusion 6.6. Acknowledgments 6.7. References

11  7 Convex Polytopic Models for the Static Response of Structures with Uncertain-but-bounded Parameters 7.1. Introduction 7.2. Problem statements 7.3. Analysis and solution of the convex polytopic model for the static response of structures 7.4. Vertex solution theorem of the convex polytopic model for the static response of structures 7.5. Review of the vertex solution theorem of the interval model for the static response of structures 7.6. Numerical examples 7.7. Conclusion 7.8. Acknowledgments 7.9. References

12  8 On the Interval Frequency Response of Cracked Beams with Uncertain Damage 8.1. Introduction 8.2. Crack modeling for damaged beams 8.3. Statement of the problem 8.4. Interval frequency response of multi-cracked beams 8.5. Numerical applications 8.6. Concluding remarks 8.7. Acknowledgments 8.8. References

13  9 Quantum-Inspired Topology Optimization 9.1. Introduction 9.2. General statements 9.3. Topology optimization design model based on quantum-inspired evolutionary algorithms 9.4. A quantum annealing operator to accelerate the calculation and jump out of local extremum 9.5. Numerical examples 9.6. Conclusion 9.7. Acknowledgments 9.8. References

14  10 Time Delay Vibrations and Almost Sure Stability in Vehicle Dynamics 10.1. Introduction to road vehicle dynamics 10.2. Delay resonances of half-car models on road 10.3. Extensions to multi-body vehicles on a random road 10.4. Non-stationary road excitations applying sinusoidal models 10.5. Resonance reduction or induction by means of colored noise 10.6. Lyapunov exponents and rotation numbers in vehicle dynamics 10.7. Concluding remarks and main new results 10.8. References

15  11 Order Statistics Approach to Structural Optimization Considering Robustness and Confidence of Responses 11.1. Introduction 11.2. Overview of order statistics 11.3. Robust design 11.4. Numerical examples 11.5. Conclusion 11.6. References

16  List of Authors

17  Index

18  Summary of Volume 1

19  Summary of Volume 2

20  End User License Agreement

Modern Trends in Structural and Solid Mechanics 3

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