rel="nofollow" href="#ulink_f2d9202e-9877-5472-a088-b9b108c05ada">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
17 Index
List of Illustrations
1 Preface: Short Bibliographical Presentation of Prof. Isaac ElishakoffFigure P.1. Prof. Isaac ElishakoffFigure P.2. Elishakoff in middle school in the city of Sukhumi, GeorgiaFigure P.3. Elishakoff just before acceptance to university. Photo taken in Sukh...Figure P.4. Public PhD defense, Moscow Power Engineering Institute and State Uni...Figure P.5. Elishakoff with Bolotin (middle), member of the Russian Academy of S...Figure P.6. Prof. Elishakoff presenting a book to Prof. J. Singer, Technion’s Pr...Figure P.7. Elishakoff having received the William B. Johnson Inter- Professiona...Figure P.8. Inauguration as the Frank Freimann Visiting Professor of Aerospace a...Figure P.9. Prof. Elishakoff with Prof. Warner Tjardus Koiter, Delft University ...Figure P.10. Elishakoff and his colleagues during the AIAA SDM Conference at Pal...Figure P.11. Elishakoff with his wife, Esther Elisha, M.D., during an ASME award...
2 Chapter 1Figure 1.1. Mitochondria shown undergoing fission/fusion. The respiratory comple...Figure 1.2. Derivation of mitochondrial performance phenomenologically (Chauhan ...Figure 1.3. The schematic diagram of the components and fluxes included in the c...Figure 1.4. Schematic representation of how mitochondria modulate [Ca2+]Cyt. Ide...Figure 1.5. Mitochondria serve as Ca2+ reservoirs. The minimal values of [Ca2+]E...
3 Chapter 2Figure 2.1. Example 1: statically indeterminate stochastic beamFigure 2.2. Some parametric classes of correlation functions for a Gaussian proc...Figure 2.3. Statically determinate stochastic beamsFigure 2.4. Example 1: PDF of the redundant force X: (a) L = 10; (b) L = 20. For...Figure 2.5. Example 1: PDF of the transversal displacement u(|) = L/2: (a) L = 1...Figure 2.6. Example 1: PDF of the transversal displacement for L = 10: (a) | = 0...Figure 2.7. Example 1: PDF of the transversal displacement for L = 20: (a) | = 0...
4 Chapter 3Figure 3.1. Principle of first-order reliability method, original space (left) a...Figure 3.2. Two-dimensional example of a set of data points, their mean vector µ...Figure 3.3. von Mises truss (left) and associated load–displacement curve (right...Figure 3.4. Three-bar truss exampleFigure 3.5. Compliance over horizontal load Ph for the optimized design using th...Figure 3.6. Design space and load of the tension bar exampleFigure 3.7. Result of deterministic (left) and robust (right) topology optimizat...Figure 3.8. Design space and load of the cantilever beam exampleFigure 3.9. Result of deterministic (left) and robust (right) topology optimizat...
5 Chapter 4Figure 4.1. Exploration of the uncertain domain at a place and time. For a color...Figure 4.2. Decision-making modules for creating an object and its life. For a c...Figure 4.3. Designing with uncertainty: using all resources to make the decision...Figure 4.4. An illustration of the concepts – robustness and reliability. For a ...Figure 4.5. Illustration of data robustness (left) and model robustness (right) ...Figure 4.6. Illustration of data reliability (left) and model reliability (right...Figure 4.7. Robust and reliable optimization
6 Chapter 5Figure 5.1. CDF of the stochastic safety factorFigure 5.2. Effect of COV on the probability of failureFigure 5.3. Flowchart of structural design to reliability process
7 Chapter 6Figure 6.1. Upper and lower bounds of spatial uncertainty on the thickness t of ...
8 Chapter 7Figure 7.1. Three typical two-dimensional convex models. For a color version of ...Figure 7.2. Two-step barFigure 7.3. Convex polytopic models of the stiffness terms and the external load...Figure 7.4. Static displacements u1 and u2 of the vertex solution theorem, based...Figure 7.5. Ten-bar trussFigure 7.6. Convex polytopic models of the external loads and the cross-sectiona...Figure 7.7. Bounds of the vertical displacements at nodes 3, 4, 5 and 6 of the t...Figure 7.8. Comparison of the upper and lower bounds on the vertical displacemen...Figure 7.9. Plane frameFigure 7.10. Convex polytopic models of Young’s moduli and the external loads of...Figure 7.11. Bounds of the horizontal displacements at nodes 188, 192, 198 and 2...Figure 7.12. Comparison of the upper and lower bounds on the horizontal displace...
9 Chapter 8Figure 8.1. Damaged beam: finite element model and continuous model. For a color...Figure 8.2. Function | versus the dimensionless crack depth |. For a color versi...Figure 8.3. Compliance function | versus the dimensionless crack depth |. For a ...Figure 8.4. (a) Lower and (b) upper bounds of the function | for different level...Figure 8.5. (a) Lower and (b) upper bounds of the function | for different level...Figure 8.6. (a) Central value | and (b) deviation amplitude | for different leve...Figure 8.7. Lower and upper bounds of the deflection function (in m) for a finit...Figure 8.8. (a) Sensitivity functions and (b) lower and upper bounds of the defl...Figure 8.9. Lower and upper bounds