Читать книгу Modern Trends in Structural and Solid Mechanics 3 - Группа авторов - Страница 3

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 of the deflection function (in m) for a finit...Figure 8.10. (a) Sensitivity functions and (b) lower and upper bounds of the def...

10 Chapter 9Figure 9.1. Classic bit and qubit represented by two electronic levels in a sphe...Figure 9.2. A typical checkerboard pattern of a continuum structureFigure 9.3. Polar plot of the quantum gate for a qubitFigure 9.4. Finite element encoding scheme and topological formFigure 9.5. Flowchart for the presented quantum-inspired methodologyFigure 9.6. Schematic indication of the advantage of quantum annealing over clas...Figure 9.7. The diagram of element density updatingFigure 9.8. Design domain of a short cantileverFigure 9.9. Result of different initial distribution of material schemesFigure 9.10. Result of different methodsFigure 9.11. A wing rib structure under multiple loadsFigure 9.12. Topological configuration of wing rib under different methods

11 Chapter 10Figure 10.1. Quarter-car model rolling at constant speed on an uneven road with ...Figure 10.2. Amplitude ratio (red) and rms ratio (blue) for two damping values a...Figure 10.3. Half-car model rolling on a random road profile with two degrees of...Figure 10.4. Root mean square ratios of the response and excitation of the half-...Figure 10.5. Resonance and absorption speeds for k=1,2,3,… calculated from equat...Figure 10.6. Extended half-car model with four degrees of freedom and two viscoe...Figure 10.7. Related rms ratios of all displacements versus the speed frequency ...Figure 10.8. Mean amplitudes and densities of the displacements At and Bt versus...Figure 10.9. Resonance of the resultant mean amplitude for growing noise that in...Figure 10.10. Resonance reduction of the mean amplitude Vm for growing noise int...Figure 10.11. Resonance induction from blue to red resonance peaks for growing n...Figure 10.12. Limit cycles and transient projections of angles Δτ, Ψt and their ...Figure 10.13. Boundaries for almost sure stability and stability in mean. Critic...

12 Chapter 11Figure 11.1. Cumulative distribution function and robustness level. For a color ...Figure 11.2. Deign acceleration response spectra for damping factors 0.02, 0.05 ...Figure 11.3. Building modelFigure 11.4. Acceleration response spectra of seismic motions at bedrock and sur...Figure 11.5. Histogram of observed maximum inter-story drift anglesFigure 11.6. Observed maximum inter-story drift angles of each storyFigure 11.7. A 20-story shear frame model (Ohsaki et al. 2019)Figure 11.8. Relation between the maximum inter-story drift and order k for the ...Figure 11.9. Distributions of additional damping coefficients: (a) Pareto optima...