Читать книгу Modern Trends in Structural and Solid Mechanics 1 - 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. Geometry and coordinate-axes of a laminated plate

3 Chapter 2Figure 2.1. A schematic diagram of a structure consisting of identical layers st...Figure 2.2. The schematic view of the sample showing gripping area (purple), glu...Figure 2.3. Photographs of the experimentally observed modes. (a) The top and th...Figure 2.4. A chain of N identical rigid rods. Each rod has length L and is atta...Figure 2.5. The plot of versus general mode number (n − 1)/N (blue line) for a...Figure 2.6. The angular displacement θm of the m-th rod plotted versus its numbe...Figure 2.7. A model of two rigid rods on hinge supports with torsional springs k...Figure 2.8. Plots of the first and the second critical buckling loads of two cou...Figure 2.9. Plots of λ₁ factors as functions of loading parameter | for various ...Figure 2.10. The localization factor λ plotted as a function of | for disorder m...Figure 2.11. Four lowest extended buckling modes of a chain with N = 100 rigid r...Figure 2.12. Plots of the selected buckling modes of the disordered chain in a n...

4 Chapter 3Figure 3.1. Creep testFigure 3.2. Relaxation testFigure 3.3. Classic viscoelastic modelFigure 3.4. a) Zener model: a spring in series to a Voigt model and b) Zener mod...Figure 3.5. Springpot elementFigure 3.6. Fractional modelsFigure 3.7. Onset of the column bifurcations and its generic sectionFigure 3.8. Onset of the column bifurcationFigure 3.9. Stability region on the complex planeFigure 3.10. Stability region and complex mapFigure 3.11. Plot of the critical load for β = 0.0001Figure 3.12. Plot of the critical load for β = 0.14Figure 3.13. Plot of the critical load for β = 1

5 Chapter 4Figure 4.1. Extension of a generalized lattice with direct and indirect interact...Figure 4.2. Extension of a generalized lattice with direct and indirect interact...Figure 4.3. Displacement field in the generalized lattice under uniform loading ...Figure 4.4. Displacement field in the generalized lattice under uniform loading ...Figure 4.5. Displacement field in the generalized lattice under uniform loading ...Figure 4.6. Equivalent stiffness versus n; uniform loading – truncated higher-or...Figure 4.7. Displacement field in the generalized lattice under uniform loading ...

6 Chapter 5Figure 5.1. Buckling modes for plates with different aspect ratios a/b under uni...Figure 5.2. Buckling modes for plates with different aspect ratios a/b under bia...

7 Chapter 6Figure 6.1. Reference shape of a parabolic arch with cross-sections orthogonal t...Figure 6.2. Critical load ratio for a fixed arch with a crack characterized by a...Figure 6.3. Buckling modes about the deformed shape for a = 0.6

8 Chapter 7Figure 7.1. (a) The repeating unit cell and (b) shear mode microbuckling of a pe...Figure 7.2. Effect of layer stiffness ratio on the elastic critical bifurcation ...Figure 7.3. Buckling curves exhibiting the volume fraction-dependent variation o...Figure 7.4. Effect of the volume fraction on (a) the critical microbuckling stre...Figure 7.5. (a) Effect of the volume fraction on the critical microbuckling stra...Figure 7.6. Effect of the volume fraction on (a) the critical microbuckling stre...

9 Chapter 8Figure 8.1. Two DOF model investigated in this workFigure 8.2. Geometrically nonlinear static response of the two DOF system shown ...Figure 8.3. Potential energy under P=0. (a) 3D view. (b) Iso lines. For a color ...Figure 8.4. Dynamic analysis of the two DOF system under P₀=128 MN>PMPCL assumin...Figure 8.5. Dynamic stability criterion due to Lee for P₀=110 MN≈PD. Initial per...Figure 8.6. Dynamic stability criterion due to Lee for P₀ =70 MN<PMPCL. Initial ...Figure 8.7. Dynamic response for various load levels. Data: ξ=0, Δα=0.001, Δβ=0....Figure 8.8. Positive projection of Lee’s coefficient CL for several values of P₀...Figure 8.9. Dynamic response in terms CS/Cref. Data: ξ=0, tf=4 s, Δα=0.001, Δβ=0...Figure 8.10. Variation of CS with the impulsive load P₀ in the range 10 MN<P₀<13...

10 Chapter 9Figure 9.1. Schematics of the drill string descending in a curvilinear boreholeFigure 9.2. System of forces acting on the drill stringFigure 9.3. Parameterization of curve S and surface ΣFigure 9.4. Geometric schematic of an inclined boreholeFigure 9.5. Buckling modes of the DS at different stages of its lowering (H = 2 ...Figure 9.6. Buckling modes of the DS at different stages of its lowering (h = 2....Figure 9.7. Modes of buckling in the shapes of boundary effect (a) and internal ...Figure 9.8. Typical 3D schematic fragment of the drill string buckling wavelet i...Figure 9.9. Typical 3D schematic fragment of the drill string buckling wavelet i...

11 Chapter 10Figure 10.1. Image of the optimally shaped Beck’s columnFigure 10.2. Column subjected to a rocket-based follower force and having a rigi...Figure 10.3. Photographs of the experimental setups for the present experiment: ...Figure 10.4. Mathematical modelFigure 10.5. Typical load–frequency curves (ω values are plotted on a logarithmi...Figure 10.6. Schematic of the experimental setup (side view)Figure 10.7. Sketch of the cross-section of the rocket motor: ① forward cap, ② c...Figure 10.8. Thrust curveFigure 10.9. Test beams. For a color version of this figure, see www.iste.co.uk/...Figure 10.10. Load–frequency curves: (a) for the initial column no. 1 and (b) fo...Figure 10.11. Damaged test columns: (a) damaged column no. 1 and (b) damaged col...Figure 10.12. Dynamic responses in test runs nos. 1 and 2: (a) response in run n...Figure 10.13. Dynamic responses in the extra test runs with uniform columns: (a)...Figure 10.14. Stability chart for the extra runs

12 Chapter 11Figure 11.1. Trapezoidal arch under two vertical concentrated loads. For a color...Figure 11.2. HBM for the trapezoidal arch. For a color version of this figure, s...Figure 11.3. Buckling mode of trapezoidal arch 1 modeled by the HBMFigure 11.4. Buckling mode of trapezoidal arch 2 modeled by the HBMFigure 11.5. Trapezoidal archFigure 11.6. Variations of optimal height of trapezoidal arches for different su...Figure 11.7. Variations of optimal cross-sectional area ratio of trapezoidal arc...Figure 11.8. Variations of the maximum buckling load of trapezoidal arches for d...Figure 11.9. Sensitivity of the maximum buckling load of trapezoidal arches with...