Problems of Drill String Buckling in Deep Curvilinear Borehole Channels 9.1. Introduction 9.2. Singular perturbation theory: elements and history 9.3. Posing the problem of a drill string buckling in the curvilinear borehole 9.4. Modeling the drill string buckling in lowering operation 9.5. References
14 10 Shape-optimized Cantilevered Columns under a Rocket-based Follower Force 10.1. Background 10.2. Aims 10.3. Numerical analysis 10.4. Experiment 10.5. Flutter test 10.6. Concluding remarks 10.7. Acknowledgments 10.8. Appendix 10.9. References
15 11 Hencky Bar-Chain Model for Buckling Analysis and Optimal Design of Trapezoidal Arches 11.1. Introduction 11.2. Buckling analysis of trapezoidal arches based on the HBM 11.3. Optimal design of symmetric trapezoidal arches 11.4. Concluding remarks 11.5. 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. 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