| Vibrating Systems | p. 1 |
| Single Mass System | p. 1 |
| Characterization of Viscosity | p. 2 |
| Free Vibrations | p. 3 |
| Small Damping | p. 4 |
| Critical Damping | p. 5 |
| Large Damping | p. 6 |
| Forced Vibrations | p. 6 |
| Dissipation of Work | p. 9 |
| Equivalent Spring and Damping | p. 10 |
| Solution by Laplace Transform Method | p. 11 |
| Hysteretic Damping | p. 13 |
| Waves in Piles | p. 17 |
| One-Dimensional Wave Equation | p. 17 |
| Solution by Laplace Transform Method | p. 18 |
| Pile of Infinite Length | p. 18 |
| Pile of Finite Length | p. 20 |
| Separation of Variables | p. 21 |
| Shock Wave in Finite Pile | p. 22 |
| Periodic Load | p. 24 |
| Solution by Characteristics | p. 26 |
| Reflection and Transmission of Waves | p. 29 |
| The Influence of Friction | p. 34 |
| Infinitely Long Pile | p. 37 |
| Numerical Solution | p. 38 |
| Example | p. 39 |
| A Simple Model for a Pile with Friction | p. 42 |
| Problems | p. 43 |
| Earthquakes in Soft Layers | p. 45 |
| Earthquake Parameters | p. 46 |
| Horizontal Vibrations | p. 47 |
| Unloaded Soil Layer | p. 48 |
| Soil Layer with Surface Load | p. 50 |
| Shear Waves in a Gibson Material | p. 52 |
| Hysteretic Damping | p. 54 |
| Basic Equations | p. 54 |
| Unloaded Soil Layer | p. 56 |
| Soil Layer with Surface Load | p. 58 |
| Numerical Solution | p. 60 |
| Basic Equations | p. 60 |
| Problems | p. 63 |
| Theory of Consolidation | p. 65 |
| Consolidation | p. 65 |
| Undrained Compression of a Porous Medium | p. 66 |
| The Principle of Effective Stress | p. 67 |
| Conservation of Mass | p. 68 |
| Darcy's Law | p. 71 |
| Equilibrium Equations | p. 72 |
| Drained Deformations | p. 75 |
| Undrained Deformations | p. 76 |
| Cryer's Problem | p. 78 |
| Basic Equations | p. 78 |
| Boundary Conditions | p. 79 |
| Initial Response | p. 80 |
| Solution of the Problem | p. 80 |
| Inverse Laplace Transformation | p. 81 |
| Results | p. 81 |
| Uncoupled Consolidation | p. 82 |
| Constant Isotropic Total Stress | p. 83 |
| Horizontally Confined Deformations | p. 84 |
| Terzaghi's Problem | p. 85 |
| Solution | p. 86 |
| Settlement | p. 87 |
| Problems | p. 90 |
| Dynamics of Porous Media | p. 91 |
| Basic Differential Equations | p. 91 |
| Conservation of Mass | p. 91 |
| Conservation of Momentum | p. 93 |
| Constitutive Equations | p. 94 |
| Propagation of Plane Waves | p. 95 |
| Special Cases | p. 96 |
| Undrained Waves | p. 96 |
| Rigid Solid Matrix | p. 97 |
| Analytical Solution | p. 99 |
| Periodic Solution | p. 99 |
| Response to a Sinusoidal Load | p. 103 |
| Approximation of the Solution | p. 104 |
| Numerical Verification | p. 107 |
| Response to a Block Wave | p. 108 |
| Numerical Solution | p. 109 |
| Conclusion | p. 111 |
| Cylindrical Waves | p. 113 |
| Static Problems | p. 113 |
| Basic Equations | p. 113 |
| General Solution | p. 115 |
| Examples | p. 115 |
| Dynamic Problems | p. 120 |
| Sinusoidal Vibrations at the Cavity Boundary | p. 120 |
| Equivalent Spring and Damping | p. 125 |
| Propagation of a Shock Wave | p. 127 |
| Solution by Laplace Transform | p. 127 |
| Solution by Fourier Series | p. 129 |
| Radial Propagation of Shear Waves | p. 131 |
| Sinusoidal Vibrations at the Cavity Boundary | p. 132 |
| Problems | p. 134 |
| Spherical Waves | p. 137 |
| Static Problems | p. 137 |
| Basic Equations | p. 137 |
| General Solution | p. 139 |
| Examples | p. 139 |
| Dynamic Problems | p. 143 |
| Propagation of Waves | p. 144 |
| Sinusoidal Vibrations at the Cavity Boundary | p. 145 |
| Propagation of a Shock Wave | p. 149 |
| Problems | p. 154 |
| Elastostatics of a Half Space | p. 157 |
| Basic Equations of Elastostatics | p. 158 |
| Boussinesq Problems | p. 160 |
| Concentrated Force | p. 162 |
| Uniform Load on a Circular Area | p. 163 |
| Fourier Transforms | p. 164 |
| Line Load | p. 165 |
| Strip Load | p. 168 |
| Axially Symmetric Problems | p. 169 |
| Uniform Load on a Circular Area | p. 170 |
| Mixed Boundary Value Problems | p. 172 |
| Rigid Circular Plate | p. 173 |
| Penny Shaped Crack | p. 177 |
| Confined Elastostatics | p. 180 |
| An Axially Symmetric Problem | p. 181 |
| A Plane Strain Problem | p. 184 |
| Elastodynamics of a Half Space | p. 187 |
| Basic Equations of Elastodynamics | p. 188 |
| Compression Waves | p. 189 |
| Shear Waves | p. 189 |
| Rayleigh Waves | p. 190 |
| Love Waves | p. 194 |
| A Practical Implication | p. 198 |
| Confined Elastodynamics | p. 201 |
| Line Load on Half Space | p. 202 |
| Line Pulse on Half Space | p. 206 |
| Strip Load on Half Space | p. 207 |
| Strip Pulse | p. 207 |
| Inversion by De Hoop's Method | p. 208 |
| Constant Strip Load | p. 212 |
| Point Load on Half Space | p. 217 |
| Periodic Load on a Half Space | p. 219 |
| Displacement of the Origin | p. 222 |
| Vibrating Point Load | p. 224 |
| Problems | p. 224 |
| Line Load on Elastic Half Space | p. 225 |
| Line Pulse | p. 225 |
| Description of the Problem | p. 225 |
| Solution by Integral Transform Method | p. 227 |
| The Vertical Displacement | p. 230 |
| The Vertical Displacement of the Surface | p. 244 |
| The Horizontal Displacement | p. 249 |
| The Horizontal Displacement of the Surface | p. 255 |
| Constant Line Load | p. 260 |
| Isotropic Stress | p. 262 |
| The Vertical Normal Stress | p. 271 |
| The Horizontal Normal Stress | p. 278 |
| The Shear Stress | p. 284 |
| Conclusion | p. 289 |
| Problems | p. 290 |
| Strip Load on Elastic Half Space | p. 291 |
| Strip Pulse | p. 292 |
| The Isotropic Stress | p. 293 |
| The Vertical Normal Stress | p. 299 |
| The Horizontal Normal Stress | p. 305 |
| The Shear Stress | p. 308 |
| Strip Load | p. 312 |
| The Isotropic Stress | p. 313 |
| The Vertical Normal Stress | p. 320 |
| The Horizontal Normal Stress | p. 326 |
| The Shear Stress | p. 335 |
| Conclusion | p. 342 |
| Problems | p. 342 |
| Point Load on an Elastic Half Space | p. 345 |
| Problem | p. 345 |
| Basic Equations | p. 345 |
| Solution | p. 347 |
| Vertical Displacement of the Surface | p. 349 |
| The Pekeris Procedure | p. 350 |
| Numerical Evaluation of the Integrals | p. 355 |
| Computer Program POINTLOAD | p. 358 |
| Results | p. 359 |
| Moving Loads on an Elastic Half Plane | p. 361 |
| Moving Wave | p. 361 |
| Basic Equations | p. 361 |
| Solutions | p. 363 |
| Solution 1 | p. 365 |
| Solution 2 | p. 367 |
| Completion of the Solution | p. 369 |
| First Boundary Condition | p. 370 |
| Second Boundary Condition | p. 370 |
| The Two Constants | p. 372 |
| Final Solution | p. 372 |
| The Displacement of the Origin | p. 373 |
| Moving Strip Load | p. 374 |
| Vertical Displacement of the Surface | p. 375 |
| Vertical Normal Stress | p. 376 |
| Isotropic Stress | p. 380 |
| Horizontal Normal Stress | p. 381 |
| Shear Stress | p. 382 |
| Foundation Vibrations | p. 385 |
| Foundation Response | p. 385 |
| Circular Footing | p. 386 |
| Equivalent Spring and Damping | p. 389 |
| Soil Properties | p. 391 |
| Propagation of Vibrations | p. 392 |
| Design Criteria | p. 392 |
| Integral Transforms | p. 395 |
| Laplace Transforms | p. 395 |
| Definitions | p. 395 |
| Example | p. 396 |
| Heaviside's Expansion Theorem | p. 397 |
| Fourier Transforms | p. 398 |
| Fourier Series | p. 398 |
| From Fourier Series to Fourier Integral | p. 400 |
| Application | p. 401 |
| List of Fourier Transforms | p. 403 |
| Hankel Transforms | p. 406 |
| Definitions | p. 406 |
| List of Hankel Transforms | p. 407 |
| De Hoop's Inversion Method | p. 409 |
| Introduction | p. 409 |
| Example | p. 410 |
| Dual Integral Equations | p. 417 |
| Bateman-Pekeris Theorem | p. 419 |
| References | p. 423 |
| Author Index | p. 427 |
| Index | p. 431 |
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