Preface |
|
xi | |
Introduction |
|
xiii | |
Author |
|
xv | |
Symbols and Abbreviations (General) |
|
xvii | |
Chapter 1 Concepts and Definitions |
|
1 | (6) |
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1 | (6) |
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Stiffness and Natural Frequency |
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1 | (2) |
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The Analogy between Translational and Rotational Motion |
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|
3 | (1) |
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|
3 | (2) |
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Inertia Force and Dynamic Equilibrium |
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5 | (1) |
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Equivalent Stress and a Safety Factor |
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|
5 | (2) |
Chapter 2 Natural Frequency |
|
7 | (42) |
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7 | (17) |
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Determination of Natural Frequency by the Direct Method and by the Energy Method |
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7 | (1) |
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Bodies with Continuous Mass Distribution |
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8 | (6) |
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Equations of Motion: Bar and Shaft |
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8 | (3) |
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Equations of Motion: Cable and Shear Beam |
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11 | (2) |
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Equations of Motion: Flexural Beam |
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13 | (1) |
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Beams on Elastic Foundation |
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|
14 | (1) |
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Continuous Elastic Medium |
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14 | (1) |
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Types of Structural Arrangements |
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14 | (1) |
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15 | (1) |
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16 | (2) |
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Buckling Force, Critical Force, Stiffness, and Frequency |
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18 | (1) |
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Static Deflection Method, Dunkerley's Method, and Addition of Flexiblilities |
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|
19 | (1) |
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Distributed Mass System with a Single Lumped Mass |
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20 | (1) |
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21 | (2) |
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23 | (1) |
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24 | (18) |
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24 | (1) |
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24 | (18) |
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42 | (7) |
Chapter 3 Simple Linear Systems |
|
49 | (46) |
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49 | (18) |
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49 | (1) |
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50 | (1) |
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51 | (1) |
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52 | (2) |
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54 | (1) |
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Response of Oscillator to Step Loading |
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55 | (2) |
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Response of Oscillator to Impulsive Load |
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57 | (1) |
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Oscillator Response to Triangular Pulses |
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58 | (2) |
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Summary of Response to Single Pulses |
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60 | (1) |
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60 | (2) |
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62 | (2) |
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64 | (3) |
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67 | (20) |
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67 | (20) |
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87 | (8) |
Chapter 4 Simple Nonlinear Systems |
|
95 | (52) |
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|
95 | (22) |
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General Remarks about Nonlinearities |
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|
95 | (1) |
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Elastic, Nonlinear Systems |
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96 | (2) |
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Material Nonlinearity, Ductile Materials |
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98 | (3) |
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Shear and Twisting of Shafts |
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101 | (1) |
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102 | (2) |
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Stress and Strain in a Large Deformation Range |
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104 | (2) |
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106 | (1) |
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Duration of Forward Motion with the Initial Velocity Prescribed |
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|
107 | (2) |
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Characteristics of a Polytropic Gas |
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109 | (1) |
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Large Deflections of Simple Elements |
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110 | (3) |
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Thick Rings and Shells of EPP Material |
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113 | (3) |
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A Body of a Variable Mass |
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116 | (1) |
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117 | (19) |
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117 | (19) |
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136 | (11) |
Chapter 5 Wave Propagation |
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147 | (68) |
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147 | (31) |
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The Basic Solution of the Equation of Motion |
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147 | (3) |
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Imposition of End Disturbance |
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150 | (2) |
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Traveling Waves, Vibration, and a Standing Wave Concept |
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152 | (2) |
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Unconstrained Bar Pushed at the End |
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154 | (1) |
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155 | (1) |
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Transmission of Waves between Materials of Different Properties |
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156 | (2) |
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Waves in Bars of Nonlinear Material |
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158 | (1) |
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The Extent of a Plastic Wave Spreading |
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159 | (3) |
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Bar Impacting Rigid Wall, Inelastic Range |
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162 | (1) |
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Constrained Bar Pushed at the End |
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163 | (2) |
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Twisting Deformation of Shafts |
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165 | (1) |
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166 | (2) |
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Body Waves in an Unbounded Elastic Medium |
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168 | (2) |
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Waves in an Elastic Half-Space |
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170 | (2) |
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172 | (1) |
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Pulse Decay due to Material Damping |
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173 | (2) |
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Some Notes on Finite-Element Modeling of Wave Motion |
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175 | (1) |
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Comments on Limits of Some Solutions |
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176 | (1) |
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177 | (1) |
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178 | (15) |
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178 | (15) |
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193 | (22) |
Chapter 6 Yield and Failure Criteria |
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215 | (14) |
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215 | (11) |
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Basic Theories of Combined Stress |
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215 | (3) |
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Failure under Applied Load |
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218 | (1) |
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Strain-Rate Effects on Smooth Material Samples |
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218 | (2) |
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Balanced Material Concept |
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220 | (1) |
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Strength of Notched Elements under Dynamic Loading |
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221 | (3) |
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224 | (1) |
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225 | (1) |
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226 | (3) |
Chapter 7 Impact |
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229 | (50) |
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229 | (19) |
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Central Impact against Rigid Wall |
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229 | (2) |
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Particle Impact against Rigid Surface |
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231 | (1) |
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Body Impact against Frictionless Surface |
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231 | (2) |
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Body Impact against No-Slip Surface |
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233 | (2) |
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Body of Revolution Impacting a Surface |
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235 | (1) |
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Peak Impact Force and Duration of Impact |
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|
236 | (1) |
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Local Deformation Formulas for Elastic Contact |
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|
237 | (2) |
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Parameters of Impact according to Hertz Theory |
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|
239 | (2) |
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Elastoplastic Contact and Perfectly Plastic Contact |
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241 | (3) |
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Rigid Mass Impacting an Axial Bar |
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244 | (2) |
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Axial Bar with the End Spring |
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246 | (1) |
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247 | (1) |
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248 | (17) |
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248 | (1) |
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248 | (17) |
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265 | (14) |
Chapter 8 Collision |
|
279 | (36) |
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279 | (15) |
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Central Collision of Bodies |
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279 | (2) |
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Collision of Particles in a Plane |
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281 | (1) |
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Collision of Two Bodies and the Influence of Friction |
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282 | (2) |
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Impact against Body Free to Rotate about Fixed Axis |
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284 | (1) |
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Parameters of Collision with Linear Characteristic |
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|
285 | (1) |
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Parameters of Collision with Nonlinear Characteristic |
|
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286 | (1) |
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Shock Load on Unconstrained Bodies and Dynamic Equilibrium Concept |
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287 | (1) |
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Axial Collision of Two Bars with Identical Properties |
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288 | (2) |
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Axial Collision of Two Bars with Different Properties |
|
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290 | (1) |
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Collision Method for a Mass-Beam Impact Problem |
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291 | (1) |
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Collision Accompanied by Strong Shock Waves |
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292 | (2) |
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294 | (12) |
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|
294 | (1) |
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|
294 | (12) |
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|
306 | (9) |
Chapter 9 Cables and Strings |
|
315 | (32) |
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315 | (12) |
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315 | (2) |
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317 | (2) |
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319 | (3) |
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322 | (1) |
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323 | (2) |
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End Disturbance in Cable Motion |
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325 | (1) |
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326 | (1) |
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327 | (11) |
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327 | (11) |
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338 | (9) |
Chapter 10 Beams |
|
347 | (90) |
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347 | (44) |
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347 | (6) |
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347 | (4) |
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Static and Dynamic Properties of Elastic Beams |
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351 | (2) |
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Distributed Loading, Elastic Range |
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353 | (4) |
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Estimation of Response to Rectangular Load Pulses |
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353 | (1) |
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Alternative Estimates of Peak Responses |
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|
354 | (2) |
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Responses to Other Impulse Shapes |
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356 | (1) |
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The Accuracy of the SDOF Approach |
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356 | (1) |
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Point Loads, Elastic Range |
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357 | (4) |
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Transient Beam Response due to a Suddenly Applied Point Load |
|
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357 | (2) |
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Global Response of an Elastic Beam to a Point-Load Impact |
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359 | (1) |
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The Influence of Shear Deformation and Sustained Axial Force |
|
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360 | (1) |
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361 | (6) |
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The Lumped-Parameter Methods for Mass-Beam Impact Problem |
|
|
361 | (1) |
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Application of a Shear Beam Concept |
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362 | (1) |
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A Mass-Beam Impact Approach Involving Transient Beam Deformation |
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363 | (3) |
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Elastic Strain Energy and Approximate Deflected Shapes |
|
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366 | (1) |
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Distributed Loading, Inelastic Range |
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367 | (8) |
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Assumptions and Procedures |
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367 | (1) |
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Limit Values of Bending Moment and Shear Force |
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368 | (1) |
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Static Collapse Values for Distributed Load |
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369 | (2) |
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Simplified Estimates of Dynamic Response |
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|
371 | (3) |
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The Influence of Material Model and the Assumed Shape |
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374 | (1) |
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Point Loads, Inelastic Range |
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375 | (8) |
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Basic Response to Point Loads |
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|
375 | (1) |
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Infinite or Semi-Infinite Beams, Stationary Joints, and Traveling Joints |
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376 | (3) |
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Finite-Length Unconstrained Beams, Step Load, Stationary Joints |
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379 | (1) |
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Some Cases of Strain Distribution along a Beam |
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380 | (2) |
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Deformation History When Plastic Joints Are Involved |
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382 | (1) |
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383 | (7) |
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High-Speed Collision of Two Beams |
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383 | (2) |
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Beams on Elastic Foundation |
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385 | (1) |
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386 | (1) |
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387 | (2) |
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Dynamic Strength of a Circular Ring in Radial Motion |
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389 | (1) |
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390 | (1) |
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391 | (24) |
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391 | (24) |
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|
415 | (22) |
Chapter 11 Columns and Beam-Columns |
|
437 | (66) |
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|
437 | (26) |
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437 | (2) |
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Strain Energy in an Elastic Column |
|
|
439 | (1) |
|
Buckling When Peak Stress Exceeds the Yield Point |
|
|
440 | (1) |
|
Two-Flange Symmetrical Column |
|
|
441 | (3) |
|
Section Capacity under Combined Load Components |
|
|
444 | (1) |
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Compression of Imperfect Columns, Yield Strength, and Post-Yield Response |
|
|
445 | (3) |
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Dynamic Buckling of Elastic Members |
|
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448 | (1) |
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Higher-Order Elastic Buckling of Imperfect Columns |
|
|
449 | (2) |
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Reinforced Concrete (RC) Column |
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451 | (4) |
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Rigid Stick Models of Axially Impacted Beams |
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|
455 | (3) |
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Beams with No Translation of End Points |
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|
458 | (4) |
|
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462 | (1) |
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|
463 | (22) |
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|
463 | (1) |
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|
463 | (22) |
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|
485 | (18) |
Chapter 12 Plates and Shells |
|
503 | (52) |
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|
503 | (27) |
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|
503 | (6) |
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|
503 | (2) |
|
Static Properties of Elastic Plates |
|
|
505 | (3) |
|
|
508 | (1) |
|
Pressure Loading, Elastic Range |
|
|
509 | (2) |
|
Response of Plates to Pressure Shock Loading in Elastic Range |
|
|
509 | (2) |
|
Point Loads, Elastic Range |
|
|
511 | (7) |
|
Transient Plate Response to a Point Load |
|
|
511 | (2) |
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|
513 | (1) |
|
|
514 | (2) |
|
Limit Values of the Internal Forces and the Onset of Yielding |
|
|
516 | (2) |
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|
518 | (4) |
|
Static Collapse Load under Pressure Loading |
|
|
518 | (1) |
|
Estimates of Dynamic Deflection under Pressure |
|
|
519 | (3) |
|
Cylindrical and Spherical Shells |
|
|
522 | (7) |
|
Long, Pressurized Cylindrical Shell with No End Constraints |
|
|
522 | (1) |
|
Cylindrical Shell with Axisymmetric Load Varying along the Axis |
|
|
522 | (2) |
|
Fixed-Ended Cylindrical Shell under Pressure Loading |
|
|
524 | (2) |
|
Static Collapse Loads for Cylindrical Shells |
|
|
526 | (2) |
|
Shells Stiffened by Equidistant Rings |
|
|
528 | (1) |
|
Dynamic Response of Shells |
|
|
529 | (1) |
|
|
529 | (1) |
|
|
530 | (16) |
|
|
530 | (16) |
|
|
546 | (9) |
Chapter 13 Dynamic Effects of Explosion |
|
555 | (56) |
|
|
555 | (20) |
|
Physical Effects of an Explosion |
|
|
555 | (2) |
|
Instantaneous Explosion Concept; γ-Law |
|
|
557 | (1) |
|
Basic Properties of Explosives |
|
|
558 | (1) |
|
Spherical Charge Suspended in Air |
|
|
558 | (2) |
|
Hemispherical Charge on a Solid Surface |
|
|
560 | (1) |
|
Propelling of Solid Container Pieces by Explosive Action |
|
|
561 | (1) |
|
Contact Explosion on a Hard Surface |
|
|
562 | (1) |
|
|
563 | (1) |
|
|
564 | (1) |
|
Loads on Fixed, Solid Objects from a Distant Blast |
|
|
565 | (1) |
|
Blast Wave Interaction with Movable Solid Bodies |
|
|
566 | (4) |
|
|
570 | (2) |
|
|
572 | (1) |
|
The Effects of Explosions in Ground |
|
|
573 | (1) |
|
|
574 | (1) |
|
|
575 | (18) |
|
|
575 | (1) |
|
|
575 | (18) |
|
|
593 | (18) |
Chapter 14 Penetration and Perforation |
|
611 | (28) |
|
|
611 | (10) |
|
Impact against a Semi-Infinite Medium |
|
|
611 | (2) |
|
Impact against a Finite-Thickness Target |
|
|
613 | (1) |
|
|
614 | (1) |
|
|
615 | (2) |
|
|
617 | (1) |
|
Kinematics of a Hard Projectile Movement |
|
|
618 | (2) |
|
|
620 | (1) |
|
|
621 | (12) |
|
|
621 | (1) |
|
|
621 | (12) |
|
|
633 | (6) |
Chapter 15 Damage, Failure, and Fragmentation |
|
639 | (76) |
|
|
639 | (28) |
|
Pressurized Rings and Shells |
|
|
639 | (4) |
|
Static vs. Dynamic Breakup |
|
|
639 | (1) |
|
Mechanism of Multiple Fracturing |
|
|
639 | (2) |
|
Maximum Number of Fragments from Experiment |
|
|
641 | (1) |
|
Radial Motion in Cylindrical Shell under Explosive Pressure |
|
|
642 | (1) |
|
Fragmentation Caused by Wave Reflection |
|
|
643 | (2) |
|
Spalling Effects in an Axial Bar |
|
|
643 | (1) |
|
Breaking of Solids with Stress Waves |
|
|
644 | (1) |
|
|
645 | (3) |
|
The Four Basic Modes of Failure |
|
|
645 | (2) |
|
Dynamic Crack Propagation |
|
|
647 | (1) |
|
|
648 | (4) |
|
Dynamic Destruction of a Structural Element |
|
|
648 | (2) |
|
|
650 | (2) |
|
|
652 | (14) |
|
Deformability of Cracked Material around Cavity |
|
|
652 | (3) |
|
Deformability of Crushed and Cracked Medium in a Cylindrical Cavity |
|
|
655 | (1) |
|
|
656 | (1) |
|
Compressive Strength of Rock and an Estimate of Crushed Zone Radius |
|
|
657 | (1) |
|
Cylindrical Cavity Expanded by Explosive Pressure, CC Mode |
|
|
658 | (1) |
|
Cylindrical Cavity Expanded by Explosive Pressure, Cracking Mode |
|
|
659 | (1) |
|
|
659 | (2) |
|
Ground Cratering due to Subsurface Explosion |
|
|
661 | (5) |
|
|
666 | (1) |
|
|
667 | (26) |
|
|
667 | (26) |
|
|
693 | (22) |
Chapter 16 Selected Examples |
|
715 | (24) |
|
|
715 | (24) |
|
|
715 | (24) |
Appendix A Mohr Circles |
|
739 | (4) |
|
|
739 | (2) |
|
|
741 | (1) |
|
Three-Dimensional State of Stress |
|
|
741 | (2) |
Appendix B Shortcuts and Approximations |
|
743 | (4) |
|
|
743 | (2) |
|
Approximate Functions for Small Argument Values |
|
|
745 | (2) |
Appendix C Aerodynamic Drag Coefficients |
|
747 | (2) |
Appendix D Lame Equations |
|
749 | (2) |
|
|
749 | (1) |
|
Thick, Pressurized Spherical Shell |
|
|
750 | (1) |
References |
|
751 | (6) |
Index |
|
757 | |