Preface |
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ix | |
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1 | (38) |
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1.1 Idealization of Structures |
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2 | (1) |
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3 | (2) |
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1.2.1 Lumped-Mass Procedure |
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4 | (1) |
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1.2.2 Generalized Displacements |
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4 | (1) |
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1.3 Time-Dependent Excitations |
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5 | (1) |
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1.4 Rigid-Body Dynamic Equilibrium |
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6 | (3) |
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1.5 Deformable-Body Dynamic Equilibrium |
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9 | (6) |
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10 | (2) |
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1.5.2 Principle of Virtual Work |
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12 | (3) |
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1.6 Introduction to Generalized Single Degree of Freedom Analysis |
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15 | (17) |
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1.6.1 Lumped Structural Mass/Weight |
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16 | (4) |
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1.6.2 Lumped Structural Stiffness of Members |
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20 | (3) |
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1.6.3 Lumped Structural Stiffness of Lateral Force Resisting Systems |
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23 | (9) |
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1.7 Flexural and Shear Stresses in Lateral Force Resisting Portal Systems |
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32 | (4) |
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1.7.1 Equivalent Static Force Analysis |
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33 | (1) |
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1.7.2 Element Level Analysis |
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33 | (3) |
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36 | (3) |
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2 Free Vibration of Single-Degree-of-Freedom Systems |
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39 | (22) |
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2.1 Free Vibration Response of Undamped SDOF Systems |
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40 | (6) |
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2.1.1 Solution to the Undamped SDOF System Equation of Motion |
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40 | (2) |
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2.1.2 Natural Period and Frequency of Vibration |
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42 | (1) |
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2.1.3 Phase Angle and Maximum Amplitude of Vibration Motion |
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42 | (4) |
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2.2 Free Vibration Response of SDOF Systems with Viscous Damping |
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46 | (11) |
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2.2.1 Critically Damped System |
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48 | (1) |
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49 | (1) |
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50 | (2) |
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2.2.4 Equivalent Structural Damping Modeled with Viscous Damping |
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52 | (2) |
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2.2.5 Logarithmic Decrement |
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54 | (3) |
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57 | (4) |
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3 Forced Vibration Response of SDOF Systems---Harmonic Loading |
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61 | (40) |
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3.1 Vibration Response of Undamped SDOF Systems Subjected to Harmonic Loading |
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62 | (9) |
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3.2 Vibration Response of Damped SDOF Systems Subjected to Harmonic Loading |
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71 | (10) |
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3.3 Vibration Response of SDOF Systems to Support Excitation |
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81 | (4) |
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3.4 Transmissibility and Vibration Isolation |
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85 | (8) |
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3.4.1 Transmissibility of Force from the Structure to the Foundation |
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87 | (1) |
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3.4.2 Transmissibility of Vibration from the Foundation to the Structure |
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88 | (3) |
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3.4.3 Force and Motion Vibration Isolation |
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91 | (2) |
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3.5 Damping Evaluation Using Response to Harmonic Loading |
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93 | (4) |
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3.5.1 Resonant Amplification Method |
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94 | (1) |
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3.5.2 Half-Power Bandwidth Method |
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95 | (2) |
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97 | (4) |
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4 Vibration Response of SDOF Systems to General Dynamic Loading |
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101 | (60) |
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4.1 Response of a SDOF System to an Impulse |
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102 | (6) |
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4.2 General Forcing Function and Duhamel's Integral |
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108 | (6) |
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4.3 Numerical Evaluation of Duhamel's Integral |
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114 | (11) |
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115 | (1) |
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116 | (1) |
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116 | (4) |
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120 | (5) |
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4.4 Response (Shock) Spectra |
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125 | (10) |
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4.5 Approximate Analysis for Short-Duration Excitation Pulses |
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135 | (4) |
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4.6 Response to Ground Motion |
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139 | (6) |
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4.7 Direct Integration Methods |
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145 | (11) |
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4.7.1 Nigam-Jennings Algorithm (Explicit) |
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146 | (3) |
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4.7.2 Central Difference Method (Explicit) |
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149 | (2) |
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4.7.3 Newmark's Beta Method for Linear Systems (Implicit) |
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151 | (5) |
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156 | (5) |
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5 Vibration of Generalized SDOF Systems with Distributed Mass and Distributed Stiffness |
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161 | (36) |
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5.1 Discrete System Analysis (Shear Buildings) |
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162 | (20) |
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5.1.1 Forced Vibration Response of Generalized SDOF Discrete Systems |
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162 | (7) |
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5.1.2 Analysis Summary of Generalized SDOF Systems Forced Vibration Response |
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169 | (6) |
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5.1.3 Support Excitation Vibration Response of Generalized SDOF Discrete Systems |
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175 | (3) |
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5.1.4 Analysis Summary of Support Excitation Vibration Response of Generalized SDOF Systems |
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178 | (4) |
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5.2 Continuous Systems Analysis |
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182 | (11) |
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5.2.1 Forced Vibration Response of Generalized SDOF Continuous Systems |
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183 | (5) |
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5.2.2 Support Excitation Vibration Response of Generalized SDOF Continuous Systems |
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188 | (5) |
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193 | (4) |
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6 Vibration of Multi-Degree-of-Freedom Systems |
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197 | (34) |
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6.1 Generalized Eigenvalue Problem |
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198 | (1) |
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6.2 Undamped Equations of Motion for MDOF System |
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199 | (22) |
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6.2.1 Periods and Mode Shapes for a MDOF System |
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201 | (7) |
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6.2.2 Orthogonality of Mode Shapes (Eigenvectors) |
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208 | (3) |
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6.2.3 Modal Superposition Analysis of Free Vibration Response |
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211 | (10) |
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6.3 Free Vibration Response of MDOF Systems with Viscous Damping |
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221 | (6) |
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6.3.1 Rayleigh Damping for MDOF Systems |
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222 | (5) |
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227 | (4) |
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7 Forced Vibration of MDOF Systems |
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231 | (58) |
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7.1 Forced Vibration Response of Undamped MDOF Systems |
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232 | (15) |
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7.1.1 Displacements, Nodal Forces, Base Shears, and Overturning Moments |
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234 | (2) |
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7.1.2 Combining Maxima Response Values |
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236 | (2) |
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7.1.3 Harmonic Forcing Function Response |
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238 | (4) |
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7.1.4 General Forcing Function Response |
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242 | (5) |
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7.2 Forced Vibration Response of MDOF Systems with Viscous Damping |
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247 | (17) |
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7.2.1 Harmonic Forcing Function Response with Damping |
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248 | (4) |
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7.2.2 General Forcing Function Response with Damping |
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252 | (4) |
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7.2.3 Menial Analysis Method Summary |
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256 | (8) |
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7.3 Support Excitation Vibration Response of MDOF Systems |
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264 | (19) |
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7.3.1 Displacements, Nodal Forces, Base Shears, Overturning Moments, and Modal Masses |
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267 | (9) |
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7.3.2 Modal Analysis Method Summary |
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276 | (7) |
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283 | (6) |
Index |
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289 | |