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The Science and Art of Structural Dynamics |
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1 | (12) |
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Introduction to Structural Dynamics |
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1 | (1) |
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Analysis of the Dynamical Behavior of Structures |
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2 | (6) |
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Dynamical Testing of Structures |
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8 | (2) |
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10 | (3) |
PART I SINGLE-DEGREE-OF-FREEDOM SYSTEMS |
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13 | (174) |
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Mathematical Models of SDOF Systems |
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15 | (34) |
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Elements of Lumped-Parameter Models |
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15 | (2) |
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Application of Newton's Laws to Lumped-Parameter Models |
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17 | (8) |
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Application of the Principle of Virtual Displacements to Lumped-Parameter Models |
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25 | (7) |
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Application of the Principle of Virtual Displacements to Continuous Models; the Assumed-Modes Method |
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32 | (17) |
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Free Vibration of SDOF Systems |
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49 | (22) |
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Free Vibration of Undamped SDOF Systems |
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51 | (3) |
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Free Vibration of Viscous-Damped SDOF Systems |
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54 | (5) |
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Experimental Determination of Fundamental Natural Frequency and Damping Factor of a SDOF System |
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59 | (6) |
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Free Vibration of a SDOF System with Coulomb Damping |
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65 | (6) |
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Response of SDOF Systems to Harmonic Excitation |
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71 | (40) |
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Response of Undamped SDOF Systems to Harmonic Excitation |
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72 | (4) |
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Response of Viscous-Damped SDOF Systems to Harmonic Excitation |
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76 | (7) |
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Complex Frequency Response |
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83 | (4) |
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Vibration Isolation---Force Transmissibility and Base Motion |
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87 | (5) |
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Vibration Measuring Instruments |
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92 | (3) |
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Use of Frequency Response Data to Determine Natural Frequency and Damping Factor of Lightly Damped SDOF System |
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95 | (2) |
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Equivalent Viscous Damping |
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97 | (4) |
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101 | (10) |
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Response of SDOF Systems to Special Forms of Excitation |
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111 | (12) |
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Response of a Viscous-Damped SDOF System to an Ideal Step Input |
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111 | (2) |
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Response of an Undamped SDOF System to Rectangular Pulse and Ramp Loadings |
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113 | (4) |
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Response of an Undamped SDOF System to a Short-Duration Impulse; Unit Impulse Response |
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117 | (6) |
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Response of SDOF Systems to General Dynamic Excitation |
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123 | (16) |
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Response of a SDOF System to General Dynamic Excitation---Duhamel Integral Method |
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123 | (4) |
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127 | (12) |
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Numerical Evaluation of Dynamic Response of SDOF Systems |
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139 | (24) |
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Numerical Solution Based on Interpolation of the Excitation Function |
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139 | (7) |
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Numerical Solution Based on Approximating Derivatives; Step-by-Step Numerical Integration |
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146 | (5) |
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151 | (3) |
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Step-by-Step Numerical Solution for Response of Nonlinear SDOF Systems |
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154 | (9) |
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Response of SDOF Systems to Periodic Excitation; Frequency Domain Analysis |
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163 | (24) |
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Response to Periodic Excitation---Real Fourier Series |
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163 | (6) |
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Response to Periodic Excitation---Complex Fourier Series |
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169 | (6) |
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Response to Nonperiodic Excitation---Fourier Integral |
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175 | (4) |
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Relationship Between Complex Frequency Response and Unit Impulse Response |
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179 | (1) |
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Discrete Fourier Transforms (DFT) and Fast Fourier Transforms (FFT) |
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180 | (7) |
PART II CONTINUOUS SYSTEMS |
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187 | (48) |
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Mathematical Models of Continuous Systems |
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189 | (18) |
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Application of Newton's Laws---Axial Deformation |
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189 | (3) |
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Application of Newton's Laws---Transverse Vibration of Linearly Elastic Beams (Bernoulli-Euler Theory) |
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192 | (6) |
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Application of Hamilton's Principle |
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198 | (4) |
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Application of Hamilton's Principle---Beam Flexure Including Shear Deformation and Rotatory Inertia (Timoshenko Beam Theory) |
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202 | (5) |
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Free Vibration of Continuous Systems |
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207 | (28) |
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207 | (3) |
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Free Transverse Vibration of Bernoulli-Euler Beams |
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210 | (7) |
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Rayleigh's Method of Approximating the Fundamental Frequency of a Continuous System |
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217 | (2) |
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Free Vibration of Beams Including Shear Deformation and Rotatory Inertia |
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219 | (2) |
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Some Properties of Natural Modes |
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221 | (5) |
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Vibration of Thin Flat Plates |
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226 | (9) |
PART III MULTIPLE-DEGREE-OF-FREEDOM SYSTEMS |
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235 | (282) |
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Mathematical Models of MDOF Systems |
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237 | (36) |
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Application of Newton's Laws to Lumped-Parameter Models |
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237 | (6) |
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243 | (4) |
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Application of Lagrange's Equations to Lumped-Parameter Models |
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247 | (4) |
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Application of Lagrange's Equations to Continuous Models: The Assumed-Modes Method |
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251 | (10) |
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Constrained Coordinates and Lagrange Multipliers |
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261 | (12) |
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Vibration of Undamped 2-DOF Systems |
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273 | (22) |
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Free Vibration of 2-DOF Systems |
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273 | (5) |
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Further Examples of Modes and Frequencies |
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278 | (5) |
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Systems with Rigid-Body Modes |
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283 | (3) |
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Response of an Undamped 2-DOF System to Harmonic Excitation: Mode-Superposition |
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286 | (9) |
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Free Vibration of MDOF Systems |
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295 | (26) |
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Some Properties of Natural Frequencies and Natural Modes |
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295 | (18) |
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Rayleigh Method; Rayleigh-Ritz Method |
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313 | (8) |
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Numerical Evaluation of Modes and Frequencies of MDOF Systems |
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321 | (20) |
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Introduction to Methods for Solving Algebraic Eigenproblems |
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321 | (2) |
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323 | (8) |
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Use of ISMIS to Solve for Modes and Frequencies of MDOF Systems |
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331 | (10) |
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Dynamic Response of MDOF Systems: Mode-Superposition Method |
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341 | (40) |
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Introduction: Principal Coordinates |
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341 | (3) |
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Mode-Displacement Solution for Response of Undamped MDOF Systems |
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344 | (6) |
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Mode-Acceleration Solution for Response of Undamped MDOF Systems |
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350 | (3) |
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Mode-Superposition Solutions for Response of Certain Viscous-Damped Systems |
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353 | (13) |
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Dynamic Stresses by Mode-Superposition |
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366 | (2) |
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Mode-Superposition for Undamped Systems with Rigid-Body Modes |
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368 | (13) |
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Finite Element Modeling of Structures |
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381 | (42) |
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Introduction to the Finite Element Method |
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381 | (2) |
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Element Stiffness and Mass Matrices and Element Force Vector |
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383 | (10) |
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Transformation of Element Matrices |
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393 | (6) |
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Assembly of System Matrices: The ``Direct Stiffness'' Method |
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399 | (7) |
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406 | (3) |
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Constraints: Reduction of Degrees of Freedom |
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409 | (4) |
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Systems with Rigid-Body Modes |
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413 | (10) |
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Vibration Analysis Employing Finite Element Models |
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423 | (24) |
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Finite Element Solution for Natural Frequencies and Modes |
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423 | (10) |
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Finite Element Solution for Dynamic Response by the Mode-Displacement Method |
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433 | (14) |
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Direct Integration Methods for Dynamic Response |
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447 | (20) |
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447 | (5) |
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452 | (3) |
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Properties of Step-by-Step Numerical Integration Algorithms |
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455 | (12) |
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467 | (30) |
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Introduction to Component Mode Synthesis |
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467 | (2) |
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Component Modes for Constrained Components |
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469 | (1) |
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System Synthesis for Undamped Free Vibration |
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470 | (8) |
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Component Modes for Unconstrained Components |
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478 | (5) |
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Residual Flexibility; Residual Component Modes |
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483 | (14) |
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Introduction to Earthquake Response of Structures |
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497 | (20) |
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497 | (1) |
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Response of a SDOF System to Earthquake Excitation: Response Spectra |
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498 | (10) |
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Response of MDOF Systems to Earthquake Excitation |
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508 | (5) |
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513 | (4) |
Appendix A Units |
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517 | (4) |
Author Index |
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521 | (2) |
Subject Index |
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523 | |