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| Free Vibration of Single-Degree-of-Freedom Systems | |
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| Introduction | |
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| Translational Vibrations--Undamped | |
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| Rotational Vibrations and Linearization | |
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| Viscous Damping | |
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| Lagrange's Equations | |
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| Homework Problems | |
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| Forced Vibration of Single-Degree-of-Freedom System | |
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| Introduction | |
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| Seismic Excitation--Step Input | |
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| Direct Force Excitation | |
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| Transfer Functions | |
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| Viscous Damping | |
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| Complex Representations | |
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| Damped Seismic Motion | |
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| Rotating Imbalance | |
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| Identification of Damping and Natural Frequency | |
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| Other Types of Damping | |
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| Accelerometers and Seismometers | |
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| Homework Problems | |
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| Nonsinusoidal Excitations | |
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| Introduction | |
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| Fourier Series Analysis | |
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| Forced Response via the Convolution Integral | |
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| Shock Response | |
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| Homework Problems | |
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| Vibrations Involving More Than One Degree of Freedom | |
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| Introduction | |
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| Free Response--Undamped System | |
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| Forced Response | |
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| Vibration Absorbers without Damping | |
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| Real Behavior of a Vibration Absorber | |
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| Zeros in a Forced Response | |
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| Putting Problems into Normal Form | |
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| Orthogonality of System Eigenvectors | |
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| More on Normal Forms | |
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| Linear Damping | |
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| Comparison of Damped Eigensolutions | |
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| Forced Response of Damped Systems | |
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| Symmetry of Mass and Stiffness Matrices | |
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| Repeated Frequencies and Zero Frequencies | |
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| Influence Coefficients | |
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| Homework Problems | |
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| Distributed Systems | |
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| Introduction | |
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| Free Vibration of a Bar (Rod, String, etc.) | |
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| Free Vibration of a Beam | |
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| Continuous Systems--Forced Vibration | |
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| Orthogonality of Eigenfunctions | |
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| Homework Problems | |
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| Approximate Solutions Methods | |
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| Introduction | |
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| Lumped Approximations | |
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| Rayleigh's Quotient | |
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| Rayleigh-Ritz Method: Discrete Systems | |
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| Rayleigh-Ritz Method: Continuous Problems | |
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| Assumed Modes Method | |
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| Homework Problems | |
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| Seat-of-the-Pants Engineering | |
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| Introduction | |
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| Getting Approximate Results | |
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| Limiting Cases | |
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| Verifying Your Analysis | |
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| Homework Problems | |
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| Experimental Methods and Real World Behavior | |
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| Introduction | |
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| Signal Descriptions | |
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| Fourier Transform Analysis | |
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| Spectral Analyses | |
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| Noise | |
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| Sensors and Actuators | |
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| Nonlinear Effects | |
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| Homework Problems | |
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| Four Continuous Systems | |
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| Lumped Spring Constants | |
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| Assorted Material Constants | |
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| Elementary Matrix Relations | |
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| References | |
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| Selected Readings | |
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| Answers to Selected Problems | |
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| Index | |