Structural dynamics : theory and applications
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Bibliographic Information
Structural dynamics : theory and applications
Addison Wesley Longman, c1999
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Includes bibliographical references and index
Description and Table of Contents
Description
This book provides engineering students with an understanding of the dynamic response of structures and the analytical tools to determine such responses. This comprehensive text demonstrates how modern theories and solution techniques can be applied to a large variety of practical, real-world problems. As computers play a more significant role in this field, the authors emphasize discrete methods of analysis and numerical solution techniques throughout the text.
Table of Contents
1. Basic Concepts.
Introduction to Structural Dynamics. Types of Dynamic Loads. Sources of Dynamic Loads. Distinguishing Features of a Dynamic Problem. Methodology for Dynamic Analysis. Types of Structural Vibration. Organization of the Text. Systems of Units. References.
I. SINGLE-DEGREE-OF-FREEDOM (SDOF) SYSTEMS.
2. Equation of Motion and Natural Frequency.
Fundamental Components of a Vibrating System. D'Alembert's Principle of Dynamic Equilibrium. The Energy Method. The Principle of Virtual Displacements. References. Notation. Problems.
3. Undamped Free Vibration.
Simple Harmonic Motion. Interpretation of the Solution. Equivalent Stiffness. Rayleigh Method. References. Notation. Problems.
4. Damped Free Vibration.
Free Vibration with Viscous Damping. Logarithmic Decrement. Hysteresis Damping. Coulomb Damping. References. Notation. Problems.
5. Response to Harmonic Excitation.
Forced Harmonic Response of Undamped Systems. Beating and Resonance. Forced Harmonic Vibrations with Viscous Damping. Effect of Damping Factor on Steady-State Response and Phase Angle. Harmonic Excitation Caused by Rotating Unbalance. Base Excitation. Vibration Isolation and Transmissibility. References. Notation. Problems.
6. Response to Periodic and Arbitrary Dynamic Excitation.
Response to Periodic Excitation. Response to Unit Impulse. Duhamel Integral. Response to Arbitrary Dynamic Excitation. Response Spectrum. References. Notation. Problems.
7. Numerical Evaluation of Dynamic Response.
Interpolation of the Excitation. Direct Integration of the Equation of Motion. Central Difference Method. Runge-Kutta Methods. Average Acceleration Method. Linear Acceleration Method. Response to Base Excitation. Response Spectra by Numerical Integration. References. Notation. Problems.
8. Frequency Domain Analysis.
Alternative Forms of the Fourier Series. Discrete Fourier Transform. Fast Fourier Transform. Discrete Fourier Transform Implementation Considerations. Fourier Integral. References. Notation. Problems.
II. MULTI-DEGREE-OF-FREEDOM (MDOF) SYSTEMS.
9. General Property Matrices for Vibrating Systems.
Flexibility Matrix. Stiffness Matrix. Inertia Properties: Mass Matrix. The Eigenproblem in Vibration Analysis. Static Condensation of the Stiffness Matrix. References. Notation. Problems.
10. Equations of Motion and Undamped Free Vibration.
Hamilton's Principle and the Lagrange Equations. Natural Vibration Frequencies. Natural Vibration Modes. Orthogonality of Natural Modes. Systems Admitting Rigid-Body Modes. Generalized Mass and Stiffness Matrices. Free Vibration Response to Initial Conditions. Approximate Methods for Estimating the Fundamental Frequency. References. Notation. Problems.
11. Numerical Solution Methods for Natural Frequencies and Mode Shapes.
General Solution Methods for Eigenproblems. Inverse Vect
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