## Description

Solution manual for Structural Dynamics Theory and Applications by Joseph W. Tedesco

Table of contents

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

Single-Degree-of-Freedom (SDOF) Systems

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

Undamped Free Vibration

Simple Harmonic Motion

Interpretation of the Solution

Equivalent Stiffness

Rayleigh Method

References

Notation

Problems

4

Free Vibration with Viscous Damping

Logarithmic Decrement

Hysteresis Damping

Coulomb Damping

References

Notation

Problems

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

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

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

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

Multi-Degree-of-Freedom (MDOF) Systems

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

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

Numerical Solution Methods for Natural Frequencies and Mode Shapes

General Solution Methods for Eigenproblems

Inverse Vector Iteration

Forward Vector Iteration

Generalized Jacobi Method

Solution Methods for Large Eigenproblems

References

Notation

Problems

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