## Structural Dynamics for Engineers, 2nd edition

**Price:** £ 36.00

ISBN: 9780727741769

Format: Paperbound

Publish Date: 24/11/2011

Publisher: ICE Publishing

Page Size: 243x170mm

Number of Pages: 336

#### Description

*Structural Dynamics for Engineers, Second edition* is the essential introduction to the dynamics of civil engineering structures for students of structural engineering and graduate engineers.

This book uses carefully-selected worked examples to instil an understanding of the theories underlying widely-used computer analysis systems and show readers how to carry out simple hand calculations in structural dynamics. The methods presented enable readers to check the validity of their results and eliminate errors in their calculations.

• Worked examples in every chapter demonstrate the use of the theories presented.

• Additional purpose-written problems allow you to practice your skills.

• Covers the implementation of damping in design and analysis and the use of dampers to reduce vibration in dynamically sensitive structures.

• Addresses the use of power spectra to predict responses to wind and earthquakes.

• Helps readers to understand and implement modern design codes, which increasingly require knowledge of vibration caused by man or the environment.

*Structural Dynamics for Engineers, Second edition* provides student and graduate engineers with a clear understanding of the evaluation of structural dynamics using simple methods.

#### Contents

**1 - Causes and effects of structural vibration**Vibration of structures: simple harmonic motion

Nature and dynamic effect of man-made and environmental forces

Methods of dynamic response analysis

Single DOF and multi DOF structures

Importance of dynamic testing

**2 - Equivalent one degree of freedom systems**Modelling of structures as one DOF systems

Theoretical modelling by equivalent one DOF mass-spring systems

Equivalent one DOF mass-spring systems for linearly elastic line structures

Equivalent one DOF mass-spring systems for linearly elastic continuous beams

First natural frequency of sway structures

Plates

**3 - Free vibration of one degree of freedom systems**

Free un-damped rectilinear vibration

Free reticular vibration with viscous damping

Evaluation of logarithmic decrement of damping from the decay function

Free un-damped rotational vibration

Polar moment of inertia of equivalent lumped mass-spring system of bar element with one free end

Free rotational vibration with viscous damping

**4 - Forced harmonic vibration of one degree of freedom systems**Rectilinear response of one DOF system with viscous damping to harmonic excitation

Response at resonance

Forces transmitted to the foundation by rotating unbalance in machines and motors

Response to support motion

Seismographs

Rotational response to one DOF systems with viscous damping to harmonic excitation

**5 - Evaluation of equivalent viscous damping coefficients by harmonic excitation**Evaluation of damping from amplification of static response at resonance

Vibration at resonance

Evaluation of damping from response functions obtained by frequency sweeps

Hysteric damping

The effect and behaviour of air and water at resonance

**6 - Response of linear and non-linear one degree of freedom systems to random loading: time domain analysis**Step-by-step integration methods

Dynamic response to turbulent wind

Dynamic response to earthquakes

Dynamic response to impacts caused by falling loads

Response to impulse loading

Incremental equations of motion for multi-DOF systems

**7 - Free vibration of multi-degrees of freedom systems**Eigenvalues and eigenvectors

Determination of free normal mode vibration by solution of the characteristic equation

Solution of cubic characteristic equations by the Newton approximation method

Solution of cubic characteristic equations by the direct method

Two eigenvalue and eigenvector theorems

Iterative optimization of eigenvectors

The Rayleigh quotient

Condensation of the stiffness matrix in lumped mass analysis

Consistent mass matrices

Orthogonality and normalization of eigenvectors

Structural Instability

**8 - Forced harmonic vibration of multi-degrees of freedom systems**Forced vibration of undamped two DOF systems

Forced vibration of damped two DOF systems

Forced vibration of multi-DOF systems with orthogonal damping matrices

Tuned Mass Dampers

**9 - Damping matrices for multi-degrees of freedom systems**Incremental equations of motion for multi-DOF systems

Measurement and evaluation of damping in higher modes

Damping matrices for mult--degrees of freedom systems

Modelling of structural damping by orthogonal damping matrices

**10 - The nature and statistical properties of wind**The nature of wind

Mean wind speed and variation of mean velocity with height

Statistical properties of the fluctuating velocity component of wind

Probability density function and peak factor for fluctuating component of wind

Cumulative distribution function

Pressure coefficients

**11 - Dynamic response to turbulent wind: frequency domain analysis**Aeroelasticity and dynamic response

Dynamic response analysis of aeroelastically stable structures

Frequency domain analysis of single-DOF systems

Relationships between response, drag force and velocity spectra for one DOF systems

Extension of the frequency domain method to multi-DOF systems

Summary of expressions used in the frequency domain method for multi-DOF systems

Modal force spectra for two DOF systems

Modal force spectra for three DOF systems

Aerodynamic damping of multi-DOF systems

Simplified wond response analysis of linear multi-DOF structures in the frequency domain

Concluding remarks on the frequency domain method

Vortex shedding of bluff bodies

Random excitation of tapered cylinders by vortices

Suppression of vortex-induced vibration

Dynamic response to the buffeting of wind using time-integration methods

**12 - The nature and properties of earthquakes**Types and propagation of seismic waves

Propagation velocity of seismic waves

Recording of earthquakes

Magnitude and intensity of earthquakes

Influence of magnitude and surface geology on characteristics of earthquakes

Representation of ground motion

**13 - Dynamic response to earthquakes: frequency domain analysis**Construction of response spectra

Tripartite response spectra

Use of response spectra

Response of multi-DOF systems to earthquakes

Deterministic response analysis using response spectra

Dynamic response to earthquakes using time domain integration methods

Power spectral density functions for earthquakes

Frequency domain analysis of single-DOF systems using power spectra for translational motion

Influence of the dominant frequency of the ground on the magnitude of structural response

Extension of the frequency domain method for translation motion to multi-DOF structures

Response of one-DOF structures to rocking motion

Assumed power spectral density function for rocking motion used in examples

Extension of the frequency domain method for rocking motion to multi-DOF structures

Torsional response to seismic motion

Reduction of dynamic response

Soil structure interaction

**14 - Generation of wind and earthquake histories**Generation of single wind histories by a Fourier series

Generation of wind histories by the autoregressive method

Generation of spatially correlated wind histories

Generation of earthquake histories

Cross correlation of earthquake histories

Design earthquakes