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 carefullyselected worked examples to instil an understanding of the theories underlying widelyused 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 purposewritten 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 manmade 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 massspring systems Equivalent one DOF massspring systems for linearly elastic line structures Equivalent one DOF massspring systems for linearly elastic continuous beams First natural frequency of sway structures Plates
3  Free vibration of one degree of freedom systems Free undamped rectilinear vibration Free reticular vibration with viscous damping Evaluation of logarithmic decrement of damping from the decay function Free undamped rotational vibration Polar moment of inertia of equivalent lumped massspring 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 nonlinear one degree of freedom systems to random loading: time domain analysis Stepbystep 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 multiDOF systems
7  Free vibration of multidegrees 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 multidegrees of freedom systems Forced vibration of undamped two DOF systems Forced vibration of damped two DOF systems Forced vibration of multiDOF systems with orthogonal damping matrices Tuned Mass Dampers
9  Damping matrices for multidegrees of freedom systems Incremental equations of motion for multiDOF systems Measurement and evaluation of damping in higher modes Damping matrices for multdegrees 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 singleDOF systems Relationships between response, drag force and velocity spectra for one DOF systems Extension of the frequency domain method to multiDOF systems Summary of expressions used in the frequency domain method for multiDOF systems Modal force spectra for two DOF systems Modal force spectra for three DOF systems Aerodynamic damping of multiDOF systems Simplified wond response analysis of linear multiDOF 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 vortexinduced vibration Dynamic response to the buffeting of wind using timeintegration 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 multiDOF 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 singleDOF 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 multiDOF structures Response of oneDOF 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 multiDOF 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
