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Structural dynamics of earthquake engineering : theory and application using MATHEMATICA and MATLAB / S. Rajasekaran.

Knovel Civil Engineering & Construction Materials Academic Available online

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Format:
Book
Author/Creator:
Rajasekaran, S.
Series:
Woodhead Publishing Series in Civil and Structural Engineering
Woodhead Publishing in materials
Language:
English
Subjects (All):
MATLAB.
Earthquake engineering--Mathematics.
Earthquake engineering.
Structural dynamics--Mathematics.
Structural dynamics.
Physical Description:
1 online resource (909 p.)
Place of Publication:
Cambridge, England ; New Delhi, India ; Boca Raton, Florida : Woodhead Publishing Limited : CRC Press, 2009.
Language Note:
English
Summary:
Given the risk of earthquakes in many countries, knowing how structural dynamics can be applied to earthquake engineering of structures, both in theory and practice, is a vital aspect of improving the safety of buildings and structures. It can also reduce the number of deaths and injuries and the amount of property damage.The book begins by discussing free vibration of single-degree-of-freedom (SDOF) systems, both damped and undamped, and forced vibration (harmonic force) of SDOF systems. Response to periodic dynamic loadings and impulse loads are also discussed, as are two degrees of freedom
Contents:
Cover; Structural dynamics of earthquake engineering: Theory and application using MATHEMATICA and MATLAB; Copyright; Dedication; Contents; Programs available in this book; Preface; Acknowledgements; 1 Introduction to dynamics; 1.1 Introduction; 1.2 Different types of dynamic loads; 1.3 Difference between dynamic and static problems; 1.4 Methodology; 1.5 Types of vibration; 1.6 Further reading; Part I Structural dynamics in relation to earthquakes; 2 Free vibration of single-degree-of-freedom systems (undamped) in relation to structural dynamics during earthquakes; 2.1 Introduction
2.2 Formulation of the equation of motion2.3 Simple harmonic theory; 2.4 Newton's second law; 2.5 Simple pendulum; 2.6 Comparison of simple harmonic motion and uniform circular motion; 2.7 Energy method; 2.8 Rayleigh method; 2.9 D'Alembert's principle; 2.10 Free vibration of rigid bodies without damping; 2.11 Program 2.1: MATLAB program to draw displacement, velocity and acceleration with respect to time; 2.12 Program 2.2: MATHEMATICA program to draw displacement, velocity and acceleration with respect to time; 2.13 Free vibration of structural systems; 2.14 Exercises; 2.15 Further reading
3 Free vibration of single-degree-of-freedom systems (under-damped) in relation to structural dynamics during earthquakes3.1 Introduction; 3.2 Damping free vibrations; 3.3 Logarithmic decrement; 3.4 Hysteresis damping; 3.5 Coulomb damping; 3.6 Numerical method to find response due to initial conditions only; 3.7 Program 3.1: MATLAB program for free vibration of under-damped (SDOF) systems; 3.8 Program 3.2: MATHEMATICA program for free vibration of damped SDOF systems; 3.9 Summary; 3.10 Exercises; 3.11 Further reading
4 Forced vibration (harmonic force) of single-degree-of-freedom systems in relation to structural dynamics during earthquakes4.1 Forced vibration without damping; 4.2 Beating phenomenon; 4.3 Resonance; 4.4 Forced vibration with damping; 4.5 Program 4.1: MATHEMATICA program to find displacement response of under-damped system subjected to sinusoidal loading; 4.6 Recurrence formula of Wilson; 4.7 Program 4.2: MATLAB program for finding response due to harmonic force; 4.8 Vector relationship in forced vibration; 4.9 Rotating imbalance; 4.10 Transmissibility (force isolation)
4.11 Program 4.3: MATLAB program to compute MF, MX/me and TR4.12 Effectiveness of foundation; 4.13 Displacement isolation; 4.14 Vibration-measuring instruments; 4.15 How to evaluate damping in SDOF; 4.16 Response to ground acceleration; 4.17 Exercises; 4.18 Further reading; 5 Response of structures to periodic dynamic loadings; 5.1 Introduction; 5.2 Fourier analysis; 5.3 Program 5.1: MATHEMATICA program to determine Fourier coefficients of forcing function; 5.4 Response to periodic excitation; 5.5 Program 5.2: MATHEMATICA program for finding the response to a periodic function
5.6 Frequency domain analysis
Notes:
Description based upon print version of record.
Includes bibliographical references at the end of each chapters and index.
Description based on online resource; title from PDF title page (ebrary, viewed February 09, 2014).
ISBN:
1-84569-573-9
1-61344-802-3
OCLC:
871225000

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