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Seismic Analysis of Structures

T. K. Datta

ISBN: 978-0-470-82462-7 March 2010 464 Pages


While numerous books have been written on earthquakes, earthquake resistance design, and seismic analysis and design of structures, none have been tailored for advanced students and practitioners, and those who would like to have most of the important aspects of seismic analysis in one place. With this book, readers will gain proficiencies in the following: fundamentals of seismology that all structural engineers must know; various forms of seismic inputs; different types of seismic analysis like, time and frequency domain analyses, spectral analysis of structures for random ground motion, response spectrum method of analysis; equivalent lateral load analysis as given in earthquake codes; inelastic response analysis and the concept of ductility; ground response analysis and seismic soil structure interaction; seismic reliability analysis of structures; and control of seismic response of structures.
  • Provides comprehensive coverage, from seismology to seismic control
  • Contains useful empirical equations often required in the seismic analysis of structures
  • Outlines explicit steps for seismic analysis of MDOF systems with multi support excitations
  • Works through solved problems to illustrate different concepts
  • Makes use of MATLAB, SAP2000 and ABAQUAS in solving example problems of the book
  • Provides numerous exercise problems to aid understanding of the subject

As one of the first books to present such a comprehensive treatment of the topic, Seismic Analysis of Structures is ideal for postgraduates and researchers in Earthquake Engineering, Structural Dynamics, and Geotechnical Earthquake Engineering. Developed for classroom use, the book can also be used for advanced undergraduate students planning for a career or further study in the subject area. The book will also better equip structural engineering consultants and practicing engineers in the use of standard software for seismic analysis of buildings, bridges, dams, and towers.

Lecture materials for instructors available at


1 Seismology.

1.1 Introduction.

1.2 Seismic Waves.

1.3 Earthquake Measurement Parameters.

1.4 Measurement of an Earthquake.

1.5 Modification of Earthquakes Due to the Nature of the Soil.

1.6 Seismic Hazard Analysis.

2 Seismic Inputs for Structures.

2.1 Introduction.

2.2 Time History Records.

2.3 Frequency Contents of Ground Motion.

2.4 Power Spectral Density Function of Ground Motion.

2.5 Response Spectrum of Earthquake.

2.6 Generation of Synthetic Accelerograms.

2.7 Prediction of Seismic Input Parameters.

3 Response Analysis for Specified Ground Motions.

3.1 Introduction.

3.2 Equation of Motion for a Single Degree of Freedom (SDOF) System.

3.3 Equations of Motion for a Multi-Degrees of Freedom (MDOF) System.

3.4 Response Analysis for Single Degree of Freedom (SDOF) System.

3.5 Response Analysis for Multi-Degrees of Freedom (MDOF) Systems.

4 Frequency Domain Spectral Analysis.

4.1 Introduction.

4.2 Stationary Random Process.

4.3 Fourier Series and Fourier Integral.

4.4 Auto Correlation and Cross Correlation Functions.

4.5 Power Spectral Density Function (Sxx) and Cross Power Spectral Density Function (Sxy).

4.6 Power Spectral Density Function (PSDF) Matrix.

4.7 PSDFs and Cross PSDFs of the Derivatives of the Process.

4.8 Single Input Single Output System (SISO).

4.9 MDOF System with Single-Point and Multi-Point Excitations.

4.10 PSDF Matrix of Member End Forces.

4.11 Modal Spectral Analysis.

4.12 Spectral Analysis Using the State-Space Formulation.

4.13 Steps for Developing a Program for Spectral Analysis in MATLABfor Multi-Support Excitation.

5 Response Spectrum Method of Analysis.

5.1 Introduction.

5.2 Concept of Equivalent Lateral Force and Response Spectrum Method of Analysis.

5.3 Response Spectrum Analysis for Single-Point Excitation.

5.4 Response Spectrum Analysis for Multi-Support Excitations.

5.5 Cascaded Analysis of Secondary Systems using Response Spectrum Method.

5.6 Approximate Modal Response Spectrum Method of Analysis.

5.7 Seismic Coefficient Method.

5.8 Comparison of Some Code Provisions Prescribed by Different Earthquake Codes.

6 Inelastic Seismic Response of Structures.

6.1 Introduction.

6.2 Non-Linear Analysis of Structures for Earthquake Forces.

6.3 Inelastic Earthquake Analysis of Multi-Storey Building Frames.

6.4 Pushover Analysis.

6.5 Concepts of Ductility and Inelastic Response Spectrum.

6.6 Ductility in a Multi-Storey Structure.

7 Seismic Soil Structure Interaction.

7.1 Introduction.

7.2 Wave Propagation through Soil.

7.3 One-Dimensional Wave Propagation and Ground Response Analysis.

7.4 2D or 3D Response Analysis in the Time Domain.

7.5 Dynamic Soil–Structure Interaction.

7.5.1 Bounded Problem and Idealization of Realistic Problems.

7.6 Soil–Pile Structure Interaction.

7.7 Seismic Analysis of Buried Structures.

8 Seismic Reliability Analysis of Structures.

8.1 Introduction.

8.2 Uncertainties.

8.3 Formulation of the Reliability Problem.

8.4 Methods of Finding Probabilities of Failure.

8.5 Seismic Reliability Analysis.

9 Seismic Control of Structures.

9.1 Introduction.

9.2 Base Isolation.

9.3 Base Isolators and their Characteristics.

9.4 Analysis of Base Isolated Buildings.

9.5 Design of Base Isolated Buildings.

9.6 Tuned Mass Damper.

9.7 Viscoelastic Dampers.

9.8 Active Structural Control.

9.9 Active Control Algorithms.

9.10 Semi-Active Control.

Exercise Problems.



Seismic Analysis of Structures Instructors can visit the companion website to access the lecture materials to accompany this title.