BASIC STRUCTURAL DYNAMICS

Size: px
Start display at page:

Download "BASIC STRUCTURAL DYNAMICS"

Transcription

1

2

3 BASIC STRUCTURAL DYNAMICS

4

5 BASIC STRUCTURAL DYNAMICS James C. Anderson Ph.D. Professor of Civil Engineering, University of Southern California Farzad Naeim Ph.D., S.E., Esq. Vice President and General Counsel, John A. Martin & Associates, Inc. JOHN WILEY & SONS, INC.

6 This book is printed on acid-free paper. Copyright 2012 by John Wiley & Sons, Inc. All rights reserved. Published by John Wiley & Sons, Inc., Hoboken, New Jersey. Published simultaneously in Canada. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning, or otherwise, except as permitted under Section 107 or 108 of the 1976 United States Copyright Act, without either the prior written permission of the Publisher, or authorization through payment of the appropriate per-copy fee to the Copyright Clearance Center, 222 Rosewood Drive, Danvers, MA 01923, (978) , fax (978) , or on the web at Requests to the Publisher for permission should be addressed to the Permissions Department, John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030, (201) , fax (201) , or online at Limit of Liability/Disclaimer of Warranty: While the publisher and the author have used their best efforts in preparing this book, they make no representations or warranties with respect to the accuracy or completeness of the contents of this book and specifically disclaim any implied warranties of merchantability or fitness for a particular purpose. No warranty may be created or extended by sales representatives or written sales materials. The advice and strategies contained herein may not be suitable for your situation. You should consult with a professional where appropriate. Neither the publisher nor the author shall be liable for damages arising herefrom. For general information about our other products and services, please contact our Customer Care Department within the United States at (800) , outside the United States at (317) or fax (317) Wiley publishes in a variety of print and electronic formats and by print-on-demand. Some material included with standard print versions of this book may not be included in e-books or in print-on-demand. If this book refers to media such as a CD or DVD that is not included in the version you purchased, you may download this material at For more information about Wiley products, visit Library of Congress Cataloging-in-Publication Data: Anderson, J. C. (James C.), Basic structural dynamics / James C. Anderson, Farzad Naeim. pages cm Includes bibliographical references and index. ISBN: ; (ebk); (ebk); (ebk); (ebk); (ebk); (ebk) 1. Structural dynamics Textbooks. I. Naeim, Farzad. II. Title. TA654.A dc Printed in the United States of America

7 To our wives, Katherine and Fariba

8

9 CONTENTS PREFACE xi 1 BASIC CONCEPTS OF STRUCTURAL DYNAMICS The Dynamic Environment / Types of Dynamic Loading / Basic Principles / Dynamic Equilibrium / 9 2 SINGLE-DEGREE-OF-FREEDOM SYSTEMS Reduction of Degrees of Freedom / Time-Dependent Force / Gravitational Forces / Earthquake Ground Motion / Formulation of Equation of Motion / d Alembert s Principle / Virtual Work (Virtual Displacements) / Generalized Coordinates / Discrete Parameters / Continuous Parameters / 31 vii

10 viii CONTENTS Transformation Factors / Axial Load Effect / Linear Approximation / 44 3 FREE-VIBRATION RESPONSE OF SINGLE-DEGREE-OF-FREEDOM SYSTEMS Undamped Free Vibration / Alternate Solution / Rayleigh s Method / Selection of Deflected Shape / Damped Free Vibration / Rotating Vector Form / Logarithmic Decrement / Radical Positive / 67 4 RESPONSE TO HARMONIC LOADING Undamped Dynamic System / Damped Dynamic System / Tripartite Logarithmic Plot / Evaluation of Damping / Seismic Accelerometers and Displacement Meters (Seismographs) / 95 5 RESPONSE TO IMPULSE LOADS Rectangular Pulse / Damped Rectangular Pulse / Triangular Pulse / Approximate Analysis for Short-Duration Impulse Load / RESPONSE TO ARBITRARY DYNAMIC LOADING Duhamel Integral / Numerical Formulation of the Equation of Motion / Numerical Integration Methods / Newmark s Numerical Method / 127

11 CONTENTS ix 7 MULTIPLE-DEGREE-OF-FREEDOM SYSTEMS Elastic Properties / Flexibility / Stiffness / Inertia / Viscous Damping / Undamped Free Vibration / Free Vibration / Betti s Law / Orthogonality Properties of Mode Shapes / Changing Coordinates (Inverse Transformation) / Holzer Method for Shear Buildings / Axial Load Effects (Linear Approximation) / Modal Equations for Undamped Time-Dependent Force Analysis / Modal Equations of Damped Forced Vibration / Modal Equations for Seismic Response Analysis / NONLINEAR RESPONSE OF MULTIPLE-DEGREE-OF-FREEDOM SYSTEMS Static Nonlinear Analysis / Dynamic Nonlinear Analysis / Gauss Reduction / MATLAB Applications / SEISMIC RESPONSE OF STRUCTURES Introduction / Linear Elastic Response Spectra / Elastic Design Response Spectrum / Earthquake Response of SDOF Systems / Earthquake Response Analysis of MDOF Systems / Time History Modal Analysis / Modal Combinations for Spectral Analyses / 222

12 x CONTENTS 9.6 Structural Dynamics in the Building Code / Equivalent Lateral Force Procedure / Modal Response Spectrum Procedure / 237 APPENDIX HISTORICAL DEVELOPMENT OF BUILDING CODE SEISMIC PROVISIONS 249 SELECTED REFERENCES 263 INDEX 265

13 PREFACE Our experience of over 30 years of teaching structural dynamics has demonstrated to us that, more often than not, novice students of structural dynamics find the subject foreign and difficult to understand. The main objective of this book is to overcome this hurdle and provide a textbook that is easy to understand and relatively short a book that can be used as an efficient tool for teaching a first course on the subject without overwhelming the students who are just beginning their study of structural dynamics. There is no shortage of good and comprehensive textbooks on structural dynamics, and once the student has mastered the basics of the subject, he or she can more efficiently navigate the more complex and intricate subjects in this field. This book may also prove useful as a reference for practicing engineers who are not familiar with structural dynamics or those who want a better understanding of the various code provisions that are based on the dynamic response of structures and/or components. This book is also perhaps unique in that it integrates MATLAB applications throughout. Example problems are generally worked by hand and then followed by MATLAB algorithms and solutions of the same. This will help students solve more problems without getting bogged down in extensive hand calculations that would otherwise be necessary. It will also let students experiment with changing various parameters of a dynamic problem and get a feel for how changing various parameters xi

14 xii PREFACE will affect the outcome. Extensive use is made of the graphics in MAT- LAB to make the concept of dynamic response real. We decided to use MATLAB in many of the examples in the book because (1) it is a very powerful tool, (2) it is easy to use, and (3) a free or nominally priced student version is available to virtually all engineering students. We have consciously decided not to include a tutorial on basic MATLAB operations simply because such information is readily available within the help files supplied with MATLAB and in the documentation that is shipped with the student version of MATLAB. More than 20 years ago, it was decided that, because of the seismic risk in California and the fact that at that time most of our undergraduate students came from California, a course titled Introduction to Structural Dynamics was needed. This course was intended for seniors and firstyear graduate students in structural engineering. During this time period, much has changed in this important area of study. There has been a tremendous change in both computational hardware and software, which are now readily available to students. Much has also been learned from the occurrence of major earthquakes in various locations around the world and the recorded data that have been obtained from these earthquakes, including both building data and free field data. This book attempts to draw on and reflect these changes to the extent practical and useful to its intended audience. The book is conceptually composed of three parts. The first part, consisting of Chapters 1 to 6, covers the basic concepts and dynamic response of single-degree-of-freedom systems to various excitations. The second part, consisting of Chapters 7 and 8, covers the linear and nonlinear response of multiple-degree-of-freedom systems to various excitations. Finally, the third part, consisting of Chapter 9 and the Appendix, deals with the linear and nonlinear response of structures subjected to earthquake ground motions and structural dynamics related code provisions for assessing the seismic response of structures. It is anticipated that for a semester-long introductory course on structural dynamics, Chapters 1 to 7 with selected sections of the other chapters will be covered in the classroom. This book assumes the student is familiar with at least a first course in differential equations and elementary matrix algebra. Experience with computer programming is helpful but not essential. James C. Anderson, Los Angeles, CA Farzad Naeim, Los Angeles, CA

15 CHAPTER 1 BASIC CONCEPTS OF STRUCTURAL DYNAMICS 1.1 THE DYNAMIC ENVIRONMENT Structural engineers are familiar with the analysis of structures for static loads in which a load is applied to the structure and a single solution is obtained for the resulting displacements and member forces. When considering the analysis of structures for dynamic loads, the term dynamic simply means time-varying. Hence, the loading and all aspects of the response vary with time. This results in possible solutions at each instant during the time interval under consideration. From an engineering standpoint, the maximum values of the structural response are usually the ones of particular interest, especially when considering the case of structural design. Two different approaches, which are characterized as either deterministic or nondeterministic, can be used for evaluating the structural response to dynamic loads. If the time variation of the loading is fully known, the analysis of the structural response is referred to as a deterministic analysis. This is the case even if the loading is highly oscillatory or irregular in character. The analysis leads to a time history of the displacements in the structure corresponding to the prescribed time history of the loading. Other response parameters such as member forces and 1

BASIC STRUCTURAL DYNAMICS

BASIC STRUCTURAL DYNAMICS BASIC STRUCTURAL DYNAMICS BASIC STRUCTURAL DYNAMICS James C. Anderson Ph.D. Professor of Civil Engineering, University of Southern California Farzad Naeim Ph.D., S.E., Esq. Vice President and General

More information

Applied Regression Modeling

Applied Regression Modeling Applied Regression Modeling Applied Regression Modeling A Business Approach Iain Pardoe University of Oregon Charles H. Lundquist College of Business Eugene, Oregon WILEY- INTERSCIENCE A JOHN WILEY &

More information

Arrow Pushing in Organic Chemistry

Arrow Pushing in Organic Chemistry Arrow Pushing in Organic Chemistry An Easy Approach to Understanding Reaction Mechanisms Daniel E. Levy Arrow Pushing in Organic Chemistry Arrow Pushing in Organic Chemistry An Easy Approach to Understanding

More information

TEACH YOURSELF THE BASICS OF ASPEN PLUS

TEACH YOURSELF THE BASICS OF ASPEN PLUS TEACH YOURSELF THE BASICS OF ASPEN PLUS TEACH YOURSELF THE BASICS OF ASPEN PLUS RALPH SCHEFFLAN Chemical Engineering and Materials Science Department Stevens Institute of Technology A JOHN WILEY & SONS,

More information

BASICS OF ANALYTICAL CHEMISTRY AND CHEMICAL EQUILIBRIA

BASICS OF ANALYTICAL CHEMISTRY AND CHEMICAL EQUILIBRIA BASICS OF ANALYTICAL CHEMISTRY AND CHEMICAL EQUILIBRIA BASICS OF ANALYTICAL CHEMISTRY AND CHEMICAL EQUILIBRIA BRIAN M. TISSUE Virginia Tech Department of Chemistry Blacksburg, VA Cover Design: Wiley Cover

More information

FOURIER TRANSFORMS. Principles and Applications. ERIC W. HANSEN Thayer School of Engineering, Dartmouth College

FOURIER TRANSFORMS. Principles and Applications. ERIC W. HANSEN Thayer School of Engineering, Dartmouth College FOURIER TRANSFORMS FOURIER TRANSFORMS Principles and Applications ERIC W. HANSEN Thayer School of Engineering, Dartmouth College Cover Image: istockphoto/olgaaltunina Copyright 2014 by John Wiley & Sons,

More information

AN INTRODUCTION TO PROBABILITY AND STATISTICS

AN INTRODUCTION TO PROBABILITY AND STATISTICS AN INTRODUCTION TO PROBABILITY AND STATISTICS WILEY SERIES IN PROBABILITY AND STATISTICS Established by WALTER A. SHEWHART and SAMUEL S. WILKS Editors: David J. Balding, Noel A. C. Cressie, Garrett M.

More information

STATISTICAL ANALYSIS WITH MISSING DATA

STATISTICAL ANALYSIS WITH MISSING DATA STATISTICAL ANALYSIS WITH MISSING DATA SECOND EDITION Roderick J.A. Little & Donald B. Rubin WILEY SERIES IN PROBABILITY AND STATISTICS Statistical Analysis with Missing Data Second Edition WILEY SERIES

More information

ANALYSIS OF ELECTRIC MACHINERY AND DRIVE SYSTEMS

ANALYSIS OF ELECTRIC MACHINERY AND DRIVE SYSTEMS ANALYSIS OF ELECTRIC MACHINERY AND DRIVE SYSTEMS IEEE Press 445 Hoes Lane Piscataway, NJ 08854 IEEE Press Editorial Board 2013 John Anderson, Editor in Chief Linda Shafer Saeid Nahavandi George Zobrist

More information

Discriminant Analysis and Statistical Pattern Recognition

Discriminant Analysis and Statistical Pattern Recognition Discriminant Analysis and Statistical Pattern Recognition GEOFFRY J. McLACHLAN The University of Queensland @EEC*ENCE A JOHN WILEY & SONS, INC., PUBLICATION This Page Intentionally Left Blank Discriminant

More information

TRANSPORT PHENOMENA AND UNIT OPERATIONS

TRANSPORT PHENOMENA AND UNIT OPERATIONS TRANSPORT PHENOMENA AND UNIT OPERATIONS TRANSPORT PHENOMENA AND UNIT OPERATIONS A COMBINED APPROACH Richard G. Griskey A JOHN WILEY & SONS, INC., PUBLICATION This book is printed on acid-free paper Copyright

More information

Statistical Methods. for Forecasting

Statistical Methods. for Forecasting Statistical Methods for Forecasting Statistical Methods for Forecasting BOVAS ABRAHAM JOHANNES LEDOLTER WILEY- INTERSCI ENCE A JOHN WILEY & SONS, INC., PUBLICA'TION Copyright 0 1983.2005 by John Wiley

More information

INTRODUCTION TO CHEMICAL ENGINEERING COMPUTING

INTRODUCTION TO CHEMICAL ENGINEERING COMPUTING INTRODUCTION TO CHEMICAL ENGINEERING COMPUTING BRUCE A. FINLÄYSON, PH.D. University of Washington Seattle, Washington iwiley- INTERSCIENCE A JOHN WILEY & SONS, INC., PUBLICATION Microsoft product screen

More information

STRESS IN ASME PRESSURE VESSELS, BOILERS, AND NUCLEAR COMPONENTS

STRESS IN ASME PRESSURE VESSELS, BOILERS, AND NUCLEAR COMPONENTS STRESS IN ASME PRESSURE VESSELS, BOILERS, AND NUCLEAR COMPONENTS Wiley-ASME Press Series List Stress in ASME Pressure Vessels, Boilers, and Nuclear Jawad October 2017 Components Robust Adaptive Control

More information

REACTIVE INTERMEDIATE CHEMISTRY

REACTIVE INTERMEDIATE CHEMISTRY REACTIVE INTERMEDIATE CHEMISTRY REACTIVE INTERMEDIATE CHEMISTRY Edited by Robert A.Moss Department of Chemistry Rutgers University New Brunswick, NJ Matthew S. Platz Department of Chemistry Ohio State

More information

Thermal Design. Heat Sinks, Thermoelectrics, Heat Pipes, Compact Heat Exchangers, and Solar Cells. HoSung Lee JOHN WILEY & SONS, INC.

Thermal Design. Heat Sinks, Thermoelectrics, Heat Pipes, Compact Heat Exchangers, and Solar Cells. HoSung Lee JOHN WILEY & SONS, INC. Thermal Design Thermal Design Heat Sinks, Thermoelectrics, Heat Pipes, Compact Heat Exchangers, and Solar Cells HoSung Lee JOHN WILEY & SONS, INC. This book is printed on acid-free paper. Copyright c

More information

BASIC GAS CHROMATOGRAPHY Second Edition HAROLD M. MCNAIR JAMES M. MILLER A JOHN WILEY & SONS, INC., PUBLICATION BASIC GAS CHROMATOGRAPHY BASIC GAS CHROMATOGRAPHY Second Edition HAROLD M. MCNAIR JAMES

More information

Arrow Pushing in Organic Chemistry

Arrow Pushing in Organic Chemistry Arrow Pushing in Organic Chemistry Arrow Pushing in Organic Chemistry An Easy Approach to Understanding Reaction Mechanisms Daniel E. Levy Copyright # 2008 by John Wiley & Sons, Inc. All rights reserved

More information

TRANSPORT PHENOMENA FOR CHEMICAL REACTOR DESIGN

TRANSPORT PHENOMENA FOR CHEMICAL REACTOR DESIGN TRANSPORT PHENOMENA FOR CHEMICAL REACTOR DESIGN Laurence A. Belfiore Department of Chemical Engineering Colorado State University Fort Collins, CO A JOHN WILEY & SONS, INC., PUBLICATION TRANSPORT PHENOMENA

More information

A FIRST COURSE IN INTEGRAL EQUATIONS

A FIRST COURSE IN INTEGRAL EQUATIONS A FIRST COURSE IN INTEGRAL EQUATIONS This page is intentionally left blank A FIRST COURSE IN INTEGRAL EQUATIONS Abdul-M ajid Wazwaz Saint Xavier University, USA lib World Scientific 1M^ Singapore New Jersey

More information

GREEN CHEMISTRY AND ENGINEERING

GREEN CHEMISTRY AND ENGINEERING GREEN CHEMISTRY AND ENGINEERING GREEN CHEMISTRY AND ENGINEERING A Practical Design Approach CONCEPCIÓN JIMÉNEZ-GONZÁLEZ DAVID J. C. CONSTABLE Copyright Ó 2011 by John Wiley & Sons, Inc. All rights reserved.

More information

INSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous) Dundigal, Hyderabad

INSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous) Dundigal, Hyderabad Course Title Course Code INSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous) Dundigal, Hyderabad - 500 043 STRUCTURAL ENGINEERING (Department of Civil Engineering) COURSE DESCRIPTION FORM STRUCTURAL DYNAMICS

More information

INTRODUCTION TO LINEAR REGRESSION ANALYSIS

INTRODUCTION TO LINEAR REGRESSION ANALYSIS INTRODUCTION TO LINEAR REGRESSION ANALYSIS WILEY SERIES IN PROBABILITY AND STATISTICS Established by WALTER A. SHEWHART and SAMUEL S. WILKS Editors: David J. Balding, Noel A. C. Cressie, Garrett M. Fitzmaurice,

More information

Geometrical Properties of Differential Equations Downloaded from by on 05/09/18. For personal use only.

Geometrical Properties of Differential Equations Downloaded from  by on 05/09/18. For personal use only. This page intentionally left blank Applications of Lie Group Analysis in Financial Mathematics Ljudmila A. Bordag University of Applied Sciences Zittau/Görlitz, Germany World Scientific NEW JERSEY LONDON

More information

in this web service Cambridge University Press

in this web service Cambridge University Press CONTINUUM MECHANICS This is a modern textbook for courses in continuum mechanics. It provides both the theoretical framework and the numerical methods required to model the behavior of continuous materials.

More information

Fundamental Concepts in Heterogeneous Catalysis

Fundamental Concepts in Heterogeneous Catalysis Fundamental Concepts in Heterogeneous Catalysis Fundamental Concepts in Heterogeneous Catalysis Jens K. Nørskov Felix Studt Frank Abild-Pedersen Thomas Bligaard Cover Image: istockphoto olgaaltunina Cover

More information

ELECTRONIC MATERIALS SCIENCE

ELECTRONIC MATERIALS SCIENCE ELECTRONIC MATERIALS SCIENCE ELECTRONIC MATERIALS SCIENCE Eugene A. Irene University of North Carolina Chapel Hill, North Carolina A John Wiley & Sons, Inc., Publication Copyright 2005 by John Wiley &

More information

VIBRATION PROBLEMS IN ENGINEERING

VIBRATION PROBLEMS IN ENGINEERING VIBRATION PROBLEMS IN ENGINEERING FIFTH EDITION W. WEAVER, JR. Professor Emeritus of Structural Engineering The Late S. P. TIMOSHENKO Professor Emeritus of Engineering Mechanics The Late D. H. YOUNG Professor

More information

DIFFERENTIAL EQUATION ANALYSIS IN BIOMEDICAL SCIENCE AND ENGINEERING

DIFFERENTIAL EQUATION ANALYSIS IN BIOMEDICAL SCIENCE AND ENGINEERING DIFFERENTIAL EQUATION ANALYSIS IN BIOMEDICAL SCIENCE AND ENGINEERING DIFFERENTIAL EQUATION ANALYSIS IN BIOMEDICAL SCIENCE AND ENGINEERING ORDINARY DIFFERENTIAL EQUATION APPLICATIONS WITH R William E.

More information

RESPONSE SURFACE METHODOLOGY

RESPONSE SURFACE METHODOLOGY RESPONSE SURFACE METHODOLOGY WILEY SERIES IN PROBABILITY AND STATISTICS Established by WALTER A. SHEWHART and SAMUEL S. WILKS Editors: David J. Balding, Noel A. C. Cressie, Garrett M. Fitzmaurice, Iain

More information

Dynamics of Offshore Structures

Dynamics of Offshore Structures - 7?// 3 Dynamics of Offshore Structures, Editor John Wiley & Sons, Inc. Contents Preface Contributors Acknowledgments xi xiii xv 1 Structures in the Offshore Environment 1 1.1 Historical Perspective,

More information

Using Meteorology Probability Forecasts in Operational Hydrology

Using Meteorology Probability Forecasts in Operational Hydrology Using Meteorology Probability Forecasts in Operational Hydrology THOMAS E. CROLEY II Great Lakes Environmental Research Laboratory National Oceanic and Atmospheric Administration United States Department

More information

THE ORGANIC CHEMISTRY OF DRUG SYNTHESIS

THE ORGANIC CHEMISTRY OF DRUG SYNTHESIS THE ORGANIC CHEMISTRY OF DRUG SYNTHESIS THE ORGANIC CHEMISTRY OF DRUG SYNTHESIS Volume 7 DANIEL LEDNICER North Bethesda, MD Copyright # 2008 by John Wiley & Sons, Inc. All rights reserved Published by

More information

Organometallics in Synthesis. Third Manual

Organometallics in Synthesis. Third Manual Organometallics in Synthesis Third Manual Organometallics in Synthesis Third Manual Edited by Manfred Schlosser Swiss Federal Institute of Technology Lausanne, Switzerland U Mg Na SI К Fe Zn Pd Sn WILEY

More information

STOCHASTIC DYNAMICS OF STRUCTURES

STOCHASTIC DYNAMICS OF STRUCTURES STOCHASTIC DYNAMICS OF STRUCTURES Jie Li and Jianbing Chen Tongji University, China STOCHASTIC DYNAMICS OF STRUCTURES STOCHASTIC DYNAMICS OF STRUCTURES Jie Li and Jianbing Chen Tongji University, China

More information

WATER SOFTENING WITH POTASSIUM CHLORIDE

WATER SOFTENING WITH POTASSIUM CHLORIDE WATER SOFTENING WITH POTASSIUM CHLORIDE WATER SOFTENING WITH POTASSIUM CHLORIDE Process, Health, and Environmental Benefi ts William Wist Jay H. Lehr Rod McEachern A JOHN WILEY & SONS, INC., PUBLICATION

More information

Statistical Hypothesis Testing with SAS and R

Statistical Hypothesis Testing with SAS and R Statistical Hypothesis Testing with SAS and R Statistical Hypothesis Testing with SAS and R Dirk Taeger Institute for Prevention and Occupational Medicine of the German Social Accident Insurance, Institute

More information

ENVIRONMENTAL LABORATORY EXERCISES FOR INSTRUMENTAL ANALYSIS AND ENVIRONMENTAL CHEMISTRY

ENVIRONMENTAL LABORATORY EXERCISES FOR INSTRUMENTAL ANALYSIS AND ENVIRONMENTAL CHEMISTRY ENVIRONMENTAL LABORATORY EXERCISES FOR INSTRUMENTAL ANALYSIS AND ENVIRONMENTAL CHEMISTRY ENVIRONMENTAL LABORATORY EXERCISES FOR INSTRUMENTAL ANALYSIS AND ENVIRONMENTAL CHEMISTRY FRANK M. DUNNIVANT Whitman

More information

Practical Statistics for Geographers and Earth Scientists

Practical Statistics for Geographers and Earth Scientists Practical Statistics for Geographers and Earth Scientists Nigel Walford A John Wiley & Sons, Ltd., Publication Practical Statistics for Geographers and Earth Scientists Practical Statistics for Geographers

More information

Advanced Engineering. Dynamics. H. R. Harrison. T. Nettleton. Formerly Department of Mechanical Engineering & Aeronautics City University London

Advanced Engineering. Dynamics. H. R. Harrison. T. Nettleton. Formerly Department of Mechanical Engineering & Aeronautics City University London Advanced Engineering Dynamics H. R. Harrison Formerly Department of Mechanical Engineering & Aeronautics City University London T. Nettleton Formerly Department of Mechanical Engineering & Aeronautics

More information

BIRLA INSTITUTE OF TECHNOLOGY AND SCIENCE, Pilani Pilani Campus

BIRLA INSTITUTE OF TECHNOLOGY AND SCIENCE, Pilani Pilani Campus First Semester 2017-2018 Instruction Division Course Handout (Part II) Date: 02/08/2017 In addition to Part I (General Handout for all courses appended to the Time Table), this portion gives further specific

More information

PROTEIN SEQUENCING AND IDENTIFICATION USING TANDEM MASS SPECTROMETRY

PROTEIN SEQUENCING AND IDENTIFICATION USING TANDEM MASS SPECTROMETRY PROTEIN SEQUENCING AND IDENTIFICATION USING TANDEM MASS SPECTROMETRY Michael Kinter Department of Cell Biology Lerner Research Institute Cleveland Clinic Foundation Nicholas E. Sherman Department of Microbiology

More information

Quick Selection Guide to Chemical Protective Clothing Fourth Edition A JOHN WILEY & SONS PUBLICATION

Quick Selection Guide to Chemical Protective Clothing Fourth Edition A JOHN WILEY & SONS PUBLICATION Quick Selection Guide to Chemical Protective Clothing Fourth Edition Krister Forsberg Lidingo, Sweden S.Z. Mansdorf Paris, France A JOHN WILEY & SONS PUBLICATION Quick Selection Guide to Chemical Protective

More information

QUANTUM COMPUTING EXPLAINED

QUANTUM COMPUTING EXPLAINED QUANTUM COMPUTING EXPLAINED David McMahon WILEY-INTERSCIENCE A John Wiley & Sons, Inc., Publication QUANTUM COMPUTING EXPLAINED QUANTUM COMPUTING EXPLAINED David McMahon WILEY-INTERSCIENCE A John Wiley

More information

NONLINEAR STRUCTURAL DYNAMICS USING FE METHODS

NONLINEAR STRUCTURAL DYNAMICS USING FE METHODS NONLINEAR STRUCTURAL DYNAMICS USING FE METHODS Nonlinear Structural Dynamics Using FE Methods emphasizes fundamental mechanics principles and outlines a modern approach to understanding structural dynamics.

More information

COMPARATIVE STATICS ANALYSIS in ECONOMICS

COMPARATIVE STATICS ANALYSIS in ECONOMICS COMPARATIVE STATICS ANALYSIS in ECONOMICS This page is intentionally left blank COMPARATIVE STATICS ANALYSIS in ECONOMICS Kevin M. Currier Department of Economics Oklahoma State University \ > World Scientific

More information

ELECTRON FLOW IN ORGANIC CHEMISTRY

ELECTRON FLOW IN ORGANIC CHEMISTRY ELECTRON FLOW IN ORGANIC CHEMISTRY ELECTRON FLOW IN ORGANIC CHEMISTRY A Decision-Based Guide to Organic Mechanisms Second Edition Paul H. Scudder New College of Florida WILEY A JOHN WILEY & SONS, INC.,

More information

PRINCIPLES OF CHEMICAL REACTOR ANALYSIS AND DESIGN

PRINCIPLES OF CHEMICAL REACTOR ANALYSIS AND DESIGN PRINCIPLES OF CHEMICAL REACTOR ANALYSIS AND DESIGN PRINCIPLES OF CHEMICAL REACTOR ANALYSIS AND DESIGN New Tools for Industrial Chemical Reactor Operations Second Edition UZI MANN Texas Tech University

More information

Chapter 2: Rigid Bar Supported by Two Buckled Struts under Axial, Harmonic, Displacement Excitation..14

Chapter 2: Rigid Bar Supported by Two Buckled Struts under Axial, Harmonic, Displacement Excitation..14 Table of Contents Chapter 1: Research Objectives and Literature Review..1 1.1 Introduction...1 1.2 Literature Review......3 1.2.1 Describing Vibration......3 1.2.2 Vibration Isolation.....6 1.2.2.1 Overview.

More information

ENGINEERING MECHANICS

ENGINEERING MECHANICS ENGINEERING MECHANICS Engineering Mechanics Volume 2: Stresses, Strains, Displacements by C. HARTSUIJKER Delft University of Technology, Delft, The Netherlands and J.W. WELLEMAN Delft University of Technology,

More information

Foundations and Applications of Engineering Mechanics

Foundations and Applications of Engineering Mechanics Foundations and Applications of Engineering Mechanics 4843/24, 2nd Floor, Ansari Road, Daryaganj, Delhi - 110002, India Cambridge University Press is part of the University of Cambridge. It furthers the

More information

STRUCTURAL DYNAMICS. Theory and Computation Fifth Edition

STRUCTURAL DYNAMICS. Theory and Computation Fifth Edition STRUCTURAL DYNAMICS Theory and Computation Fifth Edition STRUCTURAL DYNAMICS Theory and Computation Fifth Edition Mario Paz Speed Scientific School University of Louisville Louisville, KY William Leigh

More information

APPLIED ELECTROMAGNETICS AND ELECTROMAGNETIC COMPATIBILITY

APPLIED ELECTROMAGNETICS AND ELECTROMAGNETIC COMPATIBILITY APPLIED ELECTROMAGNETICS AND ELECTROMAGNETIC COMPATIBILITY APPLIED ELECTROMAGNETICS AND ELECTROMAGNETIC C 0 M PATI B I L ITY Dipak L. Sengupta The University of Michigan and The University of Detroit

More information

Simplified Structural Analysis and Design for Architects

Simplified Structural Analysis and Design for Architects Simplified Structural Analysis and Design for Architects Second Edition Rima Taher, PhD, PE New Jersey Institute of Technology Bassim Hamadeh, CEO and Publisher Kassie Graves, Director of Acquisitions

More information

ORGANO MAIN GROUP CHEMISTRY

ORGANO MAIN GROUP CHEMISTRY ORGANO MAIN GROUP CHEMISTRY ORGANO MAIN GROUP CHEMISTRY KIN-YA AKIBA A JOHN WILEY & SONS, INC., PUBLICATION Copyright 2011 by John Wiley & Sons, Inc. All rights reserved. Published by John Wiley & Sons,

More information

Structural Dynamics THEORY AND COMPUTATION

Structural Dynamics THEORY AND COMPUTATION Structural Dynamics THEORY AND COMPUTATION Structural Dynamics THEORY AND COMPUTATION MARIO PAZ Professor of Civil Engineering University of Louisville Third Edition Itim1 VAN NOSTRAND REINHOLD ~ New York

More information

Igor Emri Arkady Voloshin. Statics. Learning from Engineering Examples

Igor Emri Arkady Voloshin. Statics. Learning from Engineering Examples Statics Igor Emri Arkady Voloshin Statics Learning from Engineering Examples Igor Emri University of Ljubljana Ljubljana, Slovenia Arkady Voloshin Lehigh University Bethlehem, PA, USA ISBN 978-1-4939-2100-3

More information

Risk Assessment in Geotechnical Engineering

Risk Assessment in Geotechnical Engineering Risk Assessment in Geotechnical Engineering Risk Assessment in Geotechnical Engineering Gordon A. Fenton and D. V. Griffiths Copyright 2008 John Wiley & Sons, Inc. ISBN: 978-0-470-17820-1 Risk Assessment

More information

INELASTIC SEISMIC DISPLACEMENT RESPONSE PREDICTION OF MDOF SYSTEMS BY EQUIVALENT LINEARIZATION

INELASTIC SEISMIC DISPLACEMENT RESPONSE PREDICTION OF MDOF SYSTEMS BY EQUIVALENT LINEARIZATION INEASTIC SEISMIC DISPACEMENT RESPONSE PREDICTION OF MDOF SYSTEMS BY EQUIVAENT INEARIZATION M. S. Günay 1 and H. Sucuoğlu 1 Research Assistant, Dept. of Civil Engineering, Middle East Technical University,

More information

JWUS_LC-Khoo_Prelims.qxd 1/19/ :32 PM Page i Liquid Crystals

JWUS_LC-Khoo_Prelims.qxd 1/19/ :32 PM Page i Liquid Crystals Liquid Crystals Liquid Crystals Second Edition IAM-CHOON KHOO WILEY-INTERSCIENCE A JOHN WILEY & SONS, INC., PUBLICATION Copyright 2007 by John Wiley & Sons, Inc. All rights reserved. Published by John

More information

Mechanics of Materials

Mechanics of Materials Mechanics of Materials Parviz Ghavami Mechanics of Materials An Introduction to Engineering Technology Parviz Ghavami Harlingen, TX, USA ISBN 978-3-319-07571-6 ISBN 978-3-319-07572-3 (ebook) DOI 10.1007/978-3-319-07572-3

More information

This content has been downloaded from IOPscience. Please scroll down to see the full text.

This content has been downloaded from IOPscience. Please scroll down to see the full text. This content has been downloaded from IOPscience. Please scroll down to see the full text. Download details: IP Address: 46.3.203.124 This content was downloaded on 30/12/2017 at 22:16 Please note that

More information

QUANTUM MECHANICS. For Electrical Engineers. Quantum Mechanics Downloaded from

QUANTUM MECHANICS. For Electrical Engineers. Quantum Mechanics Downloaded from Quantum Mechanics Downloaded from www.worldscientific.com QUANTUM MECHANICS For Electrical Engineers Quantum Mechanics Downloaded from www.worldscientific.com This page intentionally left blank Quantum

More information

ENGINEERING MECHANICS: STATICS AND DYNAMICS

ENGINEERING MECHANICS: STATICS AND DYNAMICS ENGINEERING MECHANICS: STATICS AND DYNAMICS Dr. A.K. Tayal ENGINEERING MECHANICS STATICS AND DYNAMICS A.K. Tayal Ph. D. Formerly Professor Department of Mechanical Engineering Delhi College of Engineering

More information

Static & Dynamic. Analysis of Structures. Edward L.Wilson. University of California, Berkeley. Fourth Edition. Professor Emeritus of Civil Engineering

Static & Dynamic. Analysis of Structures. Edward L.Wilson. University of California, Berkeley. Fourth Edition. Professor Emeritus of Civil Engineering Static & Dynamic Analysis of Structures A Physical Approach With Emphasis on Earthquake Engineering Edward LWilson Professor Emeritus of Civil Engineering University of California, Berkeley Fourth Edition

More information

QUICK SELECTION GUIDE TO CHEMICAL PROTECTIVE CLOTHING

QUICK SELECTION GUIDE TO CHEMICAL PROTECTIVE CLOTHING QUICK SELECTION GUIDE TO CHEMICAL PROTECTIVE CLOTHING QUICK SELECTION GUIDE TO CHEMICAL PROTECTIVE CLOTHING Sixth Edition Krister Forsberg, Lidingo, Stockholm, Sweden Ann Van den Borre, Liedekerke, Brussels,

More information

A First Course in Finite Elements

A First Course in Finite Elements A First Course in Finite Elements A First Course in Finite Elements J. Fish and T. Belytschko # 2007 John Wiley & Sons, Ltd. ISBN: 978-0-470-03580-1 A First Course in Finite Elements Jacob Fish Rensselaer

More information

THERMAL ANALYSIS OF POLYMERS

THERMAL ANALYSIS OF POLYMERS THERMAL ANALYSIS OF POLYMERS THERMAL ANALYSIS OF POLYMERS Fundamentals and Applications EDITED BY JOSEPH D. MENCZEL Alcon Laboratories Fort Worth TX R. BRUCE PRIME San Jose, CA A JOHN WILEY & SONS, INC.,

More information

CLASSICAL MECHANICS. The author

CLASSICAL MECHANICS.  The author CLASSICAL MECHANICS Gregory s Classical Mechanics is a major new textbook for undergraduates in mathematics and physics. It is a thorough, self-contained and highly readable account of a subject many students

More information

Structural Dynamics A Graduate Course in Aerospace Engineering

Structural Dynamics A Graduate Course in Aerospace Engineering Structural Dynamics A Graduate Course in Aerospace Engineering By: H. Ahmadian ahmadian@iust.ac.ir The Science and Art of Structural Dynamics What do all the followings have in common? > A sport-utility

More information

Follow links Class Use and other Permissions. For more information, send to:

Follow links Class Use and other Permissions. For more information, send  to: COPYRIGHT NOTICE: Stephen L. Campbell & Richard Haberman: Introduction to Differential Equations with Dynamical Systems is published by Princeton University Press and copyrighted, 2008, by Princeton University

More information

University of California at Berkeley Structural Engineering Mechanics & Materials Department of Civil & Environmental Engineering Spring 2012 Student name : Doctoral Preliminary Examination in Dynamics

More information

MEC3403. Dynamics II. Introductory book. Faculty of Engineering and Surveying

MEC3403. Dynamics II. Introductory book. Faculty of Engineering and Surveying MEC3403 Dynamics II Faculty of Engineering and Surveying Introductory book Semester 2 2010 Published by University of Southern Queensland Toowoomba Queensland 4350 Australia http://www.usq.edu.au University

More information

FRACTIONAL CALCULUS IN PHYSICS

FRACTIONAL CALCULUS IN PHYSICS APPLICATIONS OF FRACTIONAL CALCULUS IN PHYSICS APPLICATIONS OF FRACTIONAL CALCULUS IN PHYSICS Editor Universitat Mainz and Universitat Stuttgart Germany Vfe World Scientific «Singapore New Jersey London

More information

Physics for Scientists & Engineers with Modern Physics Douglas C. Giancoli Fourth Edition

Physics for Scientists & Engineers with Modern Physics Douglas C. Giancoli Fourth Edition Physics for Scientists & Engineers with Modern Physics Douglas C. Giancoli Fourth Edition Pearson Education Limited Edinburgh Gate Harlow Essex CM20 2JE England and Associated Companies throughout the

More information

Progress in Nonlinear Differential Equations and Their Applications Volume 18

Progress in Nonlinear Differential Equations and Their Applications Volume 18 Progress in Nonlinear Differential Equations and Their Applications Volume 18 Editor Haim Brezis Universite Pierre et Marie Curie Paris and Rutgers University New Brunswick, N.J. Editorial Board A. Bahri,

More information

Chemistry by Computer. An Overview of the Applications of Computers in Chemistry

Chemistry by Computer. An Overview of the Applications of Computers in Chemistry Chemistry by Computer An Overview of the Applications of Computers in Chemistry Chemistry by Computer An Overview of the Applications of Computers in Chemistry Stephen Wilson Theoretical Chemistry Department

More information

VIBRATIONS AND WAVES. George C. King. School of Physics & Astronomy, The University of Manchester, Manchester, UK

VIBRATIONS AND WAVES. George C. King. School of Physics & Astronomy, The University of Manchester, Manchester, UK VIBRATIONS AND WAVES George C. King School of Physics & Astronomy, The University of Manchester, Manchester, UK A John Wiley and Sons, Ltd., Publication Vibrations and Waves The Manchester Physics Series

More information

COUNTING. Solutions Manual. 2nd Edition. Counting Downloaded from by on 02/19/18. For personal use only.

COUNTING. Solutions Manual. 2nd Edition. Counting Downloaded from  by on 02/19/18. For personal use only. COUNTING Solutions Manual 2nd Edition This page intentionally left blank COUNTING Solutions Manual 2nd Edition Koh Khee Meng National University of Singapore, Singapore Tay Eng Guan Nanyang Technological

More information

Dr.Vinod Hosur, Professor, Civil Engg.Dept., Gogte Institute of Technology, Belgaum

Dr.Vinod Hosur, Professor, Civil Engg.Dept., Gogte Institute of Technology, Belgaum STRUCTURAL DYNAMICS Dr.Vinod Hosur, Professor, Civil Engg.Dept., Gogte Institute of Technology, Belgaum Overview of Structural Dynamics Structure Members, joints, strength, stiffness, ductility Structure

More information

IMPORTANT FEATURES OF THE RESPONSE OF INELASTIC STRUCTURES TO NEAR-FIELD GROUND MOTION

IMPORTANT FEATURES OF THE RESPONSE OF INELASTIC STRUCTURES TO NEAR-FIELD GROUND MOTION IMPORTANT FEATURES OF THE RESPONSE OF INELASTIC STRUCTURES TO NEAR-FIELD GROUND MOTION Wilfred D IWAN 1, Ching-Tung HUANG 2 And Andrew C GUYADER 3 SUMMARY Idealized structural models are employed to reveal

More information

COSSERAT THEORIES: SHELLS, RODS AND POINTS

COSSERAT THEORIES: SHELLS, RODS AND POINTS COSSERAT THEORIES: SHELLS, RODS AND POINTS SOLID MECHANICS AND ITS APPLICATIONS Volume 79 Series Editor: G.M.L. GLADWELL Department of Civil Engineering University of Waterloo Waterloo, Ontario, Canada

More information

Mathematica. A Systemjor Doing Mathematics by Computer. Stephen Wolfral1l. ~ C;:tr lju J. ~c~~

Mathematica. A Systemjor Doing Mathematics by Computer. Stephen Wolfral1l. ~ C;:tr lju J. ~c~~ Mathematica A Systemjor Doing Mathematics by Computer Stephen Wolfral1l. ~ ~A_ ~ C;:tr lju J ~c~~ Mathematica was designed and implemented by: Stephen Wolfram, Daniel Grayson, Roman Maeder, _/ Henry Cejtin,

More information

VARIATIONS INTRODUCTION TO THE CALCULUS OF. 3rd Edition. Introduction to the Calculus of Variations Downloaded from

VARIATIONS INTRODUCTION TO THE CALCULUS OF. 3rd Edition. Introduction to the Calculus of Variations Downloaded from INTRODUCTION TO THE CALCULUS OF VARIATIONS 3rd Edition This page intentionally left blank INTRODUCTION TO THE CALCULUS OF VARIATIONS 3rd Edition Bernard Dacorogna Ecole Polytechnique Fédérale Lausanne,

More information

Linear Statistical Models

Linear Statistical Models Linear Statistical Models JAMES H. STAPLETON Michigan State University A Wiley-Interscience Publication JOHN WILEY & SONS, INC. New York 0 Chichester 0 Brisbane 0 Toronto 0 Singapore This Page Intentionally

More information

Single-Degree-of-Freedom (SDOF) and Response Spectrum

Single-Degree-of-Freedom (SDOF) and Response Spectrum Single-Degree-of-Freedom (SDOF) and Response Spectrum Ahmed Elgamal 1 Dynamics of a Simple Structure The Single-Degree-Of-Freedom (SDOF) Equation References Dynamics of Structures, Anil K. Chopra, Prentice

More information

Table of Contents. Preface... 13

Table of Contents. Preface... 13 Table of Contents Preface... 13 Chapter 1. Vibrations of Continuous Elastic Solid Media... 17 1.1. Objective of the chapter... 17 1.2. Equations of motion and boundary conditions of continuous media...

More information

Theory of Nonlinear Structural Analysis

Theory of Nonlinear Structural Analysis RED BOX RULES ARE FOR PROOF STAGE ONLY. DELETE BEFORE FINAL PRINTING. Theory of Nonlinear Structural Analysis Gang Li, Dalian University of Technology, China Kevin K.F. Wong, Ph.D., University of California

More information

1. Multiple Degree-of-Freedom (MDOF) Systems: Introduction

1. Multiple Degree-of-Freedom (MDOF) Systems: Introduction 1. Multiple Degree-of-Freedom (MDOF) Systems: Introduction Lesson Objectives: 1) List examples of MDOF structural systems and state assumptions of the idealizations. 2) Formulate the equation of motion

More information

Statics and Mechanics of Structures

Statics and Mechanics of Structures Statics and Mechanics of Structures Steen Krenk Jan Høgsberg Statics and Mechanics of Structures Prof. Steen Krenk Department of Mechanical Engineering Technical University of Denmark Kongens Lyngby,

More information

Nuclear Chemistry. Principles of. Principles of Nuclear Chemistry Downloaded from

Nuclear Chemistry. Principles of. Principles of Nuclear Chemistry Downloaded from Principles of Nuclear Chemistry Essential Textbooks in Chemistry ISBN: 2059-7738 Orbitals: With Applications in Atomic Spectra by Charles Stuart McCaw Principles of Nuclear Chemistry by Peter A C McPherson

More information

Civil Engineering. Structural Analysis. Comprehensive Theory with Solved Examples and Practice Questions. Publications

Civil Engineering. Structural Analysis. Comprehensive Theory with Solved Examples and Practice Questions. Publications Civil Engineering Structural Analysis Comprehensive Theory with Solved Examples and Practice Questions Publications Publications MADE EASY Publications Corporate Office: 44-A/4, Kalu Sarai (Near Hauz Khas

More information

Reliability Evaluation of Engineering Systems:

Reliability Evaluation of Engineering Systems: Reliability Evaluation of Engineering Systems: Concepts and Techniques Roy Billinton PhD, DSc, FEIC, FRSC, FIEEE, PE c. J. MacKenzie Professor of Electrical Engineering University of Saskatchewan and Ronald

More information

Partial Differential Equations with MATLAB

Partial Differential Equations with MATLAB CHAPMAN & HALL/CRC APPLIED MATHEMATICS AND NONLINEAR SCIENCE SERIES An Introduction to Partial Differential Equations with MATLAB Second Edition Matthew P. Coleman CHAPMAN & HALL/CRC APPLIED MATHEMATICS

More information

SYLLABUS FORM WESTCHESTER COMMUNITY COLLEGE Valhalla, NY lo595. l. Course #: PHYSC NAME OF ORIGINATOR /REVISOR: ALENA O CONNOR

SYLLABUS FORM WESTCHESTER COMMUNITY COLLEGE Valhalla, NY lo595. l. Course #: PHYSC NAME OF ORIGINATOR /REVISOR: ALENA O CONNOR SYLLABUS FORM WESTCHESTER COMMUNITY COLLEGE Valhalla, NY lo595 l. Course #: PHYSC 121 2. NAME OF ORIGINATOR /REVISOR: ALENA O CONNOR NAME OF COURSE ENGINEERING PHYSICS 1 WITH LAB 3. CURRENT DATE: SUMMER

More information

HOW TO FIND CHEMICAL INFORMATION

HOW TO FIND CHEMICAL INFORMATION HOW TO FIND CHEMICAL INFORMATION HOW TO FIND CHEMICAL INFORMATION. A Guide for Practicing Chemists, Educators, and Students THIRD EDITION Robert E. Maizell Director, Technology Information Science Park

More information

PeopleSoft 8.8 Global Payroll Reports

PeopleSoft 8.8 Global Payroll Reports PeopleSoft 8.8 Global Payroll Reports December 2002 PeopleSoft 8.8 Global Payroll Reports SKU HRMS88GPY-R 1202 PeopleBooks Contributors: Teams from PeopleSoft Product Documentation and Development. Copyright

More information

ArcGIS 9 ArcGIS StreetMap Tutorial

ArcGIS 9 ArcGIS StreetMap Tutorial ArcGIS 9 ArcGIS StreetMap Tutorial Copyright 2001 2008 ESRI All Rights Reserved. Printed in the United States of America. The information contained in this document is the exclusive property of ESRI. This

More information

Instructor s Resource Manual EIGHTH EDITION. and. A First Course in Differential Eqautions TENTH EDITION. Dennis Zill. Warren S. Wright.

Instructor s Resource Manual EIGHTH EDITION. and. A First Course in Differential Eqautions TENTH EDITION. Dennis Zill. Warren S. Wright. Instructor s Resource Manual Differential Equations with Boundary Value Problems EIGHTH EDITION and A First Course in Differential Eqautions TENTH EDITION Dennis Zill Warren S. Wright Prepared by Warren

More information

COPYRIGHTED MATERIAL. Index

COPYRIGHTED MATERIAL. Index Index A Admissible function, 163 Amplification factor, 36 Amplitude, 1, 22 Amplitude-modulated carrier, 630 Amplitude ratio, 36 Antinodes, 612 Approximate analytical methods, 647 Assumed modes method,

More information