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  • 8/18/2019 Research Methods in Biomechanics

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    See discussions, stats, and author profiles for this publication at: https://www.researchgate.net/publication/258034032

    Research Methods in Biomechanics: Secondedition (eBook)

    BOOK · NOVEMBER 2013

    READS

    5,116

    5 AUTHORS, INCLUDING:

    Douglas Gordon Robertson

    University of Ottawa

    145 PUBLICATIONS  733 CITATIONS 

    SEE PROFILE

    Joseph Hamill

    University of Massachusetts Amherst

    325 PUBLICATIONS  6,401 CITATIONS 

    SEE PROFILE

    Available f rom: Douglas Gordon Robertson

    Retrieved on: 29 March 2016

    https://www.researchgate.net/profile/Douglas_Robertson6?enrichId=rgreq-67239600-073c-435c-a1ea-9a76b1667a1c&enrichSource=Y292ZXJQYWdlOzI1ODAzNDAzMjtBUzoxMDI2MzA2NTUyNjY4MjZAMTQwMTQ4MDQ2MzcyMA%3D%3D&el=1_x_4https://www.researchgate.net/profile/Douglas_Robertson6?enrichId=rgreq-67239600-073c-435c-a1ea-9a76b1667a1c&enrichSource=Y292ZXJQYWdlOzI1ODAzNDAzMjtBUzoxMDI2MzA2NTUyNjY4MjZAMTQwMTQ4MDQ2MzcyMA%3D%3D&el=1_x_5https://www.researchgate.net/profile/Joseph_Hamill?enrichId=rgreq-67239600-073c-435c-a1ea-9a76b1667a1c&enrichSource=Y292ZXJQYWdlOzI1ODAzNDAzMjtBUzoxMDI2MzA2NTUyNjY4MjZAMTQwMTQ4MDQ2MzcyMA%3D%3D&el=1_x_5https://www.researchgate.net/?enrichId=rgreq-67239600-073c-435c-a1ea-9a76b1667a1c&enrichSource=Y292ZXJQYWdlOzI1ODAzNDAzMjtBUzoxMDI2MzA2NTUyNjY4MjZAMTQwMTQ4MDQ2MzcyMA%3D%3D&el=1_x_1https://www.researchgate.net/profile/Joseph_Hamill?enrichId=rgreq-67239600-073c-435c-a1ea-9a76b1667a1c&enrichSource=Y292ZXJQYWdlOzI1ODAzNDAzMjtBUzoxMDI2MzA2NTUyNjY4MjZAMTQwMTQ4MDQ2MzcyMA%3D%3D&el=1_x_7https://www.researchgate.net/institution/University_of_Massachusetts_Amherst2?enrichId=rgreq-67239600-073c-435c-a1ea-9a76b1667a1c&enrichSource=Y292ZXJQYWdlOzI1ODAzNDAzMjtBUzoxMDI2MzA2NTUyNjY4MjZAMTQwMTQ4MDQ2MzcyMA%3D%3D&el=1_x_6https://www.researchgate.net/profile/Joseph_Hamill?enrichId=rgreq-67239600-073c-435c-a1ea-9a76b1667a1c&enrichSource=Y292ZXJQYWdlOzI1ODAzNDAzMjtBUzoxMDI2MzA2NTUyNjY4MjZAMTQwMTQ4MDQ2MzcyMA%3D%3D&el=1_x_5https://www.researchgate.net/profile/Joseph_Hamill?enrichId=rgreq-67239600-073c-435c-a1ea-9a76b1667a1c&enrichSource=Y292ZXJQYWdlOzI1ODAzNDAzMjtBUzoxMDI2MzA2NTUyNjY4MjZAMTQwMTQ4MDQ2MzcyMA%3D%3D&el=1_x_4https://www.researchgate.net/profile/Douglas_Robertson6?enrichId=rgreq-67239600-073c-435c-a1ea-9a76b1667a1c&enrichSource=Y292ZXJQYWdlOzI1ODAzNDAzMjtBUzoxMDI2MzA2NTUyNjY4MjZAMTQwMTQ4MDQ2MzcyMA%3D%3D&el=1_x_7https://www.researchgate.net/institution/University_of_Ottawa?enrichId=rgreq-67239600-073c-435c-a1ea-9a76b1667a1c&enrichSource=Y292ZXJQYWdlOzI1ODAzNDAzMjtBUzoxMDI2MzA2NTUyNjY4MjZAMTQwMTQ4MDQ2MzcyMA%3D%3D&el=1_x_6https://www.researchgate.net/profile/Douglas_Robertson6?enrichId=rgreq-67239600-073c-435c-a1ea-9a76b1667a1c&enrichSource=Y292ZXJQYWdlOzI1ODAzNDAzMjtBUzoxMDI2MzA2NTUyNjY4MjZAMTQwMTQ4MDQ2MzcyMA%3D%3D&el=1_x_5https://www.researchgate.net/profile/Douglas_Robertson6?enrichId=rgreq-67239600-073c-435c-a1ea-9a76b1667a1c&enrichSource=Y292ZXJQYWdlOzI1ODAzNDAzMjtBUzoxMDI2MzA2NTUyNjY4MjZAMTQwMTQ4MDQ2MzcyMA%3D%3D&el=1_x_4https://www.researchgate.net/?enrichId=rgreq-67239600-073c-435c-a1ea-9a76b1667a1c&enrichSource=Y292ZXJQYWdlOzI1ODAzNDAzMjtBUzoxMDI2MzA2NTUyNjY4MjZAMTQwMTQ4MDQ2MzcyMA%3D%3D&el=1_x_1https://www.researchgate.net/publication/258034032_Research_Methods_in_Biomechanics_Second_edition_eBook?enrichId=rgreq-67239600-073c-435c-a1ea-9a76b1667a1c&enrichSource=Y292ZXJQYWdlOzI1ODAzNDAzMjtBUzoxMDI2MzA2NTUyNjY4MjZAMTQwMTQ4MDQ2MzcyMA%3D%3D&el=1_x_3https://www.researchgate.net/publication/258034032_Research_Methods_in_Biomechanics_Second_edition_eBook?enrichId=rgreq-67239600-073c-435c-a1ea-9a76b1667a1c&enrichSource=Y292ZXJQYWdlOzI1ODAzNDAzMjtBUzoxMDI2MzA2NTUyNjY4MjZAMTQwMTQ4MDQ2MzcyMA%3D%3D&el=1_x_2

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    Research

    Methods in

    Biomechanics

    SECOND EDITION

    HUMAN KINETICS

    D. GORDON E. ROBERTSON

    University of Ottawa

    GRAHAM E. CALDWELL

    University of Massachusetts, Amherst

    JOSEPH HAMILL

    University of Massachusetts, Amherst

    GARY KAMEN

    University of Massachusetts, Amherst

    SAUNDERS N. WHITTLESEY

    University of Massachusetts, Amherst

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    Library of Congress Cataloging-in-Publication Data

    Robertson, D. Gordon E., 1950- author.

      Research methods in biomechanics / D. Gordon E. Robertson, Graham E. Caldwell, Joseph Hamill, Gary Kamen, Saunders N.

    Whittlesey. -- 2nd edition.

      p. ; cm.

      Includes bibliographical references and index.

      I. Caldwell, Graham E., 1954- author. II. Hamill, Joseph, 1946- author. III. Kamen, Gary, author. IV. Whittlesey, Saunders N.,author. V. Title.

      [DNLM: 1. Biomechanics. 2. Research Design. WE 103]

      QP303

      612.7’6072--dc23

      2013017879

    ISBN-10: 0-7360-9340-0 (print)

    ISBN-13: 978-0-7360-9340-8 (print)

    Copyright © 2014, 2004 

    by D. Gordon E. Robertson, Graham E. Caldwell, Joseph Hamill, Gary Kamen, and Saunders N. Whittlesey

    All rights reserved.\dblspace\Except for use in a review, the reproduction or utilization of this work in any form or by any elec-

    tronic, mechanical, or other means, now known or hereafter invented, including xerography, photocopying, and recording, and in

    any information storage and retrieval system, is forbidden without the written permission of the publisher.

    The web addresses cited in this text were current as of May 1, 2013 , unless otherwise noted.

    Acquisitions Editors: Loarn D. Robertson, PhD, and Amy N. Tocco; Developmental Editor: Katherine Maurer; Assistant Edi-

    tors: Susan Huls, Casey A. Gentis, and Elizabeth Evans; Copyeditor: Julie Anderson; Indexer: ?????? ????????; Permissions

    Manager: Dalene Reeder; Graphic Designer: Joe Buck; Graphic Artist: Denise Lowry; Cover Designer: Keith Blomberg;

    Cover Image: Courtesy of C-Motion, Inc.; Photographs (interior): Courtesy of the authors; Photo Asset Manager: Laura

    Fitch; Photo Production Manager: Jason Allen; Art Manager: Kelly Hendren; Associate Art Manager: Alan L. Wilborn; Art

    Style Development: Joanne Brummett; Illustrations: © Human Kinetics, unless otherwise noted; Printer: Edwards Brothers

    Malloy

    Printed in the United States of America 10 9 8 7 6 5 4 3 2 1

    The paper in this book is certified under a sustainable forestry program.

    Human KineticsWebsite: www.HumanKinetics.com

    United States: Human Kinetics, P.O. Box 5076, Champaign, IL 61825-5076

    800-747-4457

    e-mail: [email protected]

    Canada: Human Kinetics, 475 Devonshire Road Unit 100, Windsor, ON N8Y 2L5

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    DEDICATION

    To our current and former students.

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     v

    Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Introduction Biomechanics Analysis Techniques: A Primer . . . . . . . . . . . .X Gary Kamen

    What Tools Are Needed in Biomechanics? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

     Applications of the Principles of Biomechanics: An Example . . . . . . . . . . . . . . . . XX

    Numerical Accuracy and Significant Digits. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    Summary. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    PART I KINEMATICS XX

    Chapter 1  Planar Kinematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XX   D. Gordon E. Robertson and Graham E. Caldwell 

    Description of Position . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    Degrees of Freedom . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    Kinematic Data Collection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    Linear Kinematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

     Angular Kinematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    Summary. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    Suggested Readings

    Chapter 2  Three-Dimensional Kinematics . . . . . . . . . . . . . . . . . . . . . .XX   Joseph Hamill, W. Scott Selbie, and Thomas M. Kepple

    Collection of Three-Dimensional Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    Coordinate Systems and Assumption of Rigid Segments . . . . . . . . . . . . . . . . . . XX

    Transformations between Coordinate Systems . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    Defining the Segment LCS for the Lower Extremity . . . . . . . . . . . . . . . . . . . . . . XX

    Pose Estimation: Tracking the Segment LCS. . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    Joint Angles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    Joint Angular Velocity and Angular Acceleration of Cardan Joint Angles. . . . . . . XX

    Summary. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXSuggested Readings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    Contents

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     vi  }  Contents

    PART II KINETICS XX

    Chapter 3  Body Segment Parameters . . . . . . . . . . . . . . . . . . . . . . . . .XX   D. Gordon E. Robertson

    Methods for Measuring and Estimating Body Segment Parameters . . . . . . . . . . XXTwo-Dimensional (Planar) Computational Methods . . . . . . . . . . . . . . . . . . . . . . . XX

    Three-Dimensional (Spatial) Computational Methods . . . . . . . . . . . . . . . . . . . . . XX

    Summary. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    Suggested Readings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    Chapter 4  Forces and Their Measurement . . . . . . . . . . . . . . . . . . . . . .XX  Graham E. Caldwell, D. Gordon E. Robertson, and Saunders N. Whittlesey

    Force. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    Newton’s Laws . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    Free-Body Diagrams . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXTypes of Forces. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    Moment of Force, or Torque . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    Linear Impulse and Momentum . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

     Angular Impulse and Momentum . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    Measurement of Force . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    Summary. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    Suggested Readings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    Chapter 5  Two-Dimensional Inverse Dynamics . . . . . . . . . . . . . . . . . .XX Saunders N. Whittlesey and D. Gordon E. Robertson

    Planar Motion Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    Numerical Formulation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    Human Joint Kinetics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

     Applications. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    Summary. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    Suggested Readings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    Chapter 6  Energy, Work, and Power. . . . . . . . . . . . . . . . . . . . . . . . . XXX   D. Gordon E. Robertson

    Energy, Work, and the Laws of Thermodynamics . . . . . . . . . . . . . . . . . . . . . . . . XX

    Conservation of Mechanical Energy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    Ergometry: Direct Methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    Ergometry: Indirect Methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    Mechanical Efficiency . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    Summary. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XX

    Suggested Readings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

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    Contents |  vi

    Chapter 7  Three-Dimensional Kinetics . . . . . . . . . . . . . . . . . . . . . . . XXX  W. Scott Selbie, Joseph Hamill, and Thomas Kepple

    Segments and Link Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    3-D Inverse Dynamics Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Presentation of the Net Moment Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXXJoint Power . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Interpretation of Net Joint Moments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Sources of Error in Three-Dimensional Calculations . . . . . . . . . . . . . . . . . . . . . XXX

    Summary. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Suggested Readings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    PART III MUSCLES, MODELS, AND MOVEMENT XXX

    Chapter 8  Electromyographic Kinesiology . . . . . . . . . . . . . . . . . . . . XXX Gary Kamen

    Physiology of the Electromyographic Signal . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Recording and Acquir ing the Electromyographic Signal. . . . . . . . . . . . . . . . . . . XXX

     Analyzing and Interpreting the Electromyographic Signal . . . . . . . . . . . . . . . . . . XXX

     Applications for Electromyographic Techniques . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Summary. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Suggested Readings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Chapter 9  Muscle ModelingGraham E. Caldwell 

    The Hill Muscle Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Muscle-Specific Hill Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Beyond the Hill Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Summary. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Suggested Readings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Chapter 10 Computer Simulation of Human Movement . . . . . . . . . . . XXX Saunders N. Whittlesey and Joseph Hamill 

    Overview: Modeling As a Process . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Why Simulate Human Movement?. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    General Procedure for Simulations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Control Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Limitations of Computer Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Summary. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Suggested Readings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

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     viii }  Contents viii }  Contents

    Chapter 11  Musculoskeletal Modeling . . . . . . . . . . . . . . . . . . . . . . . . XXX   Brian R. Umberger & Graham E. Caldwell 

    Musculoskeletal Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Control Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

     Analysis Techniques . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXXSummary. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Suggested Readings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    PART IV FURTHER ANALYTICAL PROCEDURES XXX

    Chapter 12 Signal Processing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX  Timothy R. Derrick and D. Gordon E. Robertson

    Characteristics of a Signal. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Fourier Transform . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Time-Dependent Fourier Transform . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Sampling Theorem. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Ensuring Circular Continuity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Smoothing Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Summary. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Suggested Readings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Chapter 13 Dynamical Systems Analysis of Coordination . . . . . . . . . XXX  Richard E.A. van Emmerik, Ross H. Miller, and Joseph Hamill 

    Movement Coordination . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Foundations for Coordination Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Quantifying Coordination: Relative Phase Methods. . . . . . . . . . . . . . . . . . . . . . XXX

    Quantifying Coordination: Vector Coding . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Overview of Coordination Analysis Techniques. . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Summary. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Suggested Readings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Chapter 14 Analysis of Biomechanical Waveform Data . . . . . . . . . . . XXX  Kevin J. Deluzio, Andrew J. Harrison, Norma Coffey, and Graham E. Caldwell 

    Biomechanical Waveform Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Principal Component Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Functional Data Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Comparison of PCA and FDA . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Summary. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Suggested Readings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

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    Contents | ixContents | ix

     Appendix A: International System of Units (System International, SI) . . . . . . . . . . . . . . XXX

     Appendix B: Selected Factors for Converting Between Units of Measure . . . . . . . . . . XXX

     Appendix C: Basic Electronics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

     Appendix D: Vectors and Scalars . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

     Appendix E: Matrices and Matrix Operations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

     Appendix F: Numerical Integration of Double Pendulum Equations . . . . . . . . . . . . . . . . XXX

     Appendix G: Derivation of Double Pendulum Equations . . . . . . . . . . . . . . . . . . . . . . . . XXX

     Appendix H: Discrete Fourier Transform Subroutine . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

     Appendix I: Shannon’s Reconstruction Subroutine . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Example Answers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    Glossary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

    References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXXIndex . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

     About the Authors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XXX

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     x

    Biomechanics is a highly technical eld, and its

    research methods change as rapidly as does

    technology. Research techniques are regularly

    replaced with new techniques because of the avail-

    ability of faster and more sophisticated software and

    hardware. For example, 25 years ago many researchers

    used cinematography to record human motion; 10 years

    later cinematography was almost obsolete, having been

    replaced by VHS videography; and now, digital and

    infrared videography have become the preferred motion

    capture technologies. Faster computers with essentially

    unlimited memory can process data using more complex

    analyses and more sophisticated statistical methods.Given these realities, this edition has added up-to-date

    research methods to existing chapters and includes sev-

    eral new chapters that outline advanced analytical tools

    for investigating human movement.

    This text is organized into four parts. Parts I and II

    retain their structure from the rst edition, with part I

    exploring planar and three-dimensional kinematics in

    research and part II examining issues of body segment

     parameters, forces, and energy, work, and power as they

    relate to two- and three-dimensional inverse dynamics

    analysis. Within the rst two parts, chapters 2 and 7

    have been extensively revised to reect current research

     practices in biomechanics. Chapter 7 now reects how

    inverse dynamics analyses are carried out by the

    software Visual3D, which is an example of software

    that provides inverse dynamics analysis. A Visual3D

    Educational Edition is provided with this book pur-

    chase, so that the reader can experience the process

    of kinematic and kinetic analysis of human motion

    using Visual3D.

    Part III of the text deals with the study of muscle

    activity and the mathematical modeling of human

    movement. Chapter 9, Muscle Modeling , has been

    updated and is bolstered by the addition of chapter

    11, Musculoskeletal Modeling . Chapter 9 retains itsemphasis on the Hill model and now includes more

    information on how to obtain parameters to allow

    the Hill model to represent individual muscles in

    a subject-specic manner. We have removed some

    of the musculoskeletal model material from the

    original chapter and include it in the new chapter

    11, which is coauthored by Brian R. Umberger and

    Graham E. Caldwell. Chapter 11 explores the use

    of musculoskeletal models in analyzing human

    Preface

    movement, an area of growing interest that permits

    the study of muscle forces beyond that allowed by

    inverse dynamics. Other chapters in part III address

    electromyographic (EMG) kinesiology and computer

    simulation of movement. EMG permits the monitoring

    and analysis of the active contractile characteristics of

    muscles, whereas computer simulations permit the study

    of motions without requiring that a subject perform the

    motion, which allows researchers, physicians, therapists,

    or coaches to test novel motions without placing people

    at risk of injury.

    Part IV explores further analytical procedures that

    can be applied to biomechanical data, beginning withsignal processing techniques and then moving on to

    two chapters new to the second edition. Chapter 13,

     Dynamical Systems Methods for the Analysis of Move-

    ment Coordination, coauthored by Richard E.A. van

    Emmerik, Ross H. Miller, and Joseph Hamill, outlines

    the theories and analytic methods used to investigate

    movement in complex systems with many degrees of

    freedom. This chapter focuses on how we assess and

    measure coordination and stability in changing move-

    ment patterns, and it examines the role of movement

    variability in health and disease. Chapter 14,  Analysis

    of Biomechanical Waveform Data, coauthored by Kevin

    J. Deluzio, Andrew J. Harrison, Norma Coffey, and

    VISUAL3D EDUCATIONAL EDITIONNew to this edition is the access to the Visual3D Edu-cational Edition software, created by C-Motion. TheVisual3D Educational Edition can be used to displayC3D and CMO data sets, but also provides the ability tomanipulate sample data sets to help readers understandkinetic and kinematic calculations and to provide experi-ence with professional biomechanical research software.

    To download the Visual3D Educational Edition, visit http://textbooks.c-motion.com and enter this user name andpassword:

    User name: n

    Password: n

    For support, contact \qq Contact email for c-motionsupport to come xqq\ 

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     xii  }  Preface

    Graham E. Caldwell, outlines statistical tools to identify

    the essential characteristics of any human movement.

    Biomechanists are faced with the sometimes daunting

    task of determining which variable or variables from

    thousands of possibilities (linear and angular kinematics,

    linear and angular kinetics) best characterize a particular

    motion. Techniques in this chapter can be used to selectthe best combination of these factors. Human gait is

    used as one example of motion, but the techniques can

     be applied to any motion.

    Each chapter includes an overview, a summary, and a

    list of suggested readings for those interested in learning

    more. In select chapters, sample problems are provided

    to serve as learning aids, and answers are provided in

    the back of the text. Sections titled From the Scientic

    Literature highlight the ways in which biomechanical

    research techniques have been used in both classic andcutting-edge studies in the eld. The appendixes provide

    helpful mathematical and technical references, and a

    glossary provides a reference for terminology.