283 Pages 159 B/W Illustrations
    by CRC Press

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    Dynamics is increasingly being identified by consulting engineers as one of the key skills which needs to be taught in civil engineering degree programs. This is driven by the trend towards lighter, more vibration-prone structures, the growth of business in earthquake regions, the identification of new threats such as terrorist attack and the increased availability of sophisticated dynamic analysis tools.

    Martin Williams presents this short, accessible introduction to the area of structural dynamics. He begins by describing dynamic systems and their representation for analytical purposes. The two main chapters deal with linear analysis of single (SDOF) and multi-degree-of-freedom (MDOF) systems, under free vibration and in response to a variety of forcing functions. Hand analysis of continuous systems is covered briefly to illustrate the key principles. Methods of calculation of non-linear dynamic response is also discussed. Lastly, the key principles of random vibration analysis are presented – this approach is crucial for wind engineering and is increasingly important for other load cases.

    An appendix briefly summarizes relevant mathematical techniques. Extensive use is made of worked examples, mostly drawn from civil engineering (though not exclusively – there is considerable benefit to be gained from emphasizing the commonality with other branches of engineering). This introductory dynamics textbook is aimed at upper level civil engineering undergraduates and those starting an M.Sc. course in the area.

    Introduction to Dynamic Systems
    What Is Dynamics and Why Is It Important?
    Basic Definitions
    Describing Oscillatory Motion
    Dynamic Properties of Physical Systems
    Dynamic Loads
    Key Points
    Tutorial Problems

    Single-Degree-Of-Freedom Systems
    Equation of Motion
    Free Vibration
    Response to Dynamic Loads
    Transfer Functions and Block Diagrams
    Key Points
    Tutorial Problems

    Multi-Degree-Of-Freedom Systems
    Equations of Motion
    Free Vibration of MDOF Systems
    Vibration Analysis of DOF Systems
    Response of MDOF Systems to Dynamic Loads
    Key Points
    Tutorial Problems

    Continuous Systems
    Vibrations of Beams
    Equivalent Single-Degree-Of-Freedom Systems
    Key Points
    Tutorial Problems

    Non-Linear Dynamics
    Non-Linearity in Structural Properties
    Time-Stepping Algorithms
    Approximate Treatment of Non-Linearity
    Key Points
    Tutorial Problems

    Fourier Analysis and Random Vibrations
    Properties of Random Variables and Processes
    Fourier Analysis
    Power Spectral Density
    Impulse Response and Transfer Function
    Key Points
    Tutorial Problems


    Background Mathematics

    Further Reading


    Martin Williams is a professor in the engineering department at the University of Oxford. His research interests cover a wide range of structural dynamics problems, including earthquake engineering, hybrid test methods, dynamics of historic masonry structures and suspension bridge dynamics.

    "Martin Williams has come up with a novel way of presenting the theory and underlying principles of structural dynamics. Mathematical derivations are kept as simple as possible and are fully supported with a wealth of self-explanatory problems and solutions. This is an essential read for undergraduate and graduate students of civil engineering."
    —Dr. Theodore Karavasilis, University of Warwick, UK

    "This book provides students with an in-depth knowledge of structural dynamics without boring them! Each chapter sets out clearly the learning objectives and the theory is illustrated with many clear and diverse examples. The commentaries are interesting to read and provide further insight into the topics covered."
    —Professor Tiziana Rossetto, University College London

    "I have no doubt that the book will be of use not only to advanced university level students but also to practitioners (including myself!) tackling engineering problems in the realms of structural dynamics, who will use the book not only to refresh and confirm their memory and understanding of this complex subject, but also to stretch them into a few corners of it that they might not have previously considered."
    —Edmund Booth, Consulting Engineer, UK

    " … I feel that this book gives [a] clear explanation of the fundamental principles and theory, which is achieved from the author’s many years of teaching and research on structural dynamics."
    —Tianjian Ji, University of Manchester, UK

    "I really appreciated the clear and simple way arguments are introduced, which is crucial for undergraduate students who are not acquainted with structural dynamics and face the topic for the first time."
    —Giuseppe Abbiati, ETH Zurich

    " … this book provides an excellent introduction using a simple yet rigorous approach."
    —Andrei M Reinhorn, University at Buffalo, New York

    "Martin (engineering, Univ. of Oxford, UK) has published extensively on earthquake engineering and structural dynamics. In this succinct volume, he describes the fundamentals of structural dynamics. All the basics are covered: single-degree-of-freedom and multiple-degree-of-freedom systems, various damping models, continuous systems, nonlinear systems, numeric solution methods, and Fourier analysis. Short appendixes are provided to make students aware of the mathematics necessary for structural dynamics, covering topics such as differential equations, the Laplace transform, and eigenvectors and eigenvalues. Compared to other texts on the topic, this book foregoes many advanced topics, such as static condensation, earthquake codes, and finite element analysis. The book presents an intriguing option for a student textbook, as the fundamental concepts of structural analysis are
    presented in a straightforward manner at a third of the price of more traditional texts. As a library volume, it lacks the detail of the other texts but could be useful for students, practitioners, and researchers looking to brush up on the basic theories of structural dynamics."
    CHOICE, December 2016