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Structural Dynamics (Paperback, 3rd Edition)
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Structural Dynamics (Paperback, 3rd Edition)
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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.
Table of Contents
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
Introduction
Equation of Motion
Free Vibration
Response to Dynamic Loads
Transfer Functions and Block Diagrams
Key Points
Tutorial Problems
Multi-Degree-Of-Freedom Systems
Introduction
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
Introduction
Vibrations of Beams
Equivalent Single-Degree-Of-Freedom Systems
Key Points
Tutorial Problems
Non-Linear Dynamics
Introduction
Non-Linearity in Structural Properties
Time-Stepping Algorithms
Approximate Treatment of Non-Linearity
Key Points
Tutorial Problems
Fourier Analysis and Random Vibrations
Introduction
Properties of Random Variables and Processes
Autocorrelation
Fourier Analysis
Power Spectral Density
Impulse Response and Transfer Function
Key Points
Tutorial Problems
Appendices
Background Mathematics
Further Reading
General
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