Structural Vibration Analysis and Damping by C. E Beards
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Structural Vibration Analysis and Damping by C. E Beards


The analysis of structural vibration is necessary in order to calculate the natural frequencies of a structure, and the response to the expected excitation. In this way it can be determined whether a particular structure will fulfil its intended function and, in addition, the results of the dynamic loadings acting on a structure can be predicted, such as the dynamic stresses, fatigue life and noise levels. Hence the integrity and usefulness of a structure can be maximized and maintained.

From the analysis it can be seen which structural parameters most affect the dynamic response so that if an improvement or change in the response is required, the structure can be modified in the most economic and appropriate way. Very often the dynamic response can only be effectively controlled by changing the damping in the structure. There are many sources of damping in structures to consider and the ways of changing the damping using both active and passive methods require an understanding of their mechanism and control. For this reason a major part of the book is devoted to the damping of structural vibrations. Structural Vibration: Analysis and Damping benefits from my earlier book Structural Vibration Analysis:

Modelling, Analysis and Damping of Vibrating Structures which was published in 1983 but is now out of print. This enhanced successor is far more comprehensive with more analytical discussion, further consideration of damping sources and a greater range of examples and problems. The mathematical modelling and vibration analysis of structures are discussed in some detail, together with the relevant theory. It also provides an introduction to some of the excellent advanced specialized texts that are available on the vibration of dynamic systems. In addition, it describes how structural parameters can be changed to achieve the desired dynamic performance and, most importantly, the mechanisms and methods for controlling structural damping.

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It is intended to give engineers, designers and students of engineering to first degree level a thorough understanding of the principles involved in the analysis of structural vibration and to provide a sound theoretical basis for further study. There is a large number of worked examples throughout the text, to amplify and clarify the theoretical analyses presented, and the meaning and interpretation of the results obtained are fully discussed. A comprehensive range of problems has been included, together with many worked solutions which considerably enhance the range, scope and usefulness of the book.


Some of the problems first appeared in University of London B.Sc. (Eng) Degree Examinations, set for students of Imperial College, London. The section on random vibration has been reproduced with permission from the Mechanical Engineers Reference Book, 12th edn (Butterworth-Heinemann, 1993).

If a structure is built for a man and the builder does not make its design and construction meet the requirements and it collapses in whole or in part, then the builder shall strengthen and restore the structure at his own expense. If other property is damaged or destroyed by the collapse then the builder shall restore that also at his own expense. If the collapse causes loss of life then the builder shall be put to death.

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