# Structural Vibration Analysis and Damping

Structural Vibration Analysis and Damping

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. 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 numb er 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.

Chris Beards

August 199.

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