By Christopher C. Fuller, S. J. Elliott, P. A. Nelson
This ebook is a spouse textual content to energetic regulate of Sound by means of P.A. Nelson and S.J. Elliott, additionally released by means of educational Press.
It summarizes the foundations underlying energetic vibration keep an eye on and its useful functions by means of combining fabric from vibrations, mechanics, sign processing, acoustics, and keep watch over conception. The emphasis of the publication is at the energetic keep watch over of waves in constructions, the lively isolation of vibrations, using allotted pressure actuators and sensors, and the energetic keep an eye on of structurally radiated sound. The feedforward regulate of deterministic disturbances, the energetic keep an eye on of structural waves and the energetic isolation of vibrations are lined intimately, in addition to the extra traditional paintings on modal suggestions. the rules of the transducers used as actuateors and sensors for such keep watch over techniques also are given an in-depth description.
The reader will locate relatively fascinating the 2 chapters at the energetic keep an eye on of sound radiation from buildings: lively structural acoustic regulate. the cause of controlling excessive frequency vibration is usually to avoid sound radiation, and the rules and sensible software of such thoughts are awarded the following for either plates and cylinders. the quantity is written in textbook type and is geared toward scholars, practising engineers, and researchers.
* Combines fabric from vibrations, sign processing, mechanics, and controls
* Summarizes new examine within the box
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Example text
Waves whose phase speed are constant with frequency are termed non-dispersive while those whose phase speed varies with frequency are called dispersive. This characteristic is important as it affects a number of important parameters such as the rate of propagation of energy and the variation of the 'shape' of the disturbances propagating in structural systems. A pulse can be decomposed using Fourier analysis into many wave components at different frequencies (Nelson and Elliott, 1992). If the wave speed of the medium changes with frequency then components of the pulse will travel at different speeds and the pulse shape will change with increasing time (and thus location).
7) INTRODUCTION TO WAVES IN STRUCTURES 27 where the variable k is known as the wavenumber and is defined as o) k = --. 7). Positive propagation can be seen to be determined by that part of the wave solution where the variables kx and cot have a negative relative sign, while a positive relative sign indicates negative propagation. 7) for a fixed time t, it is apparent that wavenumber determines the spatial variation in phase. Different forms of waves can exist in structures. The waveform shown in Fig.
In this case displacement also occurs in the transverse direction to the wave motion due to Poisson's coupling and leads to a slower wave speed than that in an infinite medium ('pure' longitudinal motion). e. 9) and the corresponding longitudinal wave velocity is CL= where v is Poisson's ratio for the material. 3 ACTIVE CONTROL OF VIBRATION Flexural w a v e s Many structures are excited by disturbances which are located off the central axis of the moment of inertia of the structure leading to wave motion which is transverse to the direction of propagation.