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Download e-book for iPad: Active sound and vibration control : theory and applications by M.O. Tokhi, S.M. Veres

By M.O. Tokhi, S.M. Veres

This publication provides the proven basics within the zone of energetic sound and vibration regulate and explores new and rising applied sciences and strategies. the most recent theoretical, algorithmic and
practical functions are coated

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8), using eqn. 5) and simplifying yields: (2-10) where a* is the power ratio of the secondary signal yaq(t) over the primary signal yDq(t), A is the cross-spectral density factor between yaq(t) and yDq(i) and fa is the cross-spectral density factor between the secondary signals yaq{t) (uj) _(rg\2 v) \rhiJ Suug(u) SuuD(U) where Syyaq(u}), SyyDq(u), Suua{oj) and S^/^a;) represent the autopower spectral densities of yaq{t), yDq(i), ua{t) and un(t), respectively, and 9i(w) and Oj(uj) are the angles by which the secondary signals yaq(t) and ycjq(t), ANC in three-dimensional propagation 33 respectively, lead the primary signal yDq(t)- Note that as% represents the power ratio of the secondary signal Ua{t) over the primary signal uo(t) at the source (before propagation) whereas a» is the corresponding power ratio at the arbitrary point q.

3a. 3d, the physical extent of cancellation achieved around the observation points has increased significantly. 3 can be obtained by revolving each about a straight line passing midway between the two observation points accordingly. The results presented in Figures 2 and 3 are based on the assumption that the controller characteristics are free of errors. In practice, however, the process of controller implementation, using analogue and/or digital techniques, introduces errors in the amplitude and phase of the controller [170, 172].

4) 30 Active Sound and Vibration Control This represents the required controller design relation for optimum cancellation of noise at the observation points. 3 Physical extent of cancellation The interference of the component waves through a process of realisation of an ANC system, effectively, leads to a pattern of zones of cancellation and reinforcement in the medium; noise is cancelled in some regions and reinforced in others. The physical extent of zones of cancellation primarily depends upon the maximum frequency of the noise and separation between the sources.

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