We consider the problem of active sound control, in which some domain is protected from the field generated outside. The active shielding is realized via the implementation of additional sources in such a way that the total contribution of all sources leads to the wanted effect. Mathematically the p
Active control of sound with variable degree of cancellation
✍ Scribed by V.S. Ryaben’kii; S.V. Tsynkov; S.V. Utyuzhnikov
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 424 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0893-9659
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✦ Synopsis
a b s t r a c t
We formulate and solve a control problem for the field (e.g., time-harmonic sound) governed by a linear PDE or system on a composite domain in R n . Namely, we require that simultaneously and independently on each subdomain the sound generated in its complement be attenuated to a desired degree. This goal is achieved by adding special control sources defined only at the interface between the subdomains. We present a general solution for controls in the continuous and discrete setting.
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