A 4 ร 4 transfer matrix is derived to evaluate the response of a multi-layered infinitely long elastic cylinder imbedded in a fluid and enclosing another fluid, to a given one-dimensional pressure excitation, or alternatively to evaluate the acoustic pressure distribution excited by the radial veloc
RESPONSE OF A MULTI-LAYERED INFINITE CYLINDER TO TWO-DIMENSIONAL PRESSURE EXCITATION BY MEANS OF TRANSFER MATRICES
โ Scribed by J.S. Sastry; M.L. Munjal
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 386 KB
- Volume
- 209
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
A 6 ร 6 transfer matrix is presented to evaluate the response of a multi-layered infinitely long elastic cylinder, imbedded in a fluid and enclosing another fluid, to a given two-dimensional pressure excitation on the outside or inside, or alternatively to evaluate the acoustic pressure distribution excited by the radial velocity components of the radiating surface. It is shown that the transfer matrix presented is a general case embodying the transfer matrix of one-dimensional pressure excitation due to a normal incident wave. It is also shown that the transfer matrix can be effectively used to obtain the scattering coefficient and noise reduction of a multi-layered cylinder for the case of oblique incidence of a plane wave. Numerical results for the scattering form function and noise reduction of a multi-layered infinite cylinder are given to illustrate the effect of two-dimensionality (angle of incidence), and layer material characteristics.
๐ SIMILAR VOLUMES
Starting with the basic equations connecting the state variables of normal stress, shear stress, tangential velocity and normal velocity, a transfer matrix for a solid plate has been derived. It has been shown that for the limiting case of normal excitation (tangential wave number equalling zero), t
A 6 ร 6 transfer matrix is presented to evaluate the response of a multi-layer infinite plate to a given two-dimensional pressure excitation on one of its faces or, alternatively, to evaluate the acoustic pressure distribution excited by the normal velocity components of the radiating surfaces. It i