Acoustic Radiation Impedances And Impulse Responses For Elliptical Cylinders Using Internal Source Density And Singular Value Decomposition Methods
✍ Scribed by P.R. Stepanishen; S. Ramakrishna
- Book ID
- 102975166
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 517 KB
- Volume
- 176
- Category
- Article
- ISSN
- 0022-460X
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✦ Synopsis
A new internal source distribution method is combined with the singular value decomposition method to determine the acoustic impedance and associated impulse response for an infinite cylinder with a plane of symmetry and a normal velocity with a specified circumferential variation. An internal linear distribution of unknown monopole and/or dipole line sources along the plane of symmetry is determined to match the specified harmonic normal velocity on the surface in a least mean square error sense. After the discretization of the source distributions, the subsequent solution of a set or sets of linear algebraic equations for the internal source distributions is obtained using the singular value decomposition method. Line integrals for the associated surface pressure, the acoustic impedance and the corresponding impulse response are then simply evaluated by quadrature methods. Numerical results for the acoustic impedances and associated impulse responses are presented for circular cylinders vibrating with various natural in vacuo modal shapes. Numerical results for acoustic impedances and associated impulse responses for elliptical cylinders vibrating with various natural in vacuo modal shapes are then presented, and their characteristics are discussed and compared to the corresponding results for circular cylinders.