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Self‐ and Mutual‐Radiation Impedance and Beam Patterns for Flexural Disks in a Rigid Plane

 

作者: David T. Porter,  

 

期刊: The Journal of the Acoustical Society of America  (AIP Available online 1964)
卷期: Volume 36, issue 6  

页码: 1154-1161

 

ISSN:0001-4966

 

年代: 1964

 

DOI:10.1121/1.1919177

 

出版商: Acoustical Society of America

 

数据来源: AIP

 

摘要:

Expressions are given for the nearfield pressure on a flexural disk in an infinite, rigid, plane baffle. This pressure is then integrated over the disk to obtain finite series expressions for self‐radiation impedance, which is referred to average surface velocity, as are all impedances in this article. Expressions are derived for the far field directionality factor of a flexural disk. The Bouwkamp integral method is used to obtain infinite series expressions for mutual radiation impedance between flexural disks by integrating the farfield directionality factor of two identical flexural disks, vibrating in phase, over a set of complex angles. It is shown that as the relative radius (ka) of the disk approaches zero and the element spacing becomes large as compared to the radius of the disk, the equations for mutual‐radiation resistance and reactance and self‐radiation resistance for flexural disks are the same as for circular pistons. However, aska→ 0, the self‐radiation reactance is larger for disks than pistons, being 0.849kafor pistons, 1.060kafor supported‐edge disks, and 1.204kafor clamped‐edge disks.

 

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