The scattering of a fluid-structure coupled wave at a flanged junction between two flexible waveguides is investigated. The flange is assumed to be rigid on one side and soft on the other; this enables a solution to be formulated using mode-matching. It is shown that both the choice of the edge conditions imposed on the plates at the junction and the choice of incident forcing significantly affect the transmission of energy along the duct. In particular, the edge conditions crucially affect the transmission of structure-borne vibration but have little effect on fluid-borne noise. Given the singular nature of the velocity field at the flange tip, particular attention is paid to the validity of the mode-matching method. It is demonstrated that the velocity field can be accurately reconstructed by incorporating the Lanczos filter into the truncated modal expansions. The mode-matching method is thus confirmed as an viable tool for this class of problem.
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September 2013
September 01 2013
Scattering of a fluid-structure coupled wave at a flanged junction between two flexible waveguides
Rab Nawaz;
Rab Nawaz
a)
Department of Mathematics,
Brunel University
, Uxbridge, UB8 3PH, United Kingdom
Search for other works by this author on:
Jane B. Lawrie
Jane B. Lawrie
b)
Department of Mathematics,
Brunel University
, Uxbridge, UB8 3PH, United Kingdom
Search for other works by this author on:
a)
Present Address: Department of Mathematics, Quaid-i-Azam University, Islamabad Pakistan; Permanent Address: Department of Mathematics, COMSATS Institute of Information Technology, Wah Campus, Quaid Avenue, Wah Cantt, Pakistan.
b)
Author to whom correspondence should be addressed. Electronic mail: [email protected]
J. Acoust. Soc. Am. 134, 1939–1949 (2013)
Article history
Received:
February 10 2013
Accepted:
July 23 2013
Citation
Rab Nawaz, Jane B. Lawrie; Scattering of a fluid-structure coupled wave at a flanged junction between two flexible waveguides. J. Acoust. Soc. Am. 1 September 2013; 134 (3): 1939–1949. https://doi.org/10.1121/1.4817891
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