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An Exact Solution for Acoustic Simulation Based Transmission Loss Optimization of Double-Chamber Silencer

Wael A. Altabey1,2,*
1 International Institute for Urban Systems Engineering (IIUSE), Southeast University, Nanjing, 210096, China
2 Department of Mechanical Engineering, Faculty of Engineering, Alexandria University, Alexandria, 21544, Egypt
* Corresponding Author: Wael A. Altabey. Email:

Sound & Vibration 2020, 54(4), 215-224.

Received 13 May 2020; Accepted 18 September 2020; Issue published 25 November 2020


The optimization of the acoustic silencer volume is very important to develop it and to get high-performance, the importance of the silencer was appeared in industrial field to eliminate the noise of the duct by efficient and economical method. The main goal of this research is to optimize the transmission loss (TL) by analytical method of the Double-Chamber Silencer (DCS), the TL has been selected as the main parameter in silencer because it does not based on the source or the termination impedances. First we calculated the power transmission coefficient (PTC) and the TL of an acoustic silencer, then used the Lagrange method to optimize the silencer length. All calculation of silencer data is obtained by solving the governing equations in commercial software Matlab®. A several calculations for different silencer length at many frequency ranges were performed simultaneously. Finally, this research supports the efficient and rapid techniques for DCS optimal design under narrow space. The results show that the acoustic TL is maximized at the desired frequency.


Acoustic silencer/filter; double-chamber silencer; transmission loss; power transmission; optimization

Cite This Article

Altabey, W. A. (2020). An Exact Solution for Acoustic Simulation Based Transmission Loss Optimization of Double-Chamber Silencer. Sound & Vibration, 54(4), 215–224.


This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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