A Mathematical Modeling of BFRP Laminated Composite Double-Chamber Mufflers Based Acoustic Transmission Loss Optimization

The acoustic muffler development depends on optimizing its volume for high performance, it is of great importance in the industrial field to obtain a reduction in duct noise economically and efficiently. The main aim of this work is to optimize analytically the acoustic transmission loss ( \({\text{TL}}\) ) of the Basalt Fiber Reinforced Polymer laminated composite Double-Chamber Mufflers (BFRP-CDCM) because \({\text{TL}}\) is an essential characteristic of the muffler and is not based on the source or the termination impedances. The power transmission coefficient ( \({\text{PTC}}\) ) and the \({\text{TL}}\) of a muffler will be calculated. The method used to optimize the length of the acoustic muffler is the genetic algorithms ( \({\text{GA}}\) ) method. The sound pressure data is obtained from the exact solution of the governing equations of the muffler model in Matlab® software. Many mathematical simulations were performed of varying muffler lengths at multiple frequency ranges simultaneously. The results indicate that the \({\text{TL}}\) is optimized at the desired zone of frequency. This research supports the quick and active approach towards optimal design for BFRP-CDCM in a space constrains.