Optimization Design of Hybrid Mufflers on Broadband Frequencies Using the Genetic Algorithm

Chiu, Min‐Chie

doi:10.2478/v10168-011-0053-5

Cited by 19 publications

(16 citation statements)

References 20 publications

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“…A GA is a powerful stochastic search method for optimization 22 and involves the use of optimal search strategies patterned after the Darwinian notion of natural selection. During GA optimization, one set of trial solutions is chosen and evolves towards an optimal solution.…”

Section: Optimal Design Of the Multi-chamber Reactive Mufflermentioning

confidence: 99%

Acoustic behaviour analysis and optimal design of a multi-chamber reactive muffler

Xiang

Zuo

et al. 2016

Proceedings of the Institution of Mechanical Engineers, Part D:

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A two-dimensional analytical approach is developed to study the acoustic behaviour of a multi-chamber reactive muffler. The value of the transmission loss is obtained by matching the acoustic pressure and the particle velocity across the interfaces between different domains in the muffler. The analytical approach is validated by experimental results. Unlike the transfer matrix method, with this approach the acoustic behaviours can be studied above the first cut-off frequency of the muffler. Next, the effects of several structural parameters on the transmission loss value are invetigated, including the radii of the baffle holes, the inlet and the outlet, as well as the lengths and the radii of the expansion chambers. The variations in these parameters lead to quite large changes in the value of the transmission loss of the multi-chamber reactive muffler. Then, these parameters are chosen as the variables for the optimal design of the muffler, where the objective is the average transmission loss value between 1000 Hz and 3000 Hz. The results show that the objective value increases from 23.3 dB to 54.9 dB during optimization. The analytical approach in this paper can be used for analysis and optimization of the multi-chamber reactive muffler to reduce the noise effectively and efficiently in various applications.

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Section: Optimal Design Of the Multi-chamber Reactive Mufflermentioning

confidence: 99%

Acoustic behaviour analysis and optimal design of a multi-chamber reactive muffler

Xiang

Zuo

et al. 2016

Proceedings of the Institution of Mechanical Engineers, Part D:

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“…The related design parameters of RT1 E -RT7 E are depicted in Table 1. (n=2, m=1), and a One-chamber Dissipative Element) [29,30,31,32,33,34,35] In the same way, the sound transmission loss (STL) yields…”

Section: Muffler E (A One-chamber Simple Expansion Element Two Arraymentioning

confidence: 97%

“…(2) and 8) [25,26], a sudden contracted duct of matrix TSC (formulized in Eqs. (4) and (10)) [25,26,31,32], and a dissipative duct [25,26,33,34,35] are described as follows:…”

Section: Muffler a (A One-chamber Simple Expansion Element A Sbr Elementioning

confidence: 99%

Acoustical Treatment of Multi-Tone Broadband Noise with Hybrid Side-Branched Mufflers Using a Simulated Annealing Method

Chiu

2014

Journal of Low Frequency Noise, Vibration and Active Control

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Presently, there existed in industrial plants broadband noise hybridized with pure tones. In order to overcome a pure tone noise with a high peak value that is harmful to human hearing, a traditional reactive muffler has been used. However, the traditional method for designing a reactive muffler has proven to be time-consuming and insufficient. Helmholtz mufflers that deal with a pure tone have been adequately researched. However, manufacturing costs for the Helmholtz resonator have been too expensive. Noise elimination of pure tones for side-branched resonators (SBRs) that are easily manufactured has also been addressed. Nevertheless, the shape optimization of multi-chamber side-branched mufflers that deal with a broadband noise hybridized with multiple tones has been mostly ignored. In order to efficiently reduce the peak noise level, interest in shape optimization of a side-branched muffler is coming to the forefront. That being so, an analysis of the sound transmission loss (STL) and the best optimized design for a hybrid side-branched muffler under a space-constrained situation will be considered, here. Concerning the plane wave effect, the theoretical acoustic performance of a multi-tone hybrid side-branched muffler will be established using a four-pole system matrix. A numerical case for eliminating broadband noise hybridized with two tones emitted from a machine room using eight kinds of mufflers (muffler B–I) will also be introduced. To find the best acoustical performance of a space-constrained muffler, a numerical assessment using a simulated annealing (SA) method is adopted. To verify the availability of the SA optimization, a numerical optimization of muffler A at a pure tone (600 Hz) is exemplified. Before the SA operation can be carried out, the accuracy of the mathematical model has been checked using the experimental data. Moreover, the influences of the sound transmission loss (STL) with respect to n-series SBRs and the STL with respect to m-parallel SBRs have also been assessed. Also, the influence of the STL with respect to the design parameters such as the section area (Sb) of the SBR, the height (ZH) of the SBR, and the section area (S) of the main duct has been analyzed. Results reveal that the peak values of the pure tones are efficiently reduced after the hybrid side-branched muffler is added. Moreover, the acoustical performance of the hybrid side-branched muffler will increase when the number (m) of the parallel SBRs increases. Consequently, a successful approach in eliminating a broadband noise hybridized with two pure tones using optimally shaped hybrid mufflers and a simulated annealing method within a constrained space has been demonstrated.

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“…The sound transmission loss (STL) of a muffler is defined as (Munjal, 1987) (Chiu, 2010a;2010b;2010c) Similarly, the sound transmission loss (STL) is (Chiu, 2011a;2011b;2012) Also, the sound transmission loss (STL) is…”

Section: Muffler a (A One-chamber Hr Element And A One-chamber Simplementioning

confidence: 99%

Noise Elimination of a Multi-tone Broadband Noise with Hybrid Helmholtz Mufflers Using a Simulated Annealing Method

Chiu¹

2012

Archives of Acoustics

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Noise control is essential in an enclosed machine room where the noise level has to comply with the occupational safety and health act. In order to overcome a pure tone noise with a high peak value that is harmful to human hearing, a traditional reactive muffler has been used. However, the traditional method for designing a reactive muffler has proven to be time-consuming and insufficient. In order to efficiently reduce the peak noise level, interest in shape optimization of a Helmholtz muffler is coming to the forefront.Helmholtz mufflers that deal with a pure tone have been adequately researched. However, the shape optimization of multi-chamber Helmholtz mufflers that deal with a broadband noise hybridized with multiple tones within a constrained space has been mostly ignored. Therefore, this study analyzes the sound transmission loss (STL) and the best optimized design for a hybrid Helmholtz muffler under a spaceconstrained situation. On the basis of the plane wave theory, the four-pole system matrix used to evaluate the acoustic performance of a multi-tone hybrid Helmholtz muffler is presented. Two numerical cases for eliminating one/two tone noises emitted from a machine room using six kinds of mufflers (muffler A∼F) is also introduced. To find the best acoustical performance of a space-constrained muffler, a numerical assessment using a simulated annealing (SA) method is adopted. Before the SA operation can be carried out, the accuracy of the mathematical model has been checked using the experimental data. Eliminating a broadband noise hybridized with a pure tone (130 Hz) in Case I reveals that muffler C composed of a onechamber Helmholtz Resonator and a one-chamber dissipative element has a noise reduction of 54.9 (dB). Moreover, as indicated in Case II, muffler F, a two-chamber Helmholtz Resonator and a one-chamber dissipative element, has a noise reduction of 69.7 (dB). Obviously, the peak values of the pure tones in Case I and Case II are efficiently reduced after the muffler is added.Consequently, a successful approach in eliminating a broadband noise hybridized with multiple tones using optimally shaped hybrid Helmholtz mufflers and a simulated annealing method within a constrained space is demonstrated.Keywords: multiple tones, hybrid, Helmholtz, four-pole transfer matrix method, SA method. p -acoustic pressure (Pa), p% -the porosity of the perforated tube in the dissipative element, Q -volume flow rate of venting gas (m 3 s −1 ), r k -the radius of the resonating tube in the Helmholtz resonator (m), Rres -the acoustic resistance, SA -simulated annealing, S i -the section area at the i-th node (m 2 ), Archives of Acoustics -Volume 37, Number 4, 2012 S k -the section area of the resonating tube in the Helmholtz resonator (m 2 ), STL -sound transmission loss (dB), SWL T -overall sound power level inside the muffler's output (dB), T * ij -components of a four-pole transfer system matrix, TS ij , TSC ij , TSE ij , THR ij -components of four-pole transfer matrices for an acoustical mechanism with a s...

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Optimization Design of Hybrid Mufflers on Broadband Frequencies Using the Genetic Algorithm

Cited by 19 publications

References 20 publications

Acoustic behaviour analysis and optimal design of a multi-chamber reactive muffler

Acoustic behaviour analysis and optimal design of a multi-chamber reactive muffler

Acoustical Treatment of Multi-Tone Broadband Noise with Hybrid Side-Branched Mufflers Using a Simulated Annealing Method

Noise Elimination of a Multi-tone Broadband Noise with Hybrid Helmholtz Mufflers Using a Simulated Annealing Method

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