Numerical Assessment of Rectangular Side Inlet/Outlet Plenums Internally Equipped with Two Crossed Baffles Using an FEM,Neural Network,and GA Method

Abstract

In this paper, a rectangular plenum internally equipped with two crossed baffles within a fixed space is assessed. To simplify the optimization process, a simplified objective function (OBJ) is constructed using the finite element model (FEM) in conjunction with the polynomial neural network model (ANNM). To assess an optimal plenum, the best OBJ will be numerically searched using a genetic algorithm (GA). Before the GA operation is performed, the accuracy of the FEM is verified using the analytical data. In addition, a case study of shape optimization on a space-constrained plenum at three targeted tones (1950 Hz, 2450 Hz, and 2850 Hz) has been introduced and carried out. The results reveal that the maximum value of the sound transmission loss (STL) can be accurately obtained at the desired frequencies. Consequently, the algorithm proposed in this study provides an efficient way to develop optimal rectangular plenums internally equipped with two crossed baffles.

Keywords

FEM plenum COMSOL Artificial Neural Network optimization genetic algorithm

References

Cummings

, 'The Attenuation of Lined Plenum Chambers in Duct: I. Theoretical Models, Journal of Sound and Vibration, 1978, 61(3), 347–373.

Eriksson

L. J.

, Higher Order Mode Effects in Circular Ducts and Expansion Chambers, Journal of the Acoustical Society of America, 1980, 68(2), 545–550.

Munjal

M. L.

, Acoustics of Ducts and Mufflers, Wiley-Interscience, New York, 1982.

S.I.

Lee

B. H.

, Three Dimensional Acoustic Analysis of Circular Expansion Chambers with a Side Inlet and a Side Outlet, Journal of the Acoustical Society of America, 1987, 81(5), 1279–1287.

Munjal

M. L.

, A Simple Numerical Method for Three-Dimensional Analysis of Simple Expansion Chamber Mufflers of Rectangular as well as Circular Cross-Section with a Stationary Medium, Journal of Sound and Vibration, 1987, 116(1), 71–88.

Kim

Soedel

, General Formulation of Four Pole Parameters for Three Dimensional Cavities utilizing Modal Expansion with Special Attention to the Annular Cylinder, Journal of Sound and Vibration, 1989, 129(2), 237–254.

Kim

Soedel

, Development of General Procedure to Formulate Four Pole Parameters by Modal Expansion and Its Application to Three Dimensional Cavities, ASME Transactions, Journal of Vibration and Acoustics, 1990, 112, 452–459.

Sahasrabudhe

S. A.

Ramu Munjal

M. L.

, Matrix Condensation and Transfer Matrix Techniques in the 3D Analysis of Expansion Chamber Mufflers, Journal of Sound and Vibration, 1991, 147(3), 371–394.

J. G.

, The Reactive Attenuation of Rectangular Plenum Chambers, Journal of Sound and Vibration, 1992, 157(1), 93–22.

10.

Wang

C. N.

Tse

C. C.

Chen

Y. N.

, Analysis of Three Dimensional Muffler with Boundary Element Method, Applied Acoustics, 1993, 40(2), 91–106.

11.

Munjal

M. L.

, Plane Wave Analysis of Side Inlet/outlet Chamber Mufflers with Mean Flow, Applied Acoustics, 1997, 52, 165–175.

12.

Barbieri

Lim

Fonseca

, Application of the Galerkin-FEM and the Improved Four-Pole Parameter Method to Predict Acoustic Performance of Expansion Chambers, Journal of Sound and Vibration, 2004, 276(3–5), 1101–1107.

13.

Hansen

C. H.

, Comparison of Models for Predicting the Transmission Loss of Plenum Chambers, Applied Acoustics, 2005, 66(7), 810–828.

14.

Herrin

D. W.

Tao

Scalf

E. L.

Allen

S. A.

Seybert

A. F.

, Using Numerical Acoustics to Predict the Attenuation of HVAC Plenums, ASHRAE Transactions, 2007, 113, Part 1.

15.

Herrin

D. W.

Cui

Liu

, Predicting Insertion Loss of Large Duct Systems above the Plane Wave Cutoff Frequency, Applied Acoustics, 2012, 73, 37–42.

16.

Chiu

M. C.

, Optimization Design of Hybrid Mufflers on Broadband Frequencies Using the Genetic Algorithm, Archives of Acoustics, 2011, 36(4), 795–822.

17.

Chiu

M. C.

, Genetic Algorithm Optimization on a Venting System with Three-chamber Hybrid Mufflers within a Constrained Back Pressure and Space, ASME J. of Vibration and Acoustics, 2012, 134, 021005, 1–11.

18.

Chiu

M. C.

Chang

Y. C.

, Shape Optimization of Multi-chamber Side Inlet/outlet Mufflers Hybridized with Multiple Perforated Intruding Tubes Using Genetic Algorithm, Journal of Marine Science and Technology, 2013, 21(3), 238–249.

19.

Chiu

M. C.

, Numerical Assessment for a Broadband and Tuned Noise Using Hybrid Mufflers and a Simulated Annealing Method, Journal of Sound and Vibration, 2013, 332, 2923–2940.

20.

Chang

Y. C.

Yeh

L. J.

Chiu

M. C.

Lai

G. J.

, Shape Optimization on Constrained Single-layer Sound Absorber by Using GA Method and Mathematical Gradient Methods, Journal of Sound and Vibration, 2005, 286(4–5), 941–961.

21.

Ivakhnenko

A. G.

, Polynomial Theory of Complex System, IEEE Trans. Syst. Man. Cyber., 1971, 1(4), 364–368.

22.

Patrikar

Provence

, Nonlinear System Identification and Adaptive Control Using Polynomial Networks, Math. Comput. Modeling, 1996, 123(1/2), 159–173.

23.

Holland

J. H.

, Adaptation in Natural and Artificial System, Ann Arbor, MI, The University of Michigan Press, 1975.

24.

Jong

, Analysis of the Behavior of a Class of Genetic Adaptive Systems, PhD Dissertation, The University of Michigan Press, 1975.