ARTICLE
Prediction of acoustic modal characteristics of two dimensional irregular shaped cavities by impedance mobility compact matrix (IMCM) approach
 
More details
Hide details
1
Research Center Imarat, Hyderabad, Telangana, India
 
2
Indian Institute of Technology Hyderabad, Department of Mechanical and Aerospace Engineering, Telangana, India
 
 
Submission date: 2019-12-25
 
 
Final revision date: 2020-05-25
 
 
Acceptance date: 2020-09-21
 
 
Online publication date: 2020-11-28
 
 
Publication date: 2021-01-15
 
 
Corresponding author
B. Venkatesham   

Mechanical & Aerospace Engineering, Indian Institute of Technology, Hyderabad, Kandi, 502285, Hyderabd, India
 
 
Journal of Theoretical and Applied Mechanics 2021;59(1):95-107
 
KEYWORDS
TOPICS
ABSTRACT
In this paper, the impedance and mobility compact matrix (IMCM) method for prediction of acoustic modal characteristics of two dimensional irregular cavities with the rigid wall boundary is presented. This method consists of discretizing the whole cavity into a series of subcavities either of regular or irregular shape. Continuity of both pressure and veloc- ity between adjacent subcavities is ensured using a virtual membrane with zero mass and stiffness. Mathematical formulation for acoustic cavities with the irregular shape has been explained in detail. A finite element model has been developed to calculate the acoustic natural frequency and mode shape. The proposed method is validated using a regular and irregular cavity and compared with finite element modelling results and available results in the literature.
REFERENCES (17)
1.
Amir N., Starobinski R., 1996, Finding the eigen modes of two dimensional cavities with two axes of symmetry, Acta Acustica united with Acustica, 82, 6, 811-823.
 
2.
Anyunzoghe E., Cheng L., 2002a, Improved integro-modal approach with pressure distribution assessment and the use of overlapped cavities, Applied Acoustics, 63, 1233-1255.
 
3.
Anyunzoghe E., Cheng L., 2002b, On the extension of the integro-modal approach, Journal of Sound Vibration, 255, 2, 399-406.
 
4.
Brebbia A.A., Telles J.C.F., Wrobel L.C., 1984, Boundary Element Techniques, Springer, New York.
 
5.
Dowell E.H., Gorman III G.F., Smith D.A., 1977, Acoustoelasticity: general theory, acoustic natural modes and forced response to sinusoidal excitation, including comparison with the experiment, Journal of Sound and Vibration, 52, 519-542.
 
6.
Joppa P.D., Fyfe I.M., 1978, A finite element analysis of the impedance properties of irregular shaped cavities with absorptive boundaries, Journal of Sound and Vibration, 56, 61-69.
 
7.
Kang S.W., Lee J.M., 2000, Eigenmode analysis of arbitrarily shaped two-dimensional cavities by method of point-matching, The Journal of the Acoustical Society of America, 107, 1153-1160.
 
8.
Kim S.M., Brennan M.J., 1999, A compact matrix formulation using the impedance and mobility approach for the analysis of structural-acoustic systems, Journal of Sound Vibration, 223, 1, 97-113.
 
9.
Kim Y.Y., Kim D.K., 1999, Applications of waveguide-type base functions for the eigen problems of two-dimensional cavities, The Journal of the Acoustical Society of America, 106, 1704-1711.
 
10.
Missaoui J., Cheng L., 1997, A combined integro-modal approach for predicting acoustic properties of irregular-shaped cavities, The Journal of the Acoustical Society of America, 101, 6, 3313-3321.
 
11.
Morse P.M., Feshbach H., 1953, Methods of Theoretical Physics, Vol. II, Mc-Graw Hill, New York.
 
12.
Pan J., 1999, A third note on the prediction of sound intensity, The Journal of the Acoustical Society of America, 105, 560-562.
 
13.
Pan J., Bies D.A., 1990, The effect of fluid-structural coupling on sound waves in an enclosure, Theoretical Part, The Journal of the Acoustical Society of America, 87, 2, 691-707.
 
14.
Petyt M., Lea J., Koopmann G. H., 1976, A finite element method for determining the acoustic modes of irregular shaped cavities, Journal of Sound and Vibration, 45, 495-502.
 
15.
Shi D., Zhang Y., Xiuhai L., 2019, Analysis of acoustic characteristics of arbitrary triangular prism and quadrangular prism acoustic cavities, Shock and Vibration, 2, 1-17.
 
16.
Sum K.S., Pan J., 2006, Effects of the inclination of a rigid wall on the free vibration characteristics of acoustic modes in a trapezoidal cavity, The Journal of the Acoustical Society of America, 119, 4, 2201-2210.
 
17.
Venkatesham B., Mayank Tiwari, Munjal M.L., 2008, Free vibration analysis of coupled acoustic-structural systems, IISc Centenary – International Conference on Advances in Mechanical Engineering (IC-ICAME).
 
eISSN:2543-6309
ISSN:1429-2955
Journals System - logo
Scroll to top