Vibro-acoustic analysis of laminated composite plate structure using structure-dependent radiation modes: An experimental validation

Document Type : Article


1 School of Mechanical Engineering, KIIT University, Bhubaneswar: 751024, Odisha, India

2 Department of Mechanical Engineering, NIT, Rourkela: 769008, Odisha, India


In this article, the acoustic radiation responses of the layered composite flat panel in an infinite rigid baffle under the influence of harmonic point load and various support conditions are investigated numerically. The laminated composite flat panel responses have been computed using the ANSYS parametric design language code. The natural frequencies obtained using the current simulation model are matched with the earlier published values as well as in-house experimental results. The eigenvectors corresponding to the validated eigenvalues are extracted and utilised for the computation of the acoustic properties numerically by solving through Rayleigh integral scheme. The first radiation mode’s amplitudes for the vibrating plate have been computed and validated with the results available in open literature. Further, the self-radiation efficiency and radiated sound power are obtained based on the structure dependent radiation modes and all the radiation modes are also included to evaluate the exact radiated sound power. Finally, the effect of the different composite (Carbon/Epoxy and Glass/Epoxy) properties, constraint conditions and the location of point load on the displacement and velocity responses, radiation efficiency and the radiated acoustic power level of the layered flat panel have been investigated and discussed in detail.


Main Subjects

1. Cunefare, K.A. The minimum multimodal radiation
eciency of baed nite beams", J. Acoust. Soc. Am.,
90(5), pp. 2521-2529 (1991).
2. Cunefare, K.A. and Currey, M.N. On the exterior
acoustic radiation modes of structures", J. Acoust. Soc.
Am., 96(4), pp. 2302-2312 (1994).
3. Currey, M.N., Cunefare, K.A. The radiation modes of
baed nite plates", The J. Acoust. Soc. Am., 98(3),
pp. 1570-1580 (1995).
4. Sarkissian, A. Acoustic radiation from nite structures",
J. Acoust. Soc. Am., 90(1), pp. 574-578 (1991).
5. Naghshineh, K., Koopmann, G.H., and Belegundu,
A.D. Material tailoring of structures to achieve a
minimum radiation condition", J. Acoust. Soc. Am.,
92(2), pp. 841-855 (1992).
6. Li, S. and Li, X. The e ects of distributed masses on
acoustic radiation behaviour of plates", Appl. Acoust.,
69, pp. 272-279 (2008).
7. Yin, X. W., Gu, X. J., Cui, H. F., and Shen, R.Y.
2720 N. Sharma et al./Scientia Iranica, Transactions B: Mechanical Engineering 25 (2018) 2706{2721
Acoustic radiation from a laminated composite plate
reinforced by doubly periodic parallel sti eners", J.
Sound Vib., 306, pp. 877-889 (2007).
8. Yin, X., and Cui, H.F. Acoustic radiation from a
laminated composite plate excited by longitudinal and
transverse mechanical drives", J. Appl. Mech., 76(4),
pp. 0044501 (2009).
9. Ji, L., and Bolton, J.S. Sound power radiation from
a vibrating structure in terms of structure-dependent
radiation modes", J. Sound Vib., 335, pp. 245-260
10. Putra, A. and Thompson, D.J. Sound radiation
from rectangular baed and unbaed plates", Appl.
Acoust., 71(12), pp. 1113-1125 (2010).
11. Li, W.L. An analytical solution for the self- and
mutual radiation resistances of a rectangular plate",
J. Sound Vib., 245(1), pp. 1-16 (2001).
12. Li, W.L. and Gibeling, H.J. Determination of the
mutual radiation resistances of a rectangular plate and
their impact on the radiated sound power", J. Sound
Vib., 229(5), pp. 1213-1233 (2000).
13. Reddy, J.N., Mechanics of Laminated Composite
Plates and Shells: Theory and Analysis, 2nd Edn.,
CRC Press, Florida (2004).
14. Bellifa, H., Benrahou, K.H., Hadji, L., Houari, M.S.A.,
and Tounsi, A. Bending and free vibration analysis
of functionally graded plates using a simple shear
deformation theory and the concept the neutral surface
position", J. Braz. Soc. Mech. Sci. Eng., 38(1), pp.
265-275 (2016).
15. Bourada, M., Kaci, A., Houari, M.S.A., and Tounsi, A.
A new simple shear and normal deformations theory
for functionally graded beams", Steel Compos. Struct.,
18(2), pp. 409-423 (2015).
16. Houari, M.S.A., Tounsi, A., Bessaim, A., and Mahmoud,
S.R. A new simple three-unknown sinusoidal
shear deformation theory for functionally graded
plates", Steel Compos. Struct., 22(2), pp. 257- 276
17. Mahi, A., Adda Bedia, E.A., and Tounsi, A. A
new hyperbolic shear deformation theory for bending
and free vibration analysis of isotropic, functionally
graded, sandwich and laminated composite plates",
Appl. Math. Model., 39, pp. 2489-2508 (2015).
18. Chikh, A., Tounsi, A., Hebali, H., and Mahmoud,
S.R. Thermal buckling analysis of cross-ply laminated
plates using a simpli ed HSDT", Smart Struct. Syst.,
19(3), pp. 289-297 (2017).
19. Bouderba, B., Houari, M.S.A., Tounsi, A., and Mahmoud,
S.R. Thermal stability of functionally graded
sandwich plates using a simple shear deformation
theory", Struct. Eng. Mech., 58(3), pp. 397-422 (2016).
20. Ait Yahia, S., Ait Atmane, H., Houari, M.S.A., and
Tounsi, A. Wave propagation in functionally graded
plates with porosities using various higher-order shear
deformation plate theories", Struct. Eng. Mech., 53(6),
pp. 1143-1165 (2015).
21. Draiche, K., Tounsi, A., and Mahmoud, S.R. A
re ned theory with stretching e ect for the
analysis of laminated composite plates", Geomech.
Eng., 11(5), pp. 671-690 (2016).
22. Hamidi, A., Houari, M.S.A., Mahmoud, S.R., and
Tounsi, A. A sinusoidal plate theory with 5-unknowns
and stretching e ect for thermomechanical bending of
functionally graded sandwich plates", Steel Compos.
Struct., 18(1), pp. 235-253 (2015).
23. Wu, J. and Huang, L. Natural frequencies and acoustic
radiation mode amplitudes of laminated composite
plates based on the layerwise FEM", Int. J. Acoust.
Vib., 18(3), pp. 134-140 (2013).
24. Chandra, N., Raja, S., Nagendra Gopal, K.V. Vibroacoustic
response and sound transmission loss analysis
of functionally graded plates", J. Sound Vib., 333, pp.
5786-5802 (2014).
25. Everstine, G.C., Henderson, F.M Coupled nite element/
boundary element approach for
interaction", J. Acoust. Soc. Am., 87(5), pp. 1938-1947
26. Jeyaraj, P. Vibro-acoustic behavior of an isotropic
plate with arbitrarily varying thickness", Eur. J. Mech.
A. Solid., 29, pp. 1088-1094 (2010).
27. Jeyaraj, P., Ganesan, N., and Padmanabhan, C. Vibration
and acoustic response of a composite plate with
inherent material damping in a thermal environment",
J. Sound Vib., 320, pp. 322-338 (2009).
28. Jeyaraj, P., Padmanabhan, C., and Ganesan, N.
Vibro-acoustic behaviour of a multi-layered viscoelastic
sandwich plate under a thermal environment", J.
Sandw. Struct. Mater., 13(5), pp. 509-537 (2011).
29. Zhao, X., Geng, Q., and Li, Y. Vibration and acoustic
response of an orthotropic composite laminated plate
in a hygroscopic environment", J. Acoust. Soc. Am.,
133(3), pp. 1433-1442 (2013).
30. Au, F.T.K. and Wang, M.F. Sound radiation from
forced vibration of rectangular orthotropic plates under
moving loads", J. Sound Vib. 281, pp. 1057-1075
31. Arunkumar, M., Jeyaraj, P., Gangadharan, K.V., and
Lenin Babu, M.C. In
uence of nature of core on vibro
acoustic behaviour of sandwich aerospace structures",
Aerosp. Sci. Technol., 56, pp. 155-167 (2016).
32. Mao, Q., Pietrzko, S., Control of Noise and Structural
Vibration, Springer London (2013).
33. Sahoo, S.S., Singh, V.K., and Panda, S.K. Nonlinear

exural analysis of shallow carbon/epoxy laminated
composite curved panels: Experimental and numerical
investigation", J. Eng. Mech., 142(4), 04016008-1-13
(2016) DOI: 10.1177/1464420715600191.
34. Sahoo, S.S., Panda, S.K., and Mahapatra, T.R.
Static, free vibration and transient response of laminated
composite curved shallow panel - An experimental
approach", Eur. J. Mech. A. Solid., 59, pp. 95-113
N. Sharma et al./Scientia Iranica, Transactions B: Mechanical Engineering 25 (2018) 2706{2721 2721