Total Acoustic Power of Two Concentric Clamped Circular Plates Vibrating in a Fluid

• Authors: W. Rdzanek
• Languages of publication: EN

Abstracts

EN

This study focuses on the problem of sound radiation by two concentric clamped flat plates, circular and annular, into the half-space. The system of three coupled differential equations comprising two equations of motions of plates and the wave equation, is solved exactly. Vibrations of plates are axisymmetric and time-harmonic with a single excitation frequency. The initial phase difference of excitations can be nonzero. Attenuation due to fluid loading and material damping is included. Kirchoff-Love and Kelvin-Voigt theories are applied. The effect of initial phase difference of excitations on the acoustic power radiated is examined as well as errors resulting from neglecting the fluid loading.

Keywords

EN

43.20.Bi; 43.20.El; 43.20.Fn; 43.20.Rz

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2015
• Volume: 128
• Issue: 1A
• Pages: A-41-A-45

Dates

published

2015-07

Contributors

author

W. Rdzanek

• University of Rzeszów, Department of Mechatronics and Control Science, Faculty of Mathematics and Natural Sciences, Prof. St. Pigonia 1, 35-310 Rzeszów, Poland

References

• [1] L.V. King, Can. J. Res. 11, 135 (1934), doi: 10.1139/cjr34-080
• [2] C.J. Bouwkamp, Physica 16, 1 (1950), doi: 10.1016/0031-8914(50)90112-1
• [3] R.L. Pritchard, J. Acoust. Soc. Am. 32, 730 (1960), doi: 10.1121/1.1908199
• [4] C.L. Scandrett, J.L. Day, S.R. Baker, J. Acoust. Soc. Am. 109, 2715 (2001), doi: 10.1121/1.1354985
• [5] N. Hashimoto, Applied Acoustics 62, 429 (2001), doi: 10.1016/S0003-682X(00)00025-6
• [6] J.P. Arenas, Int. J. Occup. Saf. Ergo. 15, 401 (2009)
• [7] J.P. Arenas, M.J. Crocker, Int. J. Acoust. Vib. 7, 217 (2002)
• [8] J.P. Arenas, J. Comput. Acoust. 16, 321 (2008), doi: 10.1142/S0218396X08003671
• [9] M. González-Montenegro, R. Jordan, A. Lenzi, J.P. Arenas, Arch. Acoust. 39, 249 (2014), doi: 10.2478/aoa-2014-0029
• [10] K. Kolber, A. Snakowska, M. Kozupa, Arch. Acoust. 39, 511 (2014), doi: 10.2478/aoa-2014-0055
• [11] J.P. Arenas, Lat. Am. Appl. Res. 39, 345 (2009)
• [12] M. Inalpolat, M. Caliskan, R. Singh, Noise Control Eng. 58, 145 (2010), doi: 10.3397/1.3322184
• [13] H. Levine, F.G. Leppington, J. Sound Vib. 121, 269 (1988), doi: 10.1016/S0022-460X(88)80029-4
• [14] W.J. Rdzanek, Arch. Acoust. 17, 439 (1992)
• [15] W.P. Rdzanek, Z. Engel, Appl. Acoust. 60, 29 (2000), doi: 10.1016/S0003-682X(99)00041-9
• [16] W.P. Rdzanek, J. Sound Vib. 249, 307 (2002), doi: 10.1006/jsvi.2001.3846
• [17] T. Mellow, J. Acoust. Soc. Am. 120, 90 (2006), doi: 10.1121/1.2206513
• [18] T. Mellow, L. Kärkkäinen, J. Acoust. Soc. Am. 121, 3527 (2007), doi: 10.1121/1.2715464
• [19] T. Mellow, L. Kärkkäinen, J. Acoust. Soc. Am. 123, 2598 (2008), doi: 10.1121/1.2896756
• [20] S.D. Vishwakarma, A.K. Pandey, J.M. Parpia, D.R. Southworth, H.G. Craighead, R. Pratap, J. Microelectromech. S. 23, 334 (2014), doi: 10.1109/JMEMS.2013.2273803
• [21] J.S. Anderson, M. Bratos-Anderson, Acta Acust. United Ac. 91, 61 (2005)
• [22] M.S. Kozień, Acta Phys. Pol. A 121, A132 (2012) http://przyrbwn.icm.edu.pl/APP/PDF/121/a121z1ap28.pdf
• [23] R. Zhou, M.J. Crocker, J. Vib. Acoust. 132, 0310121 (2010), doi: 10.1115/1.4000786
• [24] K. Szemela, J. Comput. Acoust. 21, 1350016 (2013), doi: 10.1142/S0218396X13500161
• [25] K. Szemela, Acta Acust. United Ac. 100, 604 (2014), doi: 10.3813/AAA.918740
• [26] D. Kuo, Y.C. Shiah, J.H. Huang, J. Vib. Acoust. 133, 031015 (2011), doi: 10.1115/1.4003268
• [27] S. Oberst, J.C.S. Lai, S. Marburg, J. Sound Vib. 332, 2284 (2013), doi: 10.1016/j.jsv.2012.11.034
• [28] Hyeongill Lee, P. I. Mech. Eng. C-J. Mec. 227, 919 (2013), doi: 10.1177/0954406212451066
• [29] D. Karkosiński, Arch. Elect. Eng. 56, 265 (2007)
• [30] H. Lee, R. Singh, J. Sound Vib. 282, 313 (2005), doi: 10.1016/j.jsv.2004.02.059
• [31] W. Thompson Jr., J. Sound Vib. 17, 221 (1971)
• [32] P. Witkowski, Arch. Acoust. 22, 463 (1997)
• [33] J. Lee, I. Seo, S.-M. Han, Sensor. Actuat. A-Phys. 90, 1 (2001), doi: 10.1016/S0924-4247(00)00558-6
• [34] H. Lee, J. Tak, W. Moon, G. Lim, J. Acoust. Soc. Am. 115, 666 (2004), doi: 10.1121/1.1639328
• [35] K. Sha, J. Yang, W.-S. Gan, J. Sound Vib. 282, 179 (2005), doi: 10.1016/j.jsv.2004.02.011
• [36] P.A. Nishamol, J. Mathew, D.D. Ebenezer, J. Sound Vib. 323, 989 (2009), doi: 10.1016/j.jsv.2009.01.026
• [37] H. Lee, D. Kang, W. Moon, J. Acoust. Soc. Am. 125, 1879 (2009), doi: 10.1121/1.3081385
• [38] Z. Kulka, Arch. Acoust. 36, 419 (2011), doi: 10.2478/v10168-011-0030-z
• [39] K. Szemela, W.P. Rdzanek, W.J. Rdzanek, Arch. Acoust. 37, 463 (2012), doi: 10.2478/v10168-012-0058-8
• [40] K.K. Park, B.T. Khuri-Yakub, J. Acoust. Soc. Am. 132, 2292 (2012), doi: 10.1121/1.4747613
• [41] W.P. Rdzanek, in: Proc. Forum Acusticum, Kraków 2014, p. 190
• [42] R. Trojanowski, J. Wiciak, Acta Phys. Pol. A 121, A148 (2012) http://przyrbwn.icm.edu.pl/APP/PDF/121/a121z1ap31.pdf
• [43] J. Wiciak, R. Trojanowski, Acta Phys. Pol. A 125, A179 (2014), doi: 10.12693/APhysPolA.125.A-179
• [44] L. Leniowska, Arch. Acoust. 33, 531 (2008)
• [45] M. Pawełczyk, Arch. Acoust. 33, 509 (2008)
• [46] W.M. Zawieska, Int. J. Occup. Saf. Ergo. 13, 381 (2007)
• [47] A. Brański, S. Szela, Arch. Acoust. 33, 521 (2008)
• [48] A. Brański, S. Szela, Acta Phys. Pol. A 119, 942 (2011) http://przyrbwn.icm.edu.pl/APP/PDF/119/a119z6Ap08.pdf
• [49] S.M. Hasheminejad, M. Maleki, Smart Mater. Struct. 18, 055013 (2009), doi: 10.1088/0964-1726/18/5/055013
• [50] B. Gheshlaghi, S.M. Hasheminejad, Thin Solid Films 537, 212 (2013), doi: 10.1016/j.tsf.2013.04.014
• [51] S.M. Hasheminejad, H. Keshavarzpour, J. Sound Vib. 332, 4798 (2013), doi: 10.1016/j.jsv.2013.04.028
• [52] M.S. Kozień, J. Wiciak, Acta Phys. Pol. A 118, 1186 (2010) http://przyrbwn.icm.edu.pl/APP/PDF/118/a118z6p25.pdf
• [53] S. Wrona, M. Pawełczyk, Arch. Acoust. 38, 529 (2013), doi: 10.2478/aoa-2013-0062
• [54] K. Mazur, M. Pawełczyk, Arch. Acoust. 38, 537 (2013), doi: 10.2478/aoa-2013-0063
• [55] A. Sommerfeld, Partial Differential Equations in Physics, Academic Press, New York 1964
• [56] A.W. Leissa, Vibration of Plates, NASA, Washington 1969

Identifiers

DOI

10.12693/APhysPolA.128.A-41