The Numerical Simulation for Vibroacoustic Phenomena of a Slender Elastic Shell

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Abstract:

The vibroacoustic phenomena for the slender elastic thin shell filled with water by finite element method is introduced in this paper. The unsymmetric (u, p) variational formulas and finite element procedures are implemented for 3 dimensional structures of vibroacoustic environment based on the displacement field u and the fluid acoustic pressure field p. As illustrated by numerical examples, the longitudinal acoustic pressure eigenmodes will be occurred besides the transverse bendable eigenmodes of the slender shell, nonetheless the eigenvalues and the order of eigenmodes for the fluid acoustic pressure field can only be determined by the flexibility and geometry stiffness of the slender shell.

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Periodical:

Advanced Materials Research (Volumes 479-481)

Pages:

1365-1370

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Online since:

February 2012

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[1] Roger Ohayon, Christian Soize, Structural Acoustics and Vibration: Mechanical Models, Variational Formulations and Discretization, Academic Press, London, 1998.

DOI: 10.1016/b978-012524945-4/50002-5

Google Scholar

[2] H.J.-P. Morand and R. Ohayon, Fluid Structure Interaction: Applied Numerical Methods. John Wiley and Sons, Ltd., Masson, Paris, 1995.

Google Scholar

[3] Göran Sandberg, Roger Ohayon, Computational Aspects of Structural Acoustics and Vibration, Springer, New York, 2008.

Google Scholar

[4] K.J, Bathe, et. al., A Mixed Displacement-Based Finite Element Formulation for Acoustic Fluid-Structure Interaction, Comput. Struct. 56 (1995) 225-237.

DOI: 10.1016/0045-7949(95)00017-b

Google Scholar

[5] M. Petyt, Introduction to Finite Element Vibration Analysis, Cambridge University Press, Cambridge, 1990.

Google Scholar

[6] Peter I. Kattan, MATLAB Guide to Finite Elements, an interactive approach, Springer, Berlin, 2008.

Google Scholar

[7] Y. W. Kwon and H. Bang. Finite Element Method using MATLAB. CRC Press, Boca Raton, FL, 1996.

Google Scholar

[8] Frank Fahy, Paolo Gardonio, Sound and Structural Vibration: Radiation, Transmission and Response, Second Ed., Academic Press, Amsterdam, 2007.

Google Scholar

[9] S. Chakraverty, Vibration of plates, CRC Press, Boca Raton, FL, 2009.

Google Scholar

[10] Werner Soedel, Vibrations of Shells and Plates, Third Ed., Marcel Dekker, Inc, New York, 2004.

Google Scholar

[11] Samira Mohamady, et. al, Modeling and Eigenfrequency Analysis of Sound-Structure Interaction in a Rectangular Enclosure with Finite Element Method, Advances in Acoustics and Vibration, vol (2009) 1-9.

DOI: 10.1155/2009/371297

Google Scholar

[12] Michael Möser. Engineering Acoustics: An Introduction to Noise Control. Second Edition, Springer, Berlin, 2009.

Google Scholar

[13] C.M.A. Vasques, J. Dias Rodrigues, Vibration and Structural Acoustics Analysis: Current Research and Related Technologies. Springer Dordrecht, 2011.

Google Scholar

[14] S. Timoshenko, Vibration Problems in Engineering, Second Ed, D. Van Nostrand Company, Inc., New York, 1937.

Google Scholar

[15] Werner Soedel, Sound and vibrations of positive displacement compressors, CRC Press, Boca Raton, FL, 2007.

Google Scholar