An Improved FE-BE Method for Solving the Fluid-Structure Interaction Problems of Plates


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This paper proposed a numerical approach called improved FE-BE (finite element-boundary element) method to solve the fluid-structure interaction problems of plate-like systems. In order to avoid the mesh of both faces of the thin plates, some dumb structures were added to make the plate systems closed. Thus the conventional FE-BE method can be adopted to solve this problem. The dynamic response equation of the inner region can be obtained by the FE method, and the acoustic added mass and damping coefficients of the exterior region can be obtained by the BE method. Then the final fluid-structure interaction equation can be easily solved. Numerical results of some examples are computed to demonstrate the validation of the present method. The comparison of numerical results and reference solutions shows that the proposed method is acceptable for solving the fluid-structure interaction of plates.



Edited by:

Bale V. Reddy, Shishir Kumar Sahu, A. Kandasamy and Manuel de La Sen




Z. W. Huang and Q. D. Zhou, "An Improved FE-BE Method for Solving the Fluid-Structure Interaction Problems of Plates", Applied Mechanics and Materials, Vol. 627, pp. 84-88, 2014

Online since:

September 2014




[1] Yi-Tzong Chern, B. s. , M. S. , Forced Vibration Analysis of Plates and Shallow Shells, PhD Thesis, The Ohio State University (1989).

[2] G. C. Everstine, Finite Element Formulations of Structural Acoustics Problem, Computers & Structures 65(3) (1997) 307-321.

[3] G. C. Everstine, Structural-Acoustic Finite Element Analysis with Application to Scattering, In: Proc. 6th Finite Differences, and Calulus of Variations (Edited by H. Kardestuncer), University of Connecticut, Storrs, CT. 1982 101-122.

[4] R. J. Astley, W. Eversman, Finite Element Formulations for Acoustical Radiation, Journal of Sound and Vibration 88(1) (1983) 47-64.


[5] R. J. Astley, J. A. Hamilton, Numerical Studies of Conjugated Infinite Elements for Acoustical Radiation, Journal of Computational Acoustics 8(1) (2000) 1-24.

[6] R.J. Astley, Infinite Elements for Wave Problems: A Review of Current Formulations and an Assessment of Accuracy, Int. J. Meth. Engng. 49 (2000) 951-976.


[7] Johannes Baumgart, Steffen Marburg, Stefan Schneider, Efficient Sound Power Computation of Open Structures with Infinite/Finite Elements and by Means of the Pade-via-Lanczos Algorithm, Journal of Computational Acoustics, 15(2007) 557-577.

[8] Q. Zhou, W. Zhang, P. F. Joseph, A New Method for Determining Acoustic Added Mass and Damping Coefficients of Fluid-Structure Interaction, in: Y. S. Wu, et al (Eds), The Eighth International Symposium on Practical Design of Ships and Other Floating Structures, Elsevier, Amsterdam, 2001, pp.1185-1195.

[9] H Sharifi, Finite Element-Boundary Element Mesh Generation Technique for Fluid Structure Problems, American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FEDSM, 3 (PARTS A AND B) (2010) 317-324.


[10] G. C. Everstine, Francis M., Henderson, Coupled Finite Element/Boundary Element Approach for Fluid-Structure Interaction, J. Acoust. Soc. Am. 87 (1990) 1936-(1947).

[11] A. Y. T. Leung, G. R. Wu, W. F. Zhong, Exterior Problems of Acoustics by Fractal Finite Element Mesh, Journal of Sound and Vibration 10(6)(2004) 125-135.


[12] Wang Jing-sheng, Wu You-sheng, Virtual Boundary Method for Solving Acoustic Problems of Open Structure, Journal of Ship Mechanics 10(2006) 159-166.

[13] Q. Zhou, P. F. Joseph, A Numerical Method for the Calculation of Dynamic Response and Acoustic Radiation from an Underwater Structure, Journal of Sound and Vibration 283 (2005) 853-873.