Skip to main content
Top
Published in: Acta Mechanica 8/2020

08-06-2020 | Original Paper

Aeroelastic analysis of rectangular plates coupled to sloshing fluid

Authors: Korosh Khorshidi, Mahdi Karimi, Marco Amabili

Published in: Acta Mechanica | Issue 8/2020

Login to get access

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this study, an aeroelastic model that accounts for the fluid–structure interaction is developed to investigate vibration and stability of rectangular plates in contact with sloshing fluid on one side and under supersonic aeroelastic load on the other side. The fifth-order shear deformation theory, which is capable of considering rotary inertia and transverse shear stress, is employed to model the structure. Bulging and sloshing modes of the incompressible, inviscid and irrotational fluid are obtained with satisfying Laplace’s equation and fluid boundary conditions. The first-order piston theory is applied to consider the supersonic aeroelastic load. On the basis of Hamilton’s principle, the governing equations of the coupled fluid–structure system are derived and discretized using the Galerkin method. Numerical results for specific cases are compared with available results in the literature and an excellent agreement is observed. In the discussion section, influences of various parameters such as the dimensions of the fluid domain, plate dimensions and aerodynamic parameters on the natural frequencies and flutter behavior are studied.
Literature
2.
go back to reference Amabili, M.: Eigenvalue problems for vibrating structures coupled with quiescent fluids with free surface. J. Sound Vib. 231(1), 79–97 (2000)CrossRef Amabili, M.: Eigenvalue problems for vibrating structures coupled with quiescent fluids with free surface. J. Sound Vib. 231(1), 79–97 (2000)CrossRef
3.
go back to reference Amabili, M.: Vibrations of fluid-filled hermetic cans. J. Fluids Struct. 14(2), 235–255 (2000)CrossRef Amabili, M.: Vibrations of fluid-filled hermetic cans. J. Fluids Struct. 14(2), 235–255 (2000)CrossRef
4.
go back to reference Amabili, M., Paidoussis, M., Lakis, A.: Vibrations of partially filled cylindrical tanks with ring-stiffeners and flexible bottom. J. Sound Vib. 213(2), 259–299 (1998)CrossRef Amabili, M., Paidoussis, M., Lakis, A.: Vibrations of partially filled cylindrical tanks with ring-stiffeners and flexible bottom. J. Sound Vib. 213(2), 259–299 (1998)CrossRef
5.
go back to reference Amabili, M., Pellicano, F.: Nonlinear supersonic flutter of circular cylindrical shells. AIAA J. 39(4), 564–573 (2001)CrossRef Amabili, M., Pellicano, F.: Nonlinear supersonic flutter of circular cylindrical shells. AIAA J. 39(4), 564–573 (2001)CrossRef
6.
go back to reference Amabili, M., Pellicano, F.: Multimode approach to nonlinear supersonic flutter of imperfect circular cylindrical shells. J. Appl. Mech. 69(2), 117–129 (2002)CrossRef Amabili, M., Pellicano, F.: Multimode approach to nonlinear supersonic flutter of imperfect circular cylindrical shells. J. Appl. Mech. 69(2), 117–129 (2002)CrossRef
7.
go back to reference Bisplinghoff, R.L., Ashley, H., Halfman, R.L.: Aeroelasticity. Courier Corporation, New York (2013)MATH Bisplinghoff, R.L., Ashley, H., Halfman, R.L.: Aeroelasticity. Courier Corporation, New York (2013)MATH
10.
go back to reference Cheng, G., Lee, Y., Mei, C.: Flow angle, temperature, and aerodynamic damping on supersonic panel flutter stability boundary. J. Aircr. 40(2), 248–255 (2003)CrossRef Cheng, G., Lee, Y., Mei, C.: Flow angle, temperature, and aerodynamic damping on supersonic panel flutter stability boundary. J. Aircr. 40(2), 248–255 (2003)CrossRef
11.
go back to reference Chowdary, T., Parthan, S., Sinha, P.: Finite element flutter analysis of laminated composite panels. Comput. Struct. 53(2), 245–251 (1994)CrossRef Chowdary, T., Parthan, S., Sinha, P.: Finite element flutter analysis of laminated composite panels. Comput. Struct. 53(2), 245–251 (1994)CrossRef
12.
go back to reference Chowdary, T., Sinha, P., Parthan, S.: Finite element flutter analysis of composite skew panels. Comput. Struct. 58(3), 613–620 (1996) CrossRef Chowdary, T., Sinha, P., Parthan, S.: Finite element flutter analysis of composite skew panels. Comput. Struct. 58(3), 613–620 (1996) CrossRef
13.
go back to reference Dowell, E.H.: Aeroelasticity of Plates and Shells, vol. 1. Springer, Berlin (1974)MATH Dowell, E.H.: Aeroelasticity of Plates and Shells, vol. 1. Springer, Berlin (1974)MATH
16.
go back to reference Grover, N., Singh, B., Maiti, D.: An inverse trigonometric shear deformation theory for supersonic flutter characteristics of multilayered composite plates. Aerosp. Sci. Technol. 52, 41–51 (2016)CrossRef Grover, N., Singh, B., Maiti, D.: An inverse trigonometric shear deformation theory for supersonic flutter characteristics of multilayered composite plates. Aerosp. Sci. Technol. 52, 41–51 (2016)CrossRef
19.
go back to reference Khalafi, V., Fazilati, J.: Supersonic panel flutter of variable stiffness composite laminated skew panels subjected to yawed flow by using NURBS-based isogeometric approach. J. Fluids Struct. 82, 198–214 (2018)CrossRef Khalafi, V., Fazilati, J.: Supersonic panel flutter of variable stiffness composite laminated skew panels subjected to yawed flow by using NURBS-based isogeometric approach. J. Fluids Struct. 82, 198–214 (2018)CrossRef
20.
go back to reference Khorshid, K., Farhadi, S.: Free vibration analysis of a laminated composite rectangular plate in contact with a bounded fluid. Compos. Struct. 104, 176–186 (2013)CrossRef Khorshid, K., Farhadi, S.: Free vibration analysis of a laminated composite rectangular plate in contact with a bounded fluid. Compos. Struct. 104, 176–186 (2013)CrossRef
21.
go back to reference Khorshidi, K.: Effect of Hydrostatic Pressure on vibrating rectangular plates coupled with fluid. Sci. Iran. Trans. A Civ. Eng. 17(6), 415 (2010) Khorshidi, K.: Effect of Hydrostatic Pressure on vibrating rectangular plates coupled with fluid. Sci. Iran. Trans. A Civ. Eng. 17(6), 415 (2010)
22.
go back to reference Khorshidi, K., Akbari, F., Ghadirian, H.: Experimental and analytical modal studies of vibrating rectangular plates in contact with a bounded fluid. Ocean Eng. 140, 146–154 (2017)CrossRef Khorshidi, K., Akbari, F., Ghadirian, H.: Experimental and analytical modal studies of vibrating rectangular plates in contact with a bounded fluid. Ocean Eng. 140, 146–154 (2017)CrossRef
23.
go back to reference Khorshidi, K., Bakhsheshy, A.: Free natural frequency analysis of an FG composite rectangular plate coupled with fluid using Rayleigh–Ritz method. Mech. Adv. Compos. Struct. 1(2), 131–143 (2014) Khorshidi, K., Bakhsheshy, A.: Free natural frequency analysis of an FG composite rectangular plate coupled with fluid using Rayleigh–Ritz method. Mech. Adv. Compos. Struct. 1(2), 131–143 (2014)
24.
go back to reference Khorshidi, K., Bakhsheshy, A.: Free vibration analysis of a functionally graded rectangular plate in contact with a bounded fluid. Acta Mech. 226(10), 3401–3423 (2015)MathSciNetCrossRef Khorshidi, K., Bakhsheshy, A.: Free vibration analysis of a functionally graded rectangular plate in contact with a bounded fluid. Acta Mech. 226(10), 3401–3423 (2015)MathSciNetCrossRef
25.
go back to reference Khorshidi, K., Karimi, M.: Analytical modeling for vibrating piezoelectric nanoplates in interaction with inviscid fluid using various modified plate theories. Ocean Eng. 181, 267–280 (2019)CrossRef Khorshidi, K., Karimi, M.: Analytical modeling for vibrating piezoelectric nanoplates in interaction with inviscid fluid using various modified plate theories. Ocean Eng. 181, 267–280 (2019)CrossRef
27.
go back to reference Kwak, M., Amabili, M.: Hydroelastic vibration of free-edge annular plates. J. Vib. Acoust. 121(1), 26–32 (1999)CrossRef Kwak, M., Amabili, M.: Hydroelastic vibration of free-edge annular plates. J. Vib. Acoust. 121(1), 26–32 (1999)CrossRef
31.
go back to reference Liao, C.-L., Sun, Y.-W.: Flutter analysis of stiffened laminated composite plates and shells in supersonic flow. AIAA J. 31(10), 1897–1905 (1993)CrossRef Liao, C.-L., Sun, Y.-W.: Flutter analysis of stiffened laminated composite plates and shells in supersonic flow. AIAA J. 31(10), 1897–1905 (1993)CrossRef
32.
go back to reference Mei, C., Abdel-Motagaly, K., Chen, R.: Review of nonlinear panel flutter at supersonic and hypersonic speeds. Appl. Mech. Rev. 52(10), 321 (1999)CrossRef Mei, C., Abdel-Motagaly, K., Chen, R.: Review of nonlinear panel flutter at supersonic and hypersonic speeds. Appl. Mech. Rev. 52(10), 321 (1999)CrossRef
33.
go back to reference Sawyer, J.W.: Flutter and buckling of general laminated plates. J. Aircr. 14(4), 387–393 (1977) CrossRef Sawyer, J.W.: Flutter and buckling of general laminated plates. J. Aircr. 14(4), 387–393 (1977) CrossRef
37.
go back to reference Singha, M.K., Ganapathi, M.: A parametric study on supersonic flutter behavior of laminated composite skew flat panels. Compos. Struct. 69(1), 55–63 (2005)CrossRef Singha, M.K., Ganapathi, M.: A parametric study on supersonic flutter behavior of laminated composite skew flat panels. Compos. Struct. 69(1), 55–63 (2005)CrossRef
38.
go back to reference Song, Z., Zhang, L., Liew, K.: Aeroelastic analysis of CNT reinforced functionally graded composite panels in supersonic airflow using a higher-order shear deformation theory. Compos. Struct. 141, 79–90 (2016)CrossRef Song, Z., Zhang, L., Liew, K.: Aeroelastic analysis of CNT reinforced functionally graded composite panels in supersonic airflow using a higher-order shear deformation theory. Compos. Struct. 141, 79–90 (2016)CrossRef
39.
go back to reference Srinivasan, R., Babu, B.: Flutter analysis of cantilevered quadrilateral plates. J. Sound Vib. 98(1), 45–53 (1985)CrossRef Srinivasan, R., Babu, B.: Flutter analysis of cantilevered quadrilateral plates. J. Sound Vib. 98(1), 45–53 (1985)CrossRef
40.
go back to reference Uğurlu, B., Kutlu, A., Ergin, A., Omurtag, M.: Dynamics of a rectangular plate resting on an elastic foundation and partially in contact with a quiescent fluid. J. Sound Vib. 317(1–2), 308–328 (2008)CrossRef Uğurlu, B., Kutlu, A., Ergin, A., Omurtag, M.: Dynamics of a rectangular plate resting on an elastic foundation and partially in contact with a quiescent fluid. J. Sound Vib. 317(1–2), 308–328 (2008)CrossRef
41.
go back to reference Valizadeh, N., Natarajan, S., Gonzalez-Estrada, O.A., Rabczuk, T., Bui, T.Q., Bordas, S.P.: NURBS-based finite element analysis of functionally graded plates: static bending, vibration, buckling and flutter. Compos. Struct. 99, 309–326 (2013)CrossRef Valizadeh, N., Natarajan, S., Gonzalez-Estrada, O.A., Rabczuk, T., Bui, T.Q., Bordas, S.P.: NURBS-based finite element analysis of functionally graded plates: static bending, vibration, buckling and flutter. Compos. Struct. 99, 309–326 (2013)CrossRef
42.
go back to reference Watts, G., Pradyumna, S., Singha, M.: Free vibration analysis of non-rectangular plates in contact with bounded fluid using element free Galerkin method. Ocean Eng. 160, 438–448 (2018)CrossRef Watts, G., Pradyumna, S., Singha, M.: Free vibration analysis of non-rectangular plates in contact with bounded fluid using element free Galerkin method. Ocean Eng. 160, 438–448 (2018)CrossRef
44.
go back to reference Yousefzadeh, S., Jafari, A., Mohammadzadeh, A.: Effect of hydrostatic pressure on vibrating functionally graded circular plate coupled with bounded fluid. Appl. Math. Model. 60, 435–446 (2018)MathSciNetCrossRef Yousefzadeh, S., Jafari, A., Mohammadzadeh, A.: Effect of hydrostatic pressure on vibrating functionally graded circular plate coupled with bounded fluid. Appl. Math. Model. 60, 435–446 (2018)MathSciNetCrossRef
45.
go back to reference Zhao, H., Cao, D.: Supersonic flutter of laminated composite panel in coupled multi-fields. Aerosp. Sci. Technol. 47, 75–85 (2015)CrossRef Zhao, H., Cao, D.: Supersonic flutter of laminated composite panel in coupled multi-fields. Aerosp. Sci. Technol. 47, 75–85 (2015)CrossRef
46.
go back to reference Zhou, K., Su, J., Hua, H.: Aero-thermo-elastic flutter analysis of supersonic moderately thick orthotropic plates with general boundary conditions. Int. J. Mech. Sci. 141, 46–57 (2018)CrossRef Zhou, K., Su, J., Hua, H.: Aero-thermo-elastic flutter analysis of supersonic moderately thick orthotropic plates with general boundary conditions. Int. J. Mech. Sci. 141, 46–57 (2018)CrossRef
Metadata
Title
Aeroelastic analysis of rectangular plates coupled to sloshing fluid
Authors
Korosh Khorshidi
Mahdi Karimi
Marco Amabili
Publication date
08-06-2020
Publisher
Springer Vienna
Published in
Acta Mechanica / Issue 8/2020
Print ISSN: 0001-5970
Electronic ISSN: 1619-6937
DOI
https://doi.org/10.1007/s00707-020-02696-6

Other articles of this Issue 8/2020

Acta Mechanica 8/2020 Go to the issue

Premium Partners