Dynamic characteristics of conical sandwich shells with rheological fluid-based smart core and porous face sheets

محورهای موضوعی : Engineering

Meysam Alinejad ¹ ( Department of Mechanical Engineering, Arak Branch, Islamic Azad University, Arak, Iran )
Saeed Jafari Mehrabadi ² ( Department of Mechanical Engineering, Arak Branch, Islamic Azad University, Arak, Iran )
Mohammad Mehdi Najafizadeh ³ ( Department of Mechanical Engineering, Arak Branch, Islamic Azad University, Arak, Iran )

تاریخ دریافت : 1403/04/04 تاریخ پذیرش : 1403/05/25 تاریخ انتشار : 1403/07/03

کلید واژه: Free vibration, Sandwich shell, Conical shell, Rheological materials, Porous materials,

چکیده مقاله :

This research is devoted to the free vibrational analysis of a truncated conical three-layered sandwich shell with a rheological core and functionally graded (FG) porous face sheets. The rheological core can be either electrorheological elastomer (ERF) or magnetorheological fluid (MRF). The mathematical modeling of the layers of the shell is performed based on the first-order shear deformation theory (FSDT) by including the continuity conditions between the core and two face sheets. Three different porosity distribution patterns are investigated including a uniform one and two FG non-uniform ones. The porosity parameters of these distribution patterns are adjusted to result in the same mass (weight) for all patterns. The governing equations and associated boundary conditions are attained through Hamilton’s principle and are solved via a semi-analytical solution to determine the natural frequencies of the shell and corresponding loss factors. This semi-analytical solution includes an exact solution in the circumferential direction followed by an approximate solution in the meridional direction via the differential quadrature method (DQM). The effects of several parameters on the natural frequencies and loss factors are examined such as intensity of the magnetic and electric fields, thickness of the rheological core, distribution pattern and porosity parameter of the FG porous face sheets, and the boundary conditions. Numerical results show that the sandwich shell with ERF core benefits from higher natural frequencies rather than the sandwich shell with MRF core. But, the sandwich shell with MRF core benefits from higher loss factors rather than the sandwich shell with ERF core.

چکیده انگلیسی:

This research is devoted to the free vibrational analysis of a truncated conical three-layered sandwich shell with a rheological core and functionally graded (FG) porous face sheets. The rheological core can be either electrorheological elastomer (ERF) or magnetorheological fluid (MRF). The mathematical modeling of the layers of the shell is performed based on the first-order shear deformation theory (FSDT) by including the continuity conditions between the core and two face sheets. Three different porosity distribution patterns are investigated including a uniform one and two FG non-uniform ones. The porosity parameters of these distribution patterns are adjusted to result in the same mass (weight) for all patterns. The governing equations and associated boundary conditions are attained through Hamilton’s principle and are solved via a semi-analytical solution to determine the natural frequencies of the shell and corresponding loss factors. This semi-analytical solution includes an exact solution in the circumferential direction followed by an approximate solution in the meridional direction via the differential quadrature method (DQM). The effects of several parameters on the natural frequencies and loss factors are examined such as intensity of the magnetic and electric fields, thickness of the rheological core, distribution pattern and porosity parameter of the FG porous face sheets, and the boundary conditions. Numerical results show that the sandwich shell with ERF core benefits from higher natural frequencies rather than the sandwich shell with MRF core. But, the sandwich shell with MRF core benefits from higher loss factors rather than the sandwich shell with ERF core.

منابع و مأخذ:

[1] S. Nagiredla, S. Joladarashi, H. Kumar, Experimental investigation of frequency and damping characteristics of magneto-rheological fluid core sandwich beams, AIP Conference Proceedings, AIP Publishing, 2020.
[2] N. Srinivasa, T. Gurubasavaraju, H. Kumar, M. Arun, Vibration analysis of fully and partially filled sandwiched cantilever beam with Magnetorheological fluid, J. Eng. Sci. Technol 15 (2020) 3162-3177.
[3] M. Eshaghi, The effect of magnetorheological fluid and aerodynamic damping on the flutter boundaries of MR fluid sandwich plates in supersonic airflow, European Journal of Mechanics-A/Solids 82 (2020) 103997.
[4] M. Eshaghi, Supersonic flutter analysis of annular/circular sandwich panels containing magnetorheological fluid, Journal of Sandwich Structures & Materials 23(7) (2021) 2968-2987.
[5] A. Ghorbanpour Arani, A. Rastgoo, Vibration Analysis of the Sandwich Beam with Electro-Rheological Fluid Core Embedded Within Two FG Nanocomposite Faces Resting on Pasternak Foundation, Journal of Solid Mechanics 12(4) (2020).
[6] A. Ghorbanpour Arani, S. Jamali, The vibration of the cylindrically curved sandwich plate with rheological core and nanocomposite face sheets rested on the Winkler–Pasternak foundation, Journal of Sandwich Structures & Materials 23(6) (2021) 2196-2216.
[7] M. Gholamzadeh Babaki, M. Shakouri, Free and forced vibration of sandwich plates with electrorheological core and functionally graded face layers, Mechanics Based Design of Structures and Machines 49(5) (2021) 689-706.
[8] R. Aboutalebi, M. Eshaghi, A. Taghvaeipour, Nonlinear vibration analysis of circular/annular/sector sandwich panels incorporating magnetorheological fluid operating in the post-yield region, Journal of Intelligent Material Systems and Structures 32(7) (2021) 781-796.
[9] A.O. Soroor, M. Asgari, H. Haddadpour, Effect of axially graded constraining layer on the free vibration properties of three layered sandwich beams with magnetorheological fluid core, Composite Structures 255 (2021) 112899.
[10] F. Ebrahimi, S.B. Sedighi, Wave propagation analysis of a rectangular sandwich composite plate with tunable magneto-rheological fluid core, Journal of Vibration and Control 27(11-12) (2021) 1231-1239.
[11] M. Keshavarzian, M.M. Najafizadeh, K. Khorshidi, P. Yousefi, S.M. Alavi, Comparison of the application of smart electrorheological and magnetorheological fluid cores to damp sandwich panels’ vibration behavior, based on a novel higher-order shear deformation theory, Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering 236(2) (2022) 225-244.
[12] M. Keshavarzian, M.M. Najafizadeh, K. Khorshidi, P. Yousefi, S.M. Alavi, Non-linear free vibration analysis of a thick sandwich panel with an electrorheological core, Journal of Vibration Engineering & Technologies 10(4) (2022) 1495-1509.
[13] P. Shahali, H. Haddadpour, S. Shakhesi, Dynamic analysis of electrorheological fluid sandwich cylindrical shells with functionally graded face sheets using a semi-analytical approach, Composite Structures 295 (2022) 115715.
[14] A. Shariati, S.S. Bayrami, F. Ebrahimi, A. Toghroli, Wave propagation analysis of electro-rheological fluid-filled sandwich composite beam, Mechanics Based Design of Structures and Machines 50(5) (2022) 1481-1490.
[15] K. Khorshidi, B. Soltannia, M. Karimi, A. Ghorbani, Nonlinear vibration of electro-rheological sandwich plates, coupled to quiescent fluid, Ocean Engineering 271 (2023) 113730.
[16] S.M. Farahani, S. Jafari Mehrabadi, S.V. Mohammadi, Vibration analysis of a smart viscoelastic porous sandwich micro-shell with magnetorheological fluid core using the modified couple stress theory, Waves in Random and Complex Media (2024) 1-31.
[17] P. Cupial, J. Niziol, Vibration and damping analysis of a three-layered composite plate with a viscoelastic mid-layer, Journal of Sound and Vibration 183(1) (1995) 99-114.
[18] R. Selvaraj, M. Ramamoorthy, A.B. Arumugam, Experimental and numerical studies on dynamic performance of the rotating composite sandwich panel with CNT reinforced MR elastomer core, Composite Structures 277 (2021) 114560.
[19] J.-Y. Yeh, Finite element analysis of the cylindrical shells subjected to ER damping treatment, Smart materials and structures 17(3) (2008) 035022.
[20] S.M. Hasheminejad, M.A. Motaaleghi, Supersonic flutter control of an electrorheological fluid-based smart circular cylindrical shell, International Journal of Structural Stability and Dynamics 14(02) (2014) 1350064.
[21] V. Rajamohan, R. Sedaghati, S. Rakheja, Vibration analysis of a multi-layer beam containing magnetorheological fluid, Smart Materials and Structures 19(1) (2009) 015013.
[22] M. Alinejad, S. Jafari Mehrabadi, M.M. Najafizadeh, Free vibration analysis of a porous functionally graded, truncated conical shell with a magneto-rheological fluid core, Mechanics of Advanced Materials and Structures 31(5) (2024) 1006-1020.
[23] H. Afshari, Free vibration analysis of GNP-reinforced truncated conical shells with different boundary conditions, Australian Journal of Mechanical Engineering 20(5) (2022) 1363-1378.
[24] H. Amirabadi, A. Mottaghi, M. Sarafraz, H. Afshari, Free vibrational behavior of a conical sandwich shell with a functionally graded auxetic honeycomb core, Journal of Vibration and Control (2024) 10775463241240215.
[25] J.N. Reddy, Mechanics of laminated composite plates and shells: theory and analysis, CRC press2003.
[26] J.N. Reddy, Energy principles and variational methods in applied mechanics, John Wiley & Sons2017.
[27] H. Afshari, Effect of graphene nanoplatelet reinforcements on the dynamics of rotating truncated conical shells, Journal of the Brazilian Society of Mechanical Sciences and Engineering 42(10) (2020) 1-22.
[28] H. Afshari, H. Amirabadi, Vibration characteristics of rotating truncated conical shells reinforced with agglomerated carbon nanotubes, Journal of Vibration and Control 28(15-16) (2022) 1894-1914.
[29] C.W. Bert, M. Malik, Differential quadrature method in computational mechanics: a review, (1996).
[30] A. Darakhsh, S. Rahmani, H. Amirabadi, M. Sarafraz, H. Afshari, Dynamics of a three-phase polymer/fiber/CNT laminated nanocomposite conical shell with nonuniform thickness, Journal of the Brazilian Society of Mechanical Sciences and Engineering 46(1) (2024) 40.
[31] M. Irani Rahaghi, A. Mohebbi, H. Afshari, Longitudinal-torsional and two plane transverse vibrations of a composite Timoshenko rotor, (2016).
[32] K.M. Liew, T.Y. Ng, X. Zhao, Free vibration analysis of conical shells via the element-free kp-Ritz method, Journal of Sound and Vibration 281(3-5) (2005) 627-645.