Investigating the effect of fluid-structure interaction on the vibrations of fiber-metal laminated cylindrical shells bonded by piezoelectric actuator and sensor layer

Khademi-kouhi, Morteza; Ghasemi Ghale-Bahman, Ahmad; Farrokh Abadi, Amin; Mohammad Aliha, Mohammad Reza; Jedi, Mahmoud

doi:10.52547/masm.2.4.449

Investigating the effect of fluid-structure interaction on the vibrations of fiber-metal laminated cylindrical shells bonded by piezoelectric actuator and sensor layer

Document Type : Original Article

Authors

morteza khademi-kouhi ¹

Ahmad Ghasemi Ghale-Bahman ²

amin Farrokh Abadi ³

Mohammad Reza Mohammad Aliha ⁴

Mahmoud Jedi ⁵

¹ Department of Aerospace, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran

² Faculty of Mechanical Engineering, Semnan university, Semnan, Iran

³ Department of Mechanical Engineering, Tarbiat Modares, Tehran, Iran

⁴ Department of Industrial Engineering, Iran University of Science and Technology, Tehran, Iran

⁵ Department of Mechanical Engineering, Malek Ashtar University of Technology, Tehran, Iran

https://doi.org/10.52547/masm.2.4.449

Abstract

This research examines the vibrations of multi-layer aluminum-metal fiber cylindrical shells with embedded piezoelectric layers that have fluid-structure interaction based on the three-dimensional elasticity theory. Using the state space approach, the equations of motion for simple support boundary conditions were obtained. The natural frequencies of the multi-layer metal fiber cylindrical shell containing the driving fluid were obtained by solving the special frequency equation. The effect of different parameters such as length to radius, fluid velocity, ambient wave number and radius to thickness was investigated for aluminum reinforced with carbon fibers. The volume ratio of composite/metal was considered constant. So far, no research has been done on multi-layered aluminum fiber-metal cylindrical shells with embedded piezoelectric layers that have fluid-structure interaction. It is a very new topic. The consistency and convergence of the results of this research was confirmed by comparing the results of natural frequencies reported in the literature, and the high accuracy of the results of this research is expressed.

Keywords

Vibration"

Cylindrical Shell

Fiber- Metal Laminate"

Elasticity Theory"

FEM"

[1] Şen I, Alderliesten RC, Benedictus R. Lay-up optimisation of fibre metal laminates based on fatigue crack propagation and residual strength. Composite Structures. 2015;124:77-87.

[2] Vlot A, Gunnink JW. Fibre metal laminates: an introduction: Springer Science & Business Media, 2011.

[3] Vlot A. Glare: history of the development of a new aircraft material: Springer Science & Business Media, 2007.

[4] Vermeeren C. An historic overview of the development of fibre metal laminates. Applied Composite Materials. 2003;10:189-205.

[5] Vogelesang LB, Vlot A. Development of fibre metal laminates for advanced aerospace structures. Journal of materials processing technology. 2000;103:1-5.

[6] Ravishankar H, Rengarajan R, Devarajan K, Kaimal B. Free vibration bahaviour of fiber metal laminates, hybrid composites, and functionally graded beams using finite element analysis. International Journal of Acoustics and Vibration. 2016;21:418-28.

[7] Lam K, Loy C. Effects of boundary conditions on frequencies of a multi-layered cylindrical shell. Journal of Sound and Vibration. 1995;188:363-84.

[8] Khdeir A, Reddy J. Influence of edge conditions on the modal characteristics of cross-ply laminated shells. Computers & structures. 1990;34:817-26.

[9] Ameri B, Moradi M, Talebitooti R. Effect of Honeycomb Core on Free Vibration Analysis of Fiber Metal Laminate (FML) Beams Compared to Conventional Composites. Composite Structures. 2021;261:113281.

[10] Chen Y, Fu Y, Zhong J, Tao C. Nonlinear dynamic responses of fiber-metal laminated beam subjected to moving harmonic loads resting on tensionless elastic foundation. Composites Part B: Engineering. 2017;131:253-9.

[11] Bellini C, Di Cocco V, Iacoviello F, Sorrentino L. Flexural strength of aluminium carbon/epoxy fibre metal laminates. Material Design & Processing Communications. 2019;1:e40.

[12] Botelho E, Campos A, De Barros E, Pardini L, Rezende M. Damping behavior of continuous fiber/metal composite materials by the free vibration method. Composites Part B: Engineering. 2005;37:255-63.

[13] Mohandes M, Ghasemi AR, Irani-Rahagi M, Torabi K, Taheri-Behrooz F. Development of beam modal function for free vibration analysis of FML circular cylindrical shells. Journal of Vibration and Control. 2018;24:3026-35.

[14] Fu Y, Chen Y, Zhong J. Analysis of nonlinear dynamic response for delaminated fiber–metal laminated beam under unsteady temperature field. Journal of Sound and Vibration. 2014;333:5803-16.

[15] Alibeigloo A, Kani AJAMM. 3D free vibration analysis of laminated cylindrical shell integrated piezoelectric layers using the differential quadrature method. 2010;34:4123-37.

[16] Khademi-kouhi M, Shakouri MJJoV, Sound. Analysis and investigation of the effect of elastic mechanical properties on the vibration behavior of cylindrical shells made of materials with gradient properties with different boundary conditions. 2022;11:110-8.

[17] Alibeigloo A, Kani A, Pashaei M. Elasticity solution for the free vibration analysis of functionally graded cylindrical shell bonded to thin piezoelectric layers. International Journal of Pressure Vessels and Piping. 2012;89:98-111.

[18] Alibeigloo A. Thermoelastic solution for static deformations of functionally graded cylindrical shell bonded to thin piezoelectric layers. Composite Structures. 2011;93:961-72.

[19] Khorshidi K, Karimi M, Bahrami M, Ghasemi M, Soltannia BJAOR. Fluid-structure interaction analysis of vibrating microplates in interaction with sloshing fluids with free surface. 2022;121:103088.

[20] Ghasemi Ghalebahman A, Bigdeli-Yeganeh M, Cheloeian E, Khademi-Kouhi M. Free vibration of piezoelectric boron nitride nanotube-based composite cylindrical micropanel embedded in an elastic medium subjected to electric potential via modified strain gradient theory. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. 2020;234:2309-28.

[21] Ghasemi AR, Mohandes M, Dimitri R, Tornabene F. Agglomeration effects on the vibrations of CNTs/fiber/polymer/metal hybrid laminates cylindrical shell. Composites Part B: Engineering. 2019;167:700-16.

[22] Khanahmadi M, Gholhaki M, Ghasemi-Ghalebahman A, Khademi-Kouhi MJJoV, Sound. Damage detection in laminated composite plates using wavelet analysis analytical method. 2022;10:144-56.

[23] Shen H-S, Yang D-Q. Nonlinear vibration of anisotropic laminated cylindrical shells with piezoelectric fiber reinforced composite actuators. Ocean Engineering. 2014;80:36-49.

[24] Shen H-S, Xiang Y. Nonlinear vibration of nanotube-reinforced composite cylindrical panels resting on elastic foundations in thermal environments. Composite Structures. 2014;111:291-300.

[25] Shen H-S. Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments. Composite Structures. 2009;91:9-19.

[26] Zhu J-q, Chen C, Shen Y, Wang S. Dynamic stability of functionally graded piezoelectric circular cylindrical shells. Materials Letters. 2005;59:477-85.

[27] Khorshidi K, Taheri M, Ghasemi MJMoACS. Sensitivity analysis of vibrating laminated composite rec-tangular plates in interaction with inviscid fluid using efast method. 2020;7:219-31.

[28] Khorshidi K, Karimi MJMoACS. Fluid-structure interaction of vibrating composite piezoelectric plates using exponential shear deformation theory. 2020;7:59-69.

[29] Khorshidi K, Karimi MJOE. Analytical modeling for vibrating piezoelectric nanoplates in interaction with inviscid fluid using various modified plate theories. 2019;181:267-80.

[30] Wu X-H, Chen C, Shen Y-P, Tian X-G. A high order theory for functionally graded piezoelectric shells. International Journal of Solids and Structures. 2002;39:5325-44.

[31] Houmat AJCS. Three-dimensional free flexural vibrations of fluid-filled functionally graded circular cylindrical shell with curvilinear radius variation. 2021;272:114263.

[32] Baghlani A, Khayat M, Dehghan SMJAMM. Free vibration analysis of FGM cylindrical shells surrounded by Pasternak elastic foundation in thermal environment considering fluid-structure interaction. 2020;78:550-75.

[33] Amabili M, Paı¨ doussis MPJAMR. Review of studies on geometrically nonlinear vibrations and dynamics of circular cylindrical shells and panels, with and without fluid-structure interaction. 2003;56:349-81.

[34] Dai H-L, Luo W-F, Dai T, Luo W-FJCS. Exact solution of thermoelectroelastic behavior of a fluid-filled FGPM cylindrical thin-shell. 2017;162:411-23.

[35] Kim Y-WJAMS. Effect of partial elastic foundation on free vibration of fluid-filled functionally graded cylindrical shells. 2015;31:920-30.

[36] Shah AG, Mahmood T, Naeem MN, Arshad SHJAm. Vibration characteristics of fluid-filled cylindrical shells based on elastic foundations. 2011;216:17-28.

[37] Tj HG, Mikami T, Kanie S, Sato MJT-ws. Free vibrations of fluid-filled cylindrical shells on elastic foundations. 2005;43:1746-62.