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Erschienen in: Acta Mechanica 7/2023

29.03.2023 | Original Paper

On the dynamic behavior interpretation of sandwich beams with axially graded face sheets and magnetorheological core using modal strain energy approach

verfasst von: Amirhossein Omidi Soroor, Mojtaba Asgari, Hassan Haddadpour

Erschienen in: Acta Mechanica | Ausgabe 7/2023

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Abstract

The free vibration properties of a sandwich beam with axially graded facings and a magnetorheological fluid core are studied. The facings and core are modeled using the Euler–Bernoulli and Timoshenko beam theories, respectively. The problem is discretized using the Rayleigh–Ritz method. The approached complex eigenmodes method is implemented for solving the resulting nonlinear eigenvalue problem numerically. The effects of multiple parameters, i.e., facings' material distribution, functionally graded material's gradient index, boundary conditions, constraining and core layers’ thickness, and magnetic field effect on the free vibration properties, are thoroughly studied. The obtained results reveal these parameters' significant impact on the frequency and loss factor of the system.
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Literatur
1.
Zurück zum Zitat Omidi Soroor, A.: Dynamic response analysis of a three-layered circular plate with magnetorheological fluid core under low velocity impact loading. In: Department of aerospace engineering. Sharif University of Technology (2019) Omidi Soroor, A.: Dynamic response analysis of a three-layered circular plate with magnetorheological fluid core under low velocity impact loading. In: Department of aerospace engineering. Sharif University of Technology (2019)
2.
Zurück zum Zitat Njim, E.K., Al-Waily, M., Bakhy, S.H.: A review of the recent research on the experimental tests of functionally graded sandwich panels. J. Mech. Eng. Res. Dev. 44(3), 420–441 (2021) Njim, E.K., Al-Waily, M., Bakhy, S.H.: A review of the recent research on the experimental tests of functionally graded sandwich panels. J. Mech. Eng. Res. Dev. 44(3), 420–441 (2021)
3.
Zurück zum Zitat Asgari, M., Kouchakzadeh, M.A.: Aeroelastic characteristics of magneto-rheological fluid sandwich beams in supersonic airflow. Compos. Struct. 143, 93–102 (2016)CrossRef Asgari, M., Kouchakzadeh, M.A.: Aeroelastic characteristics of magneto-rheological fluid sandwich beams in supersonic airflow. Compos. Struct. 143, 93–102 (2016)CrossRef
4.
Zurück zum Zitat Asgari, M., et al.: Aeroelastic analysis of a sandwich panel with partially treated magneto-rheological fluid core. J. Intell. Mater. Syst. Struct. 30(1), 140–154 (2019)CrossRef Asgari, M., et al.: Aeroelastic analysis of a sandwich panel with partially treated magneto-rheological fluid core. J. Intell. Mater. Syst. Struct. 30(1), 140–154 (2019)CrossRef
5.
Zurück zum Zitat Yu, S.-C., Huang, S.-C.: Vibration of a three-layered viscoelastic sandwich circular plate. Int. J. Mech. Sci. 43(10), 2215–2236 (2001)CrossRefMATH Yu, S.-C., Huang, S.-C.: Vibration of a three-layered viscoelastic sandwich circular plate. Int. J. Mech. Sci. 43(10), 2215–2236 (2001)CrossRefMATH
6.
Zurück zum Zitat Grewal, J.S., Sedaghati, R., Esmailzadeh, E.: Vibration analysis and design optimization of sandwich beams with constrained viscoelastic core layer. J. Sandwich Struct. Mater. 15(2), 203–228 (2013)CrossRef Grewal, J.S., Sedaghati, R., Esmailzadeh, E.: Vibration analysis and design optimization of sandwich beams with constrained viscoelastic core layer. J. Sandwich Struct. Mater. 15(2), 203–228 (2013)CrossRef
7.
Zurück zum Zitat Lepoittevin, G., Kress, G.: Optimization of segmented constrained layer damping with mathematical programming using strain energy analysis and modal data. Mater. Des. 31(1), 14–24 (2010)CrossRef Lepoittevin, G., Kress, G.: Optimization of segmented constrained layer damping with mathematical programming using strain energy analysis and modal data. Mater. Des. 31(1), 14–24 (2010)CrossRef
8.
Zurück zum Zitat Ramkumar, K., Ganesan, N.: Vibration and damping of composite sandwich box column with viscoelastic/electrorheological fluid core and performance comparison. Mater. Des. 30(8), 2981–2994 (2009)CrossRef Ramkumar, K., Ganesan, N.: Vibration and damping of composite sandwich box column with viscoelastic/electrorheological fluid core and performance comparison. Mater. Des. 30(8), 2981–2994 (2009)CrossRef
9.
Zurück zum Zitat Gröhlich, M., et al.: Viscoelastic damping design—thermal impact on a constrained layer damping treatment. Mater. Des. 207, 109885 (2021)CrossRef Gröhlich, M., et al.: Viscoelastic damping design—thermal impact on a constrained layer damping treatment. Mater. Des. 207, 109885 (2021)CrossRef
10.
Zurück zum Zitat Ghorbanpour Arani, A., et al.: Vibration behavior of visco-elastically coupled sandwich beams with magnetorheological core and three-phase carbon nanotubes/fiber/polymer composite facesheets subjected to external magnetic field. J. Sandwich Struct. Mater. 21(7), 2194–2218 (2017)CrossRef Ghorbanpour Arani, A., et al.: Vibration behavior of visco-elastically coupled sandwich beams with magnetorheological core and three-phase carbon nanotubes/fiber/polymer composite facesheets subjected to external magnetic field. J. Sandwich Struct. Mater. 21(7), 2194–2218 (2017)CrossRef
11.
Zurück zum Zitat Mikhasev, G.I., et al.: Assessment of dynamic characteristics of thin cylindrical sandwich panels with magnetorheological core. J. Intell. Mater. Syst. Struct. 30(18–19), 2748–2769 (2019)CrossRef Mikhasev, G.I., et al.: Assessment of dynamic characteristics of thin cylindrical sandwich panels with magnetorheological core. J. Intell. Mater. Syst. Struct. 30(18–19), 2748–2769 (2019)CrossRef
13.
Zurück zum Zitat Aboutalebi, R., Eshaghi, M., Taghvaeipour, A.: Nonlinear vibration analysis of circular/annular/sector sandwich panels incorporating magnetorheological fluid operating in the post-yield region. J. Intell. Mater. Syst. Struct. 32(7), 781–796 (2020)CrossRef Aboutalebi, R., Eshaghi, M., Taghvaeipour, A.: Nonlinear vibration analysis of circular/annular/sector sandwich panels incorporating magnetorheological fluid operating in the post-yield region. J. Intell. Mater. Syst. Struct. 32(7), 781–796 (2020)CrossRef
14.
Zurück zum Zitat Wang, Q., et al.: Machine learning aided stochastic structural free vibration analysis for functionally graded bar-type structures. Thin-Walled Struct. 144, 106315 (2019)CrossRef Wang, Q., et al.: Machine learning aided stochastic structural free vibration analysis for functionally graded bar-type structures. Thin-Walled Struct. 144, 106315 (2019)CrossRef
15.
Zurück zum Zitat Torki, M.E., et al.: Dynamic stability of cantilevered functionally graded cylindrical shells under axial follower forces. Thin-Walled Struct. 79, 138–146 (2014)CrossRef Torki, M.E., et al.: Dynamic stability of cantilevered functionally graded cylindrical shells under axial follower forces. Thin-Walled Struct. 79, 138–146 (2014)CrossRef
16.
Zurück zum Zitat Navazi, H., Haddadpour, H.: Nonlinear cylindrical bending analysis of shear deformable functionally graded plates under different loadings using analytical methods. Int. J. Mech. Sci. 50(12), 1650–1657 (2008)CrossRef Navazi, H., Haddadpour, H.: Nonlinear cylindrical bending analysis of shear deformable functionally graded plates under different loadings using analytical methods. Int. J. Mech. Sci. 50(12), 1650–1657 (2008)CrossRef
17.
Zurück zum Zitat Haddadpour, H., Mahmoudkhani, S., Navazi, H.: Free vibration analysis of functionally graded cylindrical shells including thermal effects. Thin-walled Struct. 45(6), 591–599 (2007)CrossRef Haddadpour, H., Mahmoudkhani, S., Navazi, H.: Free vibration analysis of functionally graded cylindrical shells including thermal effects. Thin-walled Struct. 45(6), 591–599 (2007)CrossRef
18.
Zurück zum Zitat Fadaee, M.: A new reformulation of vibration suppression equations of functionally graded magnetorheological fluid sandwich beam. Appl. Math. Model. 74, 469–482 (2019)MathSciNetCrossRefMATH Fadaee, M.: A new reformulation of vibration suppression equations of functionally graded magnetorheological fluid sandwich beam. Appl. Math. Model. 74, 469–482 (2019)MathSciNetCrossRefMATH
19.
Zurück zum Zitat Bhangale, R.K., Ganesan, N.: Thermoelastic buckling and vibration behavior of a functionally graded sandwich beam with constrained viscoelastic core. J. Sound Vib. 295(1–2), 294–316 (2006)CrossRef Bhangale, R.K., Ganesan, N.: Thermoelastic buckling and vibration behavior of a functionally graded sandwich beam with constrained viscoelastic core. J. Sound Vib. 295(1–2), 294–316 (2006)CrossRef
20.
Zurück zum Zitat Yang, C., et al.: A modified Fourier-Ritz solution for vibration and damping analysis of sandwich plates with viscoelastic and functionally graded materials. Int. J. Mech. Sci. 106, 1–18 (2016)CrossRef Yang, C., et al.: A modified Fourier-Ritz solution for vibration and damping analysis of sandwich plates with viscoelastic and functionally graded materials. Int. J. Mech. Sci. 106, 1–18 (2016)CrossRef
21.
Zurück zum Zitat Moita, J.S., et al.: Vibration analysis of functionally graded material sandwich structures with passive damping. Compos. Struct. 183(1), 407–415 (2018)CrossRef Moita, J.S., et al.: Vibration analysis of functionally graded material sandwich structures with passive damping. Compos. Struct. 183(1), 407–415 (2018)CrossRef
22.
Zurück zum Zitat Joseph, S.V., Mohanty, S.C.: Free vibration and parametric instability of viscoelastic sandwich plates with functionally graded material constraining layer. Acta Mech. 230(8), 2783–2798 (2019)MathSciNetCrossRefMATH Joseph, S.V., Mohanty, S.C.: Free vibration and parametric instability of viscoelastic sandwich plates with functionally graded material constraining layer. Acta Mech. 230(8), 2783–2798 (2019)MathSciNetCrossRefMATH
23.
Zurück zum Zitat Zhang, Y., et al.: Free vibration and damping analysis of porous functionally graded sandwich plates with a viscoelastic core. Compos. Struct. 244, 112298 (2020)CrossRef Zhang, Y., et al.: Free vibration and damping analysis of porous functionally graded sandwich plates with a viscoelastic core. Compos. Struct. 244, 112298 (2020)CrossRef
24.
Zurück zum Zitat Jalali, S.K., Naei, M.H., Poorsolhjouy, A.: Thermal stability analysis of circular functionally graded sandwich plates of variable thickness using pseudo-spectral method. Mater. Des. 31(10), 4755–4763 (2010)CrossRef Jalali, S.K., Naei, M.H., Poorsolhjouy, A.: Thermal stability analysis of circular functionally graded sandwich plates of variable thickness using pseudo-spectral method. Mater. Des. 31(10), 4755–4763 (2010)CrossRef
25.
Zurück zum Zitat Li, X., et al.: Bending, buckling and vibration of axially functionally graded beams based on nonlocal strain gradient theory. Compos. Struct. 165, 250–265 (2017)CrossRef Li, X., et al.: Bending, buckling and vibration of axially functionally graded beams based on nonlocal strain gradient theory. Compos. Struct. 165, 250–265 (2017)CrossRef
26.
Zurück zum Zitat Babilio, E.: Dynamics of an axially functionally graded beam under axial load. Eur. Phys. J. Spec. Top. 222(7), 1519–1539 (2013)CrossRef Babilio, E.: Dynamics of an axially functionally graded beam under axial load. Eur. Phys. J. Spec. Top. 222(7), 1519–1539 (2013)CrossRef
27.
Zurück zum Zitat Yin, B., et al.: Modeling via peridynamics for large deformation and progressive fracture of hyperelastic materials. Comput. Methods Appl. Mech. Eng. 403, 115739 (2023)MathSciNetCrossRefMATH Yin, B., et al.: Modeling via peridynamics for large deformation and progressive fracture of hyperelastic materials. Comput. Methods Appl. Mech. Eng. 403, 115739 (2023)MathSciNetCrossRefMATH
28.
Zurück zum Zitat Zhang, Y., et al.: Modeling the postbuckling behavior of thermal-resistant ultrathin films attached to glass substrate. Compos. Struct. 206, 279–287 (2018)CrossRef Zhang, Y., et al.: Modeling the postbuckling behavior of thermal-resistant ultrathin films attached to glass substrate. Compos. Struct. 206, 279–287 (2018)CrossRef
29.
Zurück zum Zitat Arvin, H., Sadighi, M., Ohadi, A.R.: A numerical study of free and forced vibration of composite sandwich beam with viscoelastic core. Compos. Struct. 92(4), 996–1008 (2010)CrossRef Arvin, H., Sadighi, M., Ohadi, A.R.: A numerical study of free and forced vibration of composite sandwich beam with viscoelastic core. Compos. Struct. 92(4), 996–1008 (2010)CrossRef
30.
Zurück zum Zitat Sher, B.R., Moreira, R.A.S.: Dimensionless analysis of constrained damping treatments. Compos. Struct. 99, 241–254 (2013)CrossRef Sher, B.R., Moreira, R.A.S.: Dimensionless analysis of constrained damping treatments. Compos. Struct. 99, 241–254 (2013)CrossRef
31.
Zurück zum Zitat Lin, C.-Y., Chen, L.-W.: Dynamic stability of a rotating beam with a constrained damping layer. J. Sound Vib. 267(2), 209–225 (2003)CrossRef Lin, C.-Y., Chen, L.-W.: Dynamic stability of a rotating beam with a constrained damping layer. J. Sound Vib. 267(2), 209–225 (2003)CrossRef
32.
Zurück zum Zitat Talebitooti, M., Fadaee, M.: Effects of carbon nanotube reinforcements on vibration suppression of magnetorheological fluid sandwich beam. J. Intell. Mater. Syst. Struct. 30(7), 1053–1069 (2019)CrossRef Talebitooti, M., Fadaee, M.: Effects of carbon nanotube reinforcements on vibration suppression of magnetorheological fluid sandwich beam. J. Intell. Mater. Syst. Struct. 30(7), 1053–1069 (2019)CrossRef
33.
Zurück zum Zitat Arikoglu, A., Ozkol, I.: Vibration analysis of composite sandwich beams with viscoelastic core by using differential transform method. Compos. Struct. 92(12), 3031–3039 (2010)CrossRef Arikoglu, A., Ozkol, I.: Vibration analysis of composite sandwich beams with viscoelastic core by using differential transform method. Compos. Struct. 92(12), 3031–3039 (2010)CrossRef
34.
35.
Zurück zum Zitat Eshaghi, M., Rakheja, S., Sedaghati, R.: An accurate technique for pre-yield characterization of MR fluids. Smart Mater. Struct. 24(6), 065018 (2015)CrossRef Eshaghi, M., Rakheja, S., Sedaghati, R.: An accurate technique for pre-yield characterization of MR fluids. Smart Mater. Struct. 24(6), 065018 (2015)CrossRef
36.
Zurück zum Zitat Rao, S.S.: Vibration of Continuous Systems, vol. 464. Wiley, New York (2007) Rao, S.S.: Vibration of Continuous Systems, vol. 464. Wiley, New York (2007)
37.
Zurück zum Zitat Omidi Soroor, A., Asgari, M., Haddadpour, H.: Effect of axially graded constraining layer on the free vibration properties of three layered sandwich beams with magnetorheological fluid core. Compos Struct 255, 112899 (2021)CrossRef Omidi Soroor, A., Asgari, M., Haddadpour, H.: Effect of axially graded constraining layer on the free vibration properties of three layered sandwich beams with magnetorheological fluid core. Compos Struct 255, 112899 (2021)CrossRef
38.
Zurück zum Zitat Navazi, H., Bornassi, S., Haddadpour, H.: Vibration analysis of a rotating magnetorheological tapered sandwich beam. Int. J. Mech. Sci. 122, 308–317 (2017)CrossRef Navazi, H., Bornassi, S., Haddadpour, H.: Vibration analysis of a rotating magnetorheological tapered sandwich beam. Int. J. Mech. Sci. 122, 308–317 (2017)CrossRef
39.
Zurück zum Zitat Bilasse, M., Daya, E., Azrar, L.: Linear and nonlinear vibrations analysis of viscoelastic sandwich beams. J. Sound Vib. 329(23), 4950–4969 (2010)CrossRef Bilasse, M., Daya, E., Azrar, L.: Linear and nonlinear vibrations analysis of viscoelastic sandwich beams. J. Sound Vib. 329(23), 4950–4969 (2010)CrossRef
Metadaten
Titel
On the dynamic behavior interpretation of sandwich beams with axially graded face sheets and magnetorheological core using modal strain energy approach
verfasst von
Amirhossein Omidi Soroor
Mojtaba Asgari
Hassan Haddadpour
Publikationsdatum
29.03.2023
Verlag
Springer Vienna
Erschienen in
Acta Mechanica / Ausgabe 7/2023
Print ISSN: 0001-5970
Elektronische ISSN: 1619-6937
DOI
https://doi.org/10.1007/s00707-023-03534-1

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