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Acta Mechanica

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14-02-2020 | Original Paper

On the static and dynamic stability of spherical sandwich shell panels with viscoelastic material core and laminated composite face sheets under uniaxial and biaxial harmonic excitations

Authors: Deepak Kumar Biswal, Sukesh Chandra Mohanty

Published in: Acta Mechanica | Issue 5/2020

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Abstract

The buckling and parametric resonance characteristics of laminated composite spherical sandwich shell panels with viscoelastic material (VEM) core are investigated in the present analysis considering full geometric nonlinearity in the Green–Lagrange sense. The study includes the longitudinal strain and normal strain in the transverse direction along with transverse shear deformation of the VEM core. The core displacements are considered to be varying linearly along the thickness and those of the face sheets follow first-order shear deformation theory. An eight-noded sandwich shell finite element of the serendipity family is adopted to discretize the sandwich shell panel domain. The finite element-based equation of motion is derived using Hamilton’s principle in the form of the Mathieu–Hill-type equation. The dynamic instability regions are obtained by applying Hsu’s criteria-based Saito–Otomi conditions to the transformed equation motion. An in-house finite element-based code is developed in the MATLAB platform to solve the stability problem and to establish the stability regions. A parametric study is carried out to investigate the influence of different system parameters on the critical buckling load and the parametric resonance of the sandwich shell panels. It is noted that an increase in core and constraining layer thicknesses increases the critical buckling load of the sandwich shell panels. The stability boundaries are observed to shift toward a higher-excitation-frequency region in the stability diagram with an increase in constraining layer thickness and a decrease in aspect ratio.

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Rao, K.M.: Buckling analysis of anisotropic sandwich plates faced with fiber-reinforced plastics. AIAA J 23, 1247–53 (1985). https://doi.org/10.2514/3.9073 CrossRefMATH

Zenkour, A.M.: A comprehensive analysis of functionally graded sandwich plates: Part 2-Buckling and free vibration. Int. J. Solids Struct. 42, 5243–58 (2005). https://doi.org/10.1016/j.ijsolstr.2005.02.016 CrossRefMATH

Sharnappa, S., Ganesan, N., Sethuraman, R.: Buckling and free vibration analysis of magnetic constrained layer damping (MCLD) beam. Finite Elem. Anal. Des. 45, 156–62 (2009). https://doi.org/10.1016/j.finel.2008.09.005 MathSciNetCrossRef

Shariyat, M.: A generalized high-order global-local plate theory for nonlinear bending and buckling analyses of imperfect sandwich plates subjected to thermo-mechanical loads. Compos. Struct. 92, 130–43 (2010). https://doi.org/10.1016/j.compstruct.2009.07.007 CrossRef

Zenkour, A.M., Sobhy, M.: Thermal buckling of various types of FGM sandwich plates. Compos. Struct. 93, 93–102 (2010). https://doi.org/10.1016/j.compstruct.2010.06.012 CrossRef

El Meiche, N., Tounsi, A., Ziane, N., Mechab, I., El, E.A.: A new hyperbolic shear deformation theory for buckling and vibration of functionally graded sandwich plate. Int. J. Mech. Sci. 53, 237–47 (2011). https://doi.org/10.1016/j.ijmecsci.2011.01.004 CrossRef

Shariyat, M.: A nonlinear double-superposition global-local theory for dynamic buckling of imperfect viscoelastic composite/sandwich plates: a hierarchical constitutive model. Compos. Struct. 93, 1890–9 (2011). https://doi.org/10.1016/j.compstruct.2011.02.005 CrossRef

Giunta, G., Metla, N., Koutsawa, Y., Belouettar, S.: Free vibration and stability analysis of three-dimensional sandwich beams via hierarchical models. Compos. Part B Eng. 47, 326–38 (2013). https://doi.org/10.1016/j.compositesb.2012.11.017 CrossRef

Ranjbaran, A., Khoshravan, M.R., Kharazi, M.: Buckling analysis of sandwich plate using layerwise theory. J. Mech. Sci. Technol. 28, 2769–77 (2014). https://doi.org/10.1007/s12206-014-0512-9 CrossRef

10.

Ranjbaran, A., Khoshravan, M.R., Kharazi, M.: Analysis of buckling of sandwich plates with viscoelastic core using layerwise theory. Appl. Mech. Mater. 798, 462–9 (2015). https://doi.org/10.4028/www.scientific.net/AMM.798.462 CrossRef

11.

Chan, H.C., Foo, O.: Buckling of multilayer sandwich plates by the spline finite strip method. Int. J. Mech. Sci. 19, 447–56 (1977)CrossRef

12.

Mohammadimehr, M., Shahedi, S.: High-order buckling and free vibration analysis of two types sandwich beam including AL or PVC-foam flexible core and CNTs reinforced nanocomposite face sheets using GDQM. Compos Part B Eng 108, 91–107 (2017). https://doi.org/10.1016/j.compositesb.2016.09.040 CrossRef

13.

Joseph, S.V., Mohanty, S.: Temperature effects on buckling and vibration characteristics of sandwich plate with viscoelastic core and functionally graded material constraining layer. J Sandw Struct Mater 2017:109963621772230. https://doi.org/10.1177/1099636217722309

14.

Lin, C.Y., Chen, L.W.: Dynamic stability of rotating composite beams with a viscoelastic core. Compos. Struct. 58, 185–94 (2002). https://doi.org/10.1016/S0263-8223200127-7 CrossRef

15.

Lin, C.-Y., Chen, L.-W.: Dynamic stability of rotating pre-twisted blades with a constrained damping layer. Compos. Struct. 61, 235–45 (2003). https://doi.org/10.1016/S0263-82230300048-5 CrossRef

16.

Wang, H.-J., Chen, L.-W.: Axisymmetric dynamic stability of rotating sandwich circular plates. J. Vib. Acoust. 126, 407 (2004). https://doi.org/10.1115/1.1688765 CrossRef

17.

Yeh, J.Y., Chen, L.W., Wang, C.C.: Dynamic stability of a sandwich beam with a constrained layer and electrorheological fluid core. Compos. Struct. 64, 47–54 (2004). https://doi.org/10.1016/S0263-8223(03)00212-5 CrossRef

18.

Tabassian, R., Rezaeepazhand, J.: Dynamic stability of smart sandwich beams with electro-rheological core resting on elastic foundation. J. Sandw. Struct. Mater. 15, 25–44 (2012). https://doi.org/10.1177/1099636212461494 CrossRef

19.

Sofiyev, A.H.: Influences of shear stresses on the dynamic instability of exponentially graded sandwich cylindrical shells. Compos. Part B Eng. 77, 349–62 (2015). https://doi.org/10.1016/j.compositesb.2015.03.040 CrossRef

20.

Yeh, J.Y., Chen, L.W.: Dynamic stability of a sandwich plate with a constraining layer and electrorheological fluid core. J. Sound Vib. 285, 637–52 (2005). https://doi.org/10.1016/j.jsv.2004.08.033 CrossRef

21.

Yeh, J.Y., Chen, L.W.: Dynamic stability analysis of a rectangular orthotropic sandwich plate with an electrorheological fluid core. Compos. Struct. 72, 33–41 (2006). https://doi.org/10.1016/j.compstruct.2004.10.010 CrossRef

22.

Kolahchi, R., Safari, M., Esmailpour, M.: Dynamic stability analysis of temperature-dependent functionally graded CNT-reinforced visco-plates resting on orthotropic elastomeric medium. Compos. Struct. 150, 255–65 (2016). https://doi.org/10.1016/j.compstruct.2016.05.023 CrossRef

23.

Heydarpour, Y., Malekzadeh, P.: Dynamic stability of rotating FG-CNTRC cylindrical shells under combined static and periodic axial loads. Int. J. Struct. Stab. Dyn. 18, 1850151 (2018). https://doi.org/10.1142/S0219455418501511 MathSciNetCrossRef

24.

Biswal, D.K., Mohanty, S.C.: Free vibration and damping characteristics study of doubly curved sandwich shell panels with viscoelastic core and isotropic/laminated constraining layer. Eur. J. Mech.-A/Solids 72, 424–39 (2018). https://doi.org/10.1016/j.euromechsol.2018.06.008 MathSciNetCrossRefMATH

25.

Hsu, C.S.: On the parametric excitation of a dynamic system having multiple degrees of freedom. J. Appl. Mech. Trans. ASME 30, 367–72 (1963). https://doi.org/10.1115/1.3636563 MathSciNetCrossRefMATH

26.

Saito, H., Otomi, K.: Parametric response of viscoelastically supported beams. J. Sound Vib. 63, 169–78 (1979). https://doi.org/10.1016/0022-460X(79)90874-5 CrossRefMATH

27.

Araujo, A.L., Mota Soares, C.M., Mota Soares, C.A.: Finite element model for hybrid active-passive damping analysis of anisotropic laminated sandwich structures. J. Sandw. Struct. Mater. 12, 397–419 (2010). https://doi.org/10.1177/1099636209104534 CrossRef

28.

Duigou, L., Mostafa Daya, E., Potier-Ferry, M.: Iterative algorithms for non-linear eigenvalue problems. Application to vibrations of viscoelastic shells. Comput. Methods Appl. Mech. Eng. 192, 1323–35 (2003). https://doi.org/10.1016/S0045-7825(02)00641-2 CrossRefMATH

29.

Matsunaga, H.: Vibration and stability of thick simply supported shallow shells subjected to in plane stress. J. Sound Vib. 225, 41–60 (1999)CrossRef

30.

Sahu, S.K., Datta, P.K.: Parametric resonance characteristics of laminated composite doubly curved shells subjected to non-uniform loading. J. Reinf. Plast. Compos. 20, 1556–1576 (2001) CrossRef

31.

Kaw, A.K.: Composite, Second edn. CRC Press, Boca Raton (2006)MATH

Title: On the static and dynamic stability of spherical sandwich shell panels with viscoelastic material core and laminated composite face sheets under uniaxial and biaxial harmonic excitations
Authors: Deepak Kumar Biswal
Sukesh Chandra Mohanty
Publication date: 14-02-2020
Publisher: Springer Vienna
Published in: Acta Mechanica / Issue 5/2020
Print ISSN: 0001-5970
Electronic ISSN: 1619-6937
DOI: https://doi.org/10.1007/s00707-020-02618-6

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On the static and dynamic stability of spherical sandwich shell panels with viscoelastic material core and laminated composite face sheets under uniaxial and biaxial harmonic excitations

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