223
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Layer-wise solutions for variable stiffness composite laminated sandwich plate using curvilinear fibers

Pages 5460-5477 | Received 30 May 2021, Accepted 12 Jul 2021, Published online: 23 Jul 2021

References

  • T. Kant and K. Swaminathan, Analytical solutions for free vibration of laminated composite and sandwich plates based on a higher order refined theory, Compos. Struct., vol. 53, no. 1, pp. 73–85, 2001. DOI: 10.1016/S0263-8223(00)00180-X.
  • A. K. Nayak, S. S. J. Moy, and R. A. Shenoi, Free vibration analysis of composite sandwich plates based on Reddy’s higher-order theory, Composites: Part B, vol. 33, no. 7, pp. 505–519, 2002. DOI: 10.1016/S1359-8368(02)00035-5.
  • S. Goswami, A finite element investigation on the effect of cross-sectional warping on flexural response of laminated composites and sandwiches using higher-order shear deformation theory, J. Reinf. Plast. Compos., vol. 24, no. 15, pp. 1587–1604, 2005. DOI: 10.1177/0731684405050398.
  • K. Malekzadeh and A. Sayyidmousavi, Free vibration analysis of sandwich plates with a uniformly distributed attached mass, flexible core, and different boundary conditions, J. Sandwich Struct. Mater., vol. 12, no. 6, pp. 709–732, 2010. DOI: 10.1177/1099636209343383.
  • M. Hachemi and S. M. Hamza-Cherif, Free vibration analysis of composite laminated and sandwich plate with circular cutout, J. Sandwich Struct. Mater., vol. 22, no. 8, pp. 2655–2691, 2020. DOI: 10.1177/1099636218811393.
  • A. Nabarrete, S. F. M. De Almeida, and J. S. Hansen, Sandwich-plate vibration analysis: three-layer quasi-three-dimensional finite element model, AIAA J., vol. 41, no. 8, pp. 1547–1555, 2003. DOI: 10.2514/2.2106.
  • A. J. M. Ferreira, Analysis of composite plates using a layerwise theory and multiquadrics discretization, Mech. Adv. Mater. Struct., vol. 12, no. 2, pp. 99–112, 2005. DOI: 10.1080/15376490490493952.
  • A. J. M. Ferreira, G. E. Fasshauer, R. C. Batra, et al., Static deformations and vibration analysis of composite and sandwich plates using a layerwise theory and RBF-PS discretizations with optimal shape parameter, Compos. Struct., vol. 86, no. 4, pp. 328–343, 2008. DOI: 10.1016/j.compstruct.2008.07.025.
  • D. H. Li, Y. Liu, and X. Zhang, Linear statics and free vibration sensitivity analysis of the composite sandwich plates based on a layerwise/solid-element method, Compos. Struct., vol. 106, pp. 175–200, 2013. DOI: 10.1016/j.compstruct.2013.05.056.
  • A. L. Araujo, V. S. Carvalhoa, C. M. Mota Soares, J. Belinha, and A. J. M. Ferreira, Vibration analysis of laminated soft core sandwich plates with piezoelectric sensors and actuators, Compos. Struct., vol. 151, pp. 91–98, 2016. DOI: 10.1016/j.compstruct.2016.03.013.
  • M. K. Rao and Y. M. Desai, Analytical solutions for vibrations of laminated and sandwich plates using mixed theory, Compos. Struct., vol. 63, no. 3–4, pp. 361–373, 2004. DOI: 10.1016/S0263-8223(03)00185-5.
  • W. Q. Chen and C. F. Lue, 3D free vibration analysis of cross-ply laminated plates with one pair of opposite edges simply supported, Compos. Struct., vol. 69, no. 1, pp. 77–87, 2005. DOI: 10.1016/j.compstruct.2004.05.015.
  • T. Ye, G. Jin, and Z. Su, Three-dimensional vibration analysis of sandwich and multilayered plates with general ply stacking sequences by a spectral-sampling surface method, Compos. Struct., vol. 176, pp. 1124–1142, 2017. DOI: 10.1016/j.compstruct.2017.06.008.
  • Z. Gurdal and R. Olmedo, In-plane response of laminates with spatially varying fiber orientations: variable stiffness concept, AIAA J., vol. 31, no. 4, pp. 751–758, 1993. DOI: 10.2514/3.11613.
  • R. Olmedo and Z. Gurdal, Buckling response of laminates with spatially varying fiber orientations, AIAA J., vol. 6, pp. 993–1567, 1993. DOI: 10.2514/6.1993-1567.
  • P. Ribeiro, H. Akhavan, A. Teter, and J. Warminski, A review on the mechanical behaviour of curvilinear fibre composite laminated panels, J. Compos. Mater., vol. 48, no. 22, pp. 2761–2777, 2014. DOI: 10.1177/0021998313502066.
  • A. Viglietti, E. Zappino, and E. Carrera. Analysis of variable angle tow composites structures using variable kinematic models, Composites Part B: Eng., vol. 171, pp. 272–283, 2019. DOI: 10.1016/j.compositesb.2019.03.072.
  • M. Hachemi, S. M. Hamza-Cherif, and A. Houmat, Free vibration analysis of variable stiffness composite laminate plate with circular cutout, Aust. J. Mech. Eng., vol. 18, no. 1, pp. 63–79, 2020. DOI: 10.1080/14484846.2017.1385694.
  • M. Hachemi and A. Guenanou, Effect of the fiber orientation angle on the vibrational behavior of symmetric and antisymmetric VSCL elliptical plates, Mech. Based Des. Struct. Mach., pp. 1–22, 2020. DOI: 10.1080/15397734.2020.1864399.
  • A. Houmat, Three-dimensional free vibration analysis of variable stiffness laminated composite rectangular plates, Compos. Struct., vol. 194, pp. 398–412, 2018. DOI: 10.1016/j.compstruct.2018.04.028.
  • S. Yazdani and P. Ribeiro, Modes of vibration of unsymmetric multilayered composite plates with curvilinear fibres, Proceedings of the 9th International Conference on Structural Dynamics, EURODYN 2014, Porto, Portugal, 30 June–2 July, 2014.
  • S. Yazdani and P. Ribeiro, A layerwise p-version finite element formulation for free vibration analysis of thick composite laminates with curvilinear fibres, Compos. Struct., vol. 120, pp. 531–542, 2015. DOI: 10.1016/j.compstruct.2014.10.030.
  • M. Hachemi, Vibration analysis of variable stiffness laminated composite sandwich plates, Mech. Adv. Mater. Struct., vol. 27, no. 19, pp. 1687–1700, 2020. DOI: 10.1080/15376494.2018.1524951.
  • A. Houmat, Three-dimensional solutions for free vibration of variable stiffness laminated sandwich plates with curvilinear fibers, J. Sandwich Struct. Mater., vol. 22, no. 3, pp. 896–925, 2018.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.