Free Vibration Analysis of Circular Perforated Laminated Plates

Notice

This is an unedited manuscript accepted for publication and provided as an Article in Press for early access at the author’s request. The article will undergo copyediting, typesetting, and galley proof review before final publication. Please be aware that errors may be identified during production that could affect the content. All legal disclaimers of the journal apply.

Year : 2026 | Volume : 14 | 02 | Page :
    By

    M. L. Pavan Kishore,

  • K. Manohar Reddy,

  • M. Avinash,

  • G. Srinivasa Gupta,

  1. Assistant Professor, Department of Mechanical Engineering, Faculty of Science and Technology, ICFAI Foundation for Higher Education (Icfai Tech), IFHE, Hyderabad, Telangana, India
  2. Professor, Department of Mechanical Engineering, P.V.K.K. Institute of Technology Anantapur, Andhra Pradesh, India
  3. Associate Professor, Department of Mechanical Engineering, Faculty of Science and Technology, ICFAI Foundation for Higher Education (Icfai Tech), IFHE, Hyderabad, Telangana, India
  4. Professor, Department of Mechanical Engineering, VNR Vignana jyothi Institute of Engineering and Technology, Hyderabad, Telangana, India

Abstract

This study investigates the free vibration characteristics of circular perforated laminated composite plates. A finite element model is created to analyze the effects of perforation patterns, hole sizes, and laminate configurations on the natural frequencies and mode shapes of these structures. The model incorporates shear deformation theory and accounts for the anisotropic nature of composite materials. Parametric studies were held to examine how varying perforation geometries, including hole diameter, spacing, and arrangement, influence the dynamic behavior of the plates. Additionally, the impact of different fiber orientations and stacking sequences in the laminate layers is explored. Results indicate that perforation patterns significantly alter the plate’s stiffness and mass distribution, leading to changes in natural frequencies and mode shapes compared to non-perforated plates. The findings provide insights into optimizing the design of perforated laminated plates for specific vibration characteristics in engineering applications. This research contributes to understanding the complex interactions among material properties, structural geometry, and dynamic response in perforated composite structures.

Keywords: Circular perforated plates, Finite element modelling, Free vibration analysis, Laminated composites, Mode shapes, Natural frequencies, Perforation patterns.

How to cite this article:
M. L. Pavan Kishore, K. Manohar Reddy, M. Avinash, G. Srinivasa Gupta. Free Vibration Analysis of Circular Perforated Laminated Plates. Journal of Polymer & Composites. 2026; 14(02):-.
How to cite this URL:
M. L. Pavan Kishore, K. Manohar Reddy, M. Avinash, G. Srinivasa Gupta. Free Vibration Analysis of Circular Perforated Laminated Plates. Journal of Polymer & Composites. 2026; 14(02):-. Available from: https://journals.stmjournals.com/jopc/article=2026/view=239725


References

  1. Leissa, A.W. (1969). Vibration of plates. NASA SP-160.
  2. Mindlin, R.D. (1951). Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates. Journal of Applied Mechanics, 18, 31-38.
  3. Whitney, J.M., & Leissa, A.W. (1969). Analysis of heterogeneous anisotropic plates. Journal of Applied Mechanics, 36(2), 261-266.
  4. Bert, C.W., & Chen, T.L.C. (1978). Effect of shear deformation on vibration of antisymmetric angle-ply laminated rectangular plates. International Journal of Solids and Structures, 14(6), 465–473.
  5. Reddy, J.N., & Chao, W.C. (1981). Large-deflection and large-amplitude free vibrations of laminated composite-material plates. Computers & Structures, 13(3), 341–347.
  6. Reddy, J.N. (1984). A simple higher-order theory for laminated composite plates. Journal of Applied Mechanics, 51(4), 745–752.
  7. Noor, A.K., & Burton, W.S. (1989). Assessment of computational models for multi-layered composite shells. Applied Mechanics Reviews, 42(1), 1–13.
  8. Liew, K.M., Xiang, Y., & Kitipornchai, S. (1994). Research on thick plate vibration: a literature survey. Journal of Sound and Vibration, 180(1), 163–176.
  9. Huang, C.S., & Sakiyama, T. (1999). Free vibration analysis of rectangular plates with variously-shaped holes. Journal of Sound and Vibration, 226(4), 769–786.
  10. Jain, R.K., & Soni, S.R. (2003). Free vibration of thick circular plates with circular cutouts. Journal of Sound and Vibration, 264(5), 1187–1192.
  11. Jhung, M.J., & Jo, J.C. (2006). Free vibration analysis of a perforated plate with a square penetration pattern using equivalent material properties. Nuclear Engineering and Technology, 38(8), 789–796.
  12. Ferreira, A.J.M., Roque, C.M.C., & Jorge, R.M.N. (2006). Free vibration analysis of symmetric laminated composite plates by FSDT and radial basis functions. Computer Methods in Applied Mechanics and Engineering, 194(39-41), 4265-4278.
  13. Sharma, A.K., Mittal, N.D., & Sharma, A. (2007). Free vibration analysis of moderately thick antisymmetric cross-ply laminated rectangular plates with elastic edge constraints. International Journal of Mechanical Sciences, 49(9), 1176–1186.
  14. Baltaci, A., Sarikanat, M., & Yildiz, H. (2007). Buckling analysis of laminated composite circular plates with holes. Journal of Reinforced Plastics and Composites, 26(15), 1579-1592.
  15. Malekzadeh, P., Fiouz, A.R., & Razi, H. (2008). Three-dimensional dynamic analysis of laminated composite plates subjected to moving load. Composite Structures, 86(4), 367–374.
  16. Paramasivam, V., Ramachandran, S., & Venkatesan, M. (2011). Free vibration analysis of circular laminated composite plates with cutouts. International Journal of Mechanical Sciences, 53(9), 730–737.
  17. Liew, K.M., Zhao, X., & Ferreira, A.J.M. (2011). A review of meshless methods for laminated and functionally graded plates and shells. Composite Structures, 93(8), 2031-2041.
  18. Malekzadeh, P., Fiouz, A.R., & Razi, H. (2011). Three-dimensional dynamic analysis of laminated composite plates subjected to moving load. Composite Structures, 93(7), 1762-1770.
  19. Tornabene, F., Viola, E., & Inman, D.J. (2011). 2-D differential quadrature solution for vibration analysis of functionally graded conical, cylindrical shell, and annular plate structures. Journal of Sound and Vibration, 328(3), 259–290.
  20. Tornabene F., Viola E., Fantuzzi N., (2013). General higher-order equivalent single-layer theory for free vibrations of doubly-curved laminated composite shells and panels, Compos. Struct.,104, 94-117.
  21. Nguyen-Xuan, H., Thai, C.H., & Nguyen-Thoi, T. (2013). Isogeometric finite element analysis of composite sandwich plates using a higher-order shear deformation theory. Composites Part B: Engineering, 55, 558–574.
  22. Kar, V.R., & Panda, S.K. (2015). Free vibration responses of functionally graded spherical shell panels using the finite element method. Procedia Engineering, 144, 913-920.
  23. Mahi, A., Bedia, E.A.A., & Tounsi, A. (2015). A new hyperbolic shear deformation theory for bending and free vibration analysis of isotropic, functionally graded, sandwich, and laminated composite plates. Applied Mathematical Modelling, 39(9), 2489–2508.
  24. Thai, H.T., & Kim, S.E. (2015). A review of theories for the modeling and analysis of functionally graded plates and shells. Composite Structures, 128, 70–86.
  25. Tornabene, F., Fantuzzi, N., Bacciocchi, M., & Viola, E. (2017). Laminated composite doubly-curved shell structures: Differential geometry and differential equations of motion. In Laminated Composite Doubly-Curved Shell Structures (pp. 1-85). Springer.
  26. Mehta, K., & Pandit, M.K. (2018). Free vibration analysis of laminated composite plates with multiple circular and elliptical cutouts. Journal of Vibration Engineering & Technologies, 6(1), 7–23.
  27. Rajasekaran, S., & Khaniki, H.B. (2019). Finite element static and dynamic analysis of axially functionally graded nonuniform small-scale beams based on nonlocal strain gradient theory. Mechanics of Advanced Materials and Structures, 26(15), 1245-1259.
  28. Sayyad, A.S., & Ghugal, Y.M. (2019). Modeling and analysis of functionally graded sandwich beams: A review. Mechanics of Advanced Materials and Structures, 26(21), 1776-1795.
  29. Zhu, J., Lai, Z., Yin, Z., Jeon, J., & Lee, S. (2019). Fabrication of ZrO2–Al2O3 composite ceramic cores by 3D printing—Journal of Materials Processing Technology, 273, 116254.
  30. Zhang, L.W., Liew, K.M., & Reddy, J.N. (2021). Isogeometric analysis of functionally graded carbon nanotube reinforced composite plates using higher-order shear deformation theory. Composite Structures, 165, 150–162.
  31. Liu, Y., Hu, Y., & Zhao, W. (2022). Free vibration analysis of graphene platelet reinforced functionally graded circular plates with multiple perforations using a meshless method. Composites Part B: Engineering, 228, 109440.
  32. Safaei, B., Fattahi, A.M., & Chu, F. (2023). Vibration optimization of perforated laminated composite plates using a hybrid finite element-machine learning approach. Composite Structures, 301, 115997.
  33. Chen, W.Q., Xu, R.Q., & Ding, H.J. (2024). Vibration of perforated functionally graded laminated plates subjected to nonuniform temperature fields—International Journal of Mechanical Sciences, 236, 107110.
Ahead of Print Subscription Original Research
Volume 14
02
Received 19/02/2026
Accepted 05/03/2026
Published 04/04/2026
Publication Time 44 Days
40

Login


My IP

PlumX Metrics