SavedAdd your journal

Journals / Politeknik Dergisi / 2026 / Cilt: 29 Sayı: 5

The Effect of Stacking Sequence on the Vibration of Symmetric Laminated Composite Plates

Tabaka Diziliminin Simetrik Tabakalı Kompozit Plakların Titreşimine Etkisi

Ahmet Yunus Çal(KÜTAHYA DUMLUPINAR ÜNİVERSİTESİ)0009-0008-1570-0786
Mustafa Halûk Saraçoğlu(Kütahya Dumlupınar Üniversitesi)0000-0003-3842-5699
Uğur Albayrak(ESKİŞEHİR OSMANGAZİ ÜNİVERSİTESİ)0000-0001-7326-3213
Pages
1–21
Publication Date
2026-09-14
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The results show that orthotropic laminates with uniform 0° orientation exhibit layer-number-independent frequencies, whereas symmetrically laminated plates are highly sensitive to stacking sequence and fiber orientation, especially in lower modes.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The free vibration characteristics of orthotropic and symmetrically laminated composite plates are investigated through numerical parametric study.
📊
Key Findings & Data:A total of 148 laminate configurations considered by varying the number of three to ten layers and employing symmetric stacking sequences with fiber orientations of 0°, ±30°, ±45°, ±60°, and 90°.
💡
Conclusion & Impact:The results show that orthotropic laminates with uniform 0° orientation exhibit layer-number-independent frequencies, whereas symmetrically laminated plates are highly sensitive to stacking sequence and fiber orientation, especially in lower modes.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Tabakalı kompozit plak · Serbest titreşim · Simetrik tabakalı plak

Abstract

The free vibration characteristics of orthotropic and symmetrically laminated composite plates are investigated through numerical parametric study. Square glass/epoxy laminated plates with simply supported boundary conditions are analyzed using the finite element method in ANSYS MAPDL, with the analysis process fully automated via a Python-based interface. A total of 148 laminate configurations considered by varying the number of three to ten layers and employing symmetric stacking sequences with fiber orientations of 0°, ±30°, ±45°, ±60°, and 90°. The first four natural frequencies are evaluated to examine the effects of fiber orientation, stacking sequence, and layer number. The results show that orthotropic laminates with uniform 0° orientation exhibit layer-number-independent frequencies, whereas symmetrically laminated plates are highly sensitive to stacking sequence and fiber orientation, especially in lower modes. Cross-ply laminates generally yield higher frequencies than angle-ply laminates in higher modes due to increased bending stiffness. The findings provide practical insights into the vibration-oriented design of laminated composite plates.

Özet

Ortotrop ve simetrik tabakalı kompozit plakaların serbest titreşim özellikleri, sayısal parametrik çalışma ile incelenmiştir. Basit mesnetli sınır şartlarına sahip kare cam/epoksi tabakalı plakalar, ANSYS MAPDL'de sonlu eleman yöntemi kullanılarak analiz edilmiş ve analiz süreci Python tabanlı bir arayüz aracılığıyla tamamen otomatikleştirilmiştir. Üç ila on katman sayısı değiştirilerek ve 0°, ±30°, ±45°, ±60° ve 90° lif yönelimlerine sahip simetrik tabaka dizilimleri kullanılarak toplam 148 tabaka konfigürasyonu ele alınmıştır. Lif yönelimi, tabaka dizilimi ve tabaka sayısının etkilerini incelemek için ilk dört doğal frekans değerlendirilmiştir. Sonuçlar, 0° lif yönelimli ortotrop tabakaların tabaka sayısından bağımsız frekanslar sergilediğini, simetrik tabakalı plakaların ise özellikle düşük modlarda tabaka dizilimine ve lif yönelimine oldukça duyarlı olduğunu göstermektedir. Çapraz tabakalı plaklar, artan eğilme rijitliği nedeniyle genellikle daha yüksek modlarda açılı tabakalı plaklardan daha yüksek frekanslar vermektedir. Bulgular, tabakalı kompozit plakaların titreşim odaklı tasarımına ilişkin pratik bilgiler sağlamaktadır.

🔖

Cite This Article

Çal, A. Y., Saraçoğlu, M. H., Albayrak, U. (2026). The Effect of Stacking Sequence on the Vibration of Symmetric Laminated Composite Plates. Politeknik Dergisi, Cilt: 29 Sayı: 5, 1–21. https://doi.org/10.2339/politeknik.1910137

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (35)

  1. Çal, A.Y., “The Effect of Stacking Sequence on The Vibration of Laminated Composite Plates (in Turkish)”, Master’s thesis, Kütahya Dumlupınar University, Graduate Education Institute, Department of Civil Engineering, (2025).
  2. Reddy, J.N., “Mechanics of Laminated Composite Plates and Shells Theory and Analysis.” CRC Press (2003).
  3. Leissa, A.W., “The free vibration of rectangular plates.” J. Sound Vib. 31(3), 257–293 (1973).
  4. Adim, B., Hassaine Daouadji, T., “Free Vibration Behavior of Laminated Composite Plates.” In: Sassi, S., Biswas, P., and Naprstek, J. (eds.) Proceedings of the 15th International Conference on Vibration Problems. pp. 247–253. Springer Nature Singapore, Singapore (2024).
  5. Dündar, M., Uygur, İ., Ekici, E., Taşçıoğlu, C., Gülenç, B., “Numerical and Statistical Investigation of the Effect of Composite Layer Thickness on Low-Velocity Impact Behaviour in Fibre Metal Laminate Materials.” Journal of Polytechnic. 29(1), 1–8 (2026).
  6. Kara, M.E., Özçi̇fçi̇, A., “Impacts of Phenol Formaldehyde (PF) and Melamine Urea Formaldehyde (MUF) Adhesives Strengthened with Nano Chemilas on Screw Withdrawal Strength of Laminated Wood Elements.” Journal of Polytechnic. 28(6), 1893–1904 (2025).
  7. Kösedağ, E., Eki̇ci̇, R., “Free Vibration Analysis of Foam-Core Sandwich Structures.” Journal of Polytechnic. 24(1), 69–74 (2021).
  8. Çağdaş, İ.U., “The Influence of Axial Compression on the Free Vibration Frequencies of Cross-ply Laminated and Moderately Thick Cylinders.” Journal of Polytechnic. 23(1), 45–52 (2020).
  9. Reissner, E., “The Effect of Transverse Shear Deformation on the Bending of Elastic Plates.” J. Appl. Mech. 12(2), A69–A77 (1945).
  10. Mindlin, R.D., “Influence of Rotatory Inertia and Shear on Flexural Motions of Isotropic, Elastic Plates.” J. Appl. Mech. 18(1), 31–38 (1951).
  11. Jones, R.M., “Mechanics of Composite Materials.” (1999).
  12. Liew, K.M., Huang, Y.Q., Reddy, J.N., “Vibration analysis of symmetrically laminated plates based on FSDT using the moving least squares differential quadrature method.” Comput. Methods Appl. Mech. Eng. 192(19), 2203–2222 (2003).
  13. Whitney, J.M., “Structural Analysis of Laminated Anisotropic Plates.” (1987).
  14. Karamanlı, A., “Flexure Analysis of Laminated Composite and Sandwich Beams Using Timoshenko Beam Theory.” Journal of Polytechnic. 21(3), 633–643 (2018).
  15. Matsunaga, H., “Vibration and stability of cross-ply laminated composite plates according to a global higher-order plate theory.” Compos. Struct. 48(4), 231–244 (2000).
  16. Reddy, J.N., Khdeir, A.A., “Buckling and vibration of laminated composite plates using various plate theories.” AIAA Journal. 27(12), 1808–1817 (1989).
  17. Qatu, M.S., “Free Vibration of Laminated Composite Rectangular Plates.” Int. J. Solids Struct. 3(8), 941–954 (1991).
  18. Kayran, A., Anlas, G., “Effect of Stacking Sequence on Free Vibration Frequencies of Laminated Composite Circular Cylindrical Shells.” Journal of Vibration and Control. 5(3), 355–372 (1999).
  19. Şen, F., Pakdil, M., “Effect of Stacking Sequences on Failure Behavior of Pinned E-Glass/Epoxy Composite Plates.” Journal of Polytechnic. 11(2), 147–151 (2008).
  20. Evran, S., “Investigation of Effects of Fiber Orientation Angles on Deflection Behavior of Cantilever Laminated Composite Square Plates.” Journal of Polytechnic. 23(3), 633–639 (2020).
  21. Noor, A.K., Burton, W.S., “Assessment of Computational Models for Multilayered Composite Shells.” Appl. Mech. Rev. 43(4), 67–97 (1990).
  22. Lanhe, W., Hua, L., Daobin, W., “Vibration analysis of generally laminated composite plates by the moving least squares differential quadrature method.” Compos. Struct. 68(3), 319–330 (2005).
  23. Fallah, N., Delzendeh, M., “Free vibration analysis of laminated composite plates using meshless finite volume method.” Eng. Anal. Bound. Elem. 88, 132–144 (2018).
  24. Ferreira, A.J.M., Roque, C.M.C., Martins, P.A.L.S., “Analysis of composite plates using higher-order shear deformation theory and a finite point formulation based on the multiquadric radial basis function method.” Compos. B Eng. 34(7), 627–636 (2003).
  25. Shojaee, S., Valizadeh, N., Izadpanah, E., Bui, T., Vu, T.-V., “Free vibration and buckling analysis of laminated composite plates using the NURBS-based isogeometric finite element method.” Compos. Struct. 94(5), 1677–1693 (2012).
  26. Xiang, S., Wang, K.-M., “Free vibration analysis of symmetric laminated composite plates by trigonometric shear deformation theory and inverse multiquadric RBF.” Thin-Walled Structures. 47(3), 304–310 (2009).
  27. Bojović, V., Rakočević, M., “Analytical and Numerical Solution for Free Vibrations of Laminated Composite Plates.” Journal of Applied Engineering Science. 22(2), 245–252 (2024).
  28. Sayyad, A.S., Shinde, B.M., Ghugal, Y.M., “Bending, vibration and buckling of laminated composite plates using a simple four variable plate theory.” Latin American Journal of Solids and Structures. 13(3), 516–535 (2016).
  29. Zhu, J., “Free vibration analysis of multilayered composite plates and shells with the natural approach.” Comput. Methods Appl. Mech. Eng. 130(1), 133–149 (1996).
  30. Ganapathi, M., Makhecha, D.P., “Free vibration analysis of multi-layered composite laminates based on an accurate higher-order theory.” Compos. B Eng. 32(6), 535–543 (2001).
  31. Swanson Analysis System Inc., A., ANSYS User’s manual, (2005).
  32. Sayyad, A.S., Ghugal, Y.M., “On the free vibration analysis of laminated composite and sandwich plates: A review of recent literature with some numerical results.” Compos. Struct. 129(1), 177–201 (2015).
  33. [Reddy, J.N., “A Simple Higher-Order Theory for Laminated Composite Plates.” J. Appl. Mech. 51(4), 745–752 (1984).
  34. Noor, A.K., “Free vibrations of multilayered composite plates.” AIAA Journal. 11(7), 1038–1039 (1973).
  35. Çal, A.Y., “The Effect of Stacking Sequence on The Vibration of Laminated Composite Plates (in Turkish)”, Master’s thesis, Kütahya Dumlupınar University, Graduate Education Institute, Department of Civil Engineering, (2025).