Effect of Sinusoidal and Inverse sinusoidal Load on the Vibration and Buckling Behaviour of Laminated Composite Symmetrical and Unsymmetrical Trapezoidal Panels

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Year : 2025 | Volume : 13 | Issue : 03 | Page : –
    By

    Maharudra,

  • Thara L,

  • Subash Chandra K S,

  • Shiva kumara N V,

  • Santhosh Gotagunaki,

  • Manjunatha K,

  1. Senior Grade Lecturer, Department of Mechanical Engineering, Government Polytechnic, Channapatna, Ramanagar, Karnataka, India
  2. Assistant Professor, Department of Aeronautical Engineering, Nitte Meenakshi Institute of Technology, Bengaluru, Karnataka, India
  3. Senior Grade Lecturer, Department of Mechanical Engineering, Government Polytechnic, Gouribidanur, Karnataka, India
  4. Senior Grade Lecturer, Department of Mechanical Engineering, Government Polytechnic, Channasandra, Bengaluru, Karnataka, India
  5. Assistant Professor, Department of Mechanical Engineering, Government Engineering College, Ramanagar, Karnataka, India
  6. Assistant Professor, Department of Mechanical Engineering, Government Engineering College, Hassan, Karnataka, India

Abstract

Using finite element (FE) techniques, this work analyzes the influence of sinusoidal and invers sinusoidal stresses on the buckling behavior of trapezoidal laminated composite panels (also known as trapezoidal laminated composite panels). The discretization of the composite panel is accomplished by the use of an eight-noded iso-parametric plate element, which has five degrees of freedom for each node. Due to the incorporation of Higher Order Shear Deformation Theory (HOSDT) into the mathematical formulation, the model is able to adequately account for shear deformation. This allows the model to be acceptable for both thin and thick panels without the need  for extra shear correction variables. The validity of the model is validated by comparing the findings generated by the model with those obtained from previously published research. Ply orientations, panel geometry, and panel cutout sizes are some of the factors that are included in the parametric studies that are carried out in order to investigate the impact of these characteristics. The findings of  this study contribute to a better knowledge of the vibration and buckling behavior of trapezoidal laminated composite panels across a wide range of loading situations and parameter modifications. With the use of HOSDT, reliable predictions are guaranteed, especially in situations that include both thin and thick panels. This provides significant insights that can be used to optimize the design and performance of composite structures in actual engineering applications.

Keywords: Inverse sinusoidal load, composite laminate, buckling, finite element method, sinusoidal load.

[This article belongs to Journal of Polymer and Composites ]

How to cite this article:
Maharudra, Thara L, Subash Chandra K S, Shiva kumara N V, Santhosh Gotagunaki, Manjunatha K. Effect of Sinusoidal and Inverse sinusoidal Load on the Vibration and Buckling Behaviour of Laminated Composite Symmetrical and Unsymmetrical Trapezoidal Panels. Journal of Polymer and Composites. 2025; 13(03):-.
How to cite this URL:
Maharudra, Thara L, Subash Chandra K S, Shiva kumara N V, Santhosh Gotagunaki, Manjunatha K. Effect of Sinusoidal and Inverse sinusoidal Load on the Vibration and Buckling Behaviour of Laminated Composite Symmetrical and Unsymmetrical Trapezoidal Panels. Journal of Polymer and Composites. 2025; 13(03):-. Available from: https://journals.stmjournals.com/jopc/article=2025/view=206967



References

  1. Maharudra R, Rajanna T, Arya B. Effect of trapezoidal shapes and non-uniform edge loads on buckling behaviour of plates with cutouts. Proc Inst Mech Eng Part C J Mech Eng Sci. 2022; 236(5): 701-714. doi: 10.1177/09544062211022258.
  2. Zeinali M, Rahimi G, Hosseini S. Buckling load optimization of sandwich plates with trapezoidal corrugated core and elliptical cutout using vibration correlation techniques and artificial neural network; experimental and numerical analysis. Thin-Walled Struct. 2024; 200: 111957
  3. Valverde V, Viktor P, Abdullaev S, Bohlooli N. Using DQ method for vibration analysis of a laminated trapezoidal structure with functionally graded faces and damaged core. Steel Compos Struct. 2024;51(1):73-91.
  4. Chandra KS, Rajanna T, Rao KV. Effect of nonlinearly varying loads and position of stiffener on buckling behaviour of stiffened composite panels. In: Recent Advances in Manufacturing, Automation, Design and Energy Technologies: Proceedings from ICoFT 2020. Singapore: Springer Singapore; 2021. pp. 543-551.
  5. Reddy JN, Phan ND. Stability and vibration of isotropic, orthotropic, and laminated plates according to a higher-order shear deformation theory. J Sound Vib. 1985; 98(2): 157–170. doi: 10.1016/0022-460X(85)90360-7.
  6. Biswas D, Bhattacharyya R, Ray C. Stability and dynamic analyses of hybrid laminates using refined higher-order zigzag theory. Int J Comput Methods Eng Sci Mech. 2024. doi: 10.1080/15502287.2024.2372821.
  7. Belkacem A, Hassaine TD, Abbès B, Rabahi A. Buckling and free vibration analysis of laminated composite plates using an efficient and simple higher order shear deformation theory. Mech Ind. 2016. doi: 10.1051/meca/2015112.
  8. Bui XB, Nguyen TK, Nguyen ND, Vo TP. A general higher-order shear deformation theory for buckling and free vibration analysis of laminated thin-walled composite I-beams. Compos Struct. 2022;295:115775.
  9. Chandra KS, Rajanna T, Rao KV. Effect of sinusoidal and inverse sinusoidal in-plane loads on buckling and vibration characteristics of FRP panels with cutouts. Mater Today Proc. 2021; 45: 48-53.
  10. Chandra KS, Rajanna T, Rao KV. Hygro-thermo-mechanical vibration and buckling analysis of composite laminates with elliptical cutouts under localized edge loads. Int J Struct Stab Dyn. 2021; 21(11): 2150150.
  11. Chandra KS, Rao KV, Rajanna T. Effect of varying in-plane loads and cutout size on buckling behavior of laminated panels. In: Advances in Mechanical Engineering: Select Proceedings of ICAME 2020. Singapore: Springer Singapore; 2020. pp. 671-678.
  12. Chandra KS, Subash K, Rao KV, Rajanna T. Effect of in-plane concentrated load on buckling behavior of FRP composite panels with cutout. Proc Indian Struct Steel Conf. 2023;319:51.
  13. Maharudra R, Rajanna T, Arya B. Effect of trapezoidal shapes on the thermal buckling behaviour of perforated composite plates. Adv Mater Sci. 2021; 21(1): 10-26.
  14. Maharudra, Arya B, Rajanna T. Effect of trapezoidal shaped laminated composite plate with and without cutout on vibration characteristics. Mater Today Proc. 2021; 45: 34-40.
  15. An R, Yang S, Hao Y, Zhang W, Ma W, Niu Y. Free vibration characteristics of cantilevered sandwich trapezoidal plates with variable thickness. Mech Adv Mater Struct. 2024;1-25.
  16. Garg A, Chalak HD. Buckling analysis of laminated composite plates under thermal conditions. Asian Comput Plast. 2022. doi: 10.38208/acp.v1.463.
  17. Rajanna T, Chandra KS, Rao KV. Influence of local stiffeners and cutout shapes on the vibration and stability characteristics of quasi-isotropic laminates under hygro-thermo-mechanical loadings. Def Technol. 2022;18(12):2107-212.
  18. Wan YG, Yang SW, Hao YX, An R, Wang ZQ, Zhang W. Free vibrations of FG-GPLRC magneto-electro-elastic sandwich cantilevered trapezoidal plates with variable thickness. Int J Struct Stab Dyn. 2024.
  19. Mohamed SA, Mohamed N, Eltaher MA. Bending, buckling and linear vibration of bio-inspired composite plates. Ocean Eng. 2022. doi: 10.1016/j.oceaneng.2022.111851.
  20. Sun Y. Buckling and vibration performance of a composite laminated plate with elastic boundaries subjected to local thermal loading. Shock Vib. 2021. doi: 10.1155/2021/5537946
  21. Maharudra R, Rajanna T, Arya B. Influence of trapezoidal shapes and cutout sizes on the buckling behaviour of composite laminates under thermally induced loads. Lat Am J Solids Struct. 2021;18(3)
  22. Kumari E, Lal S. Studies of trapezoidal panels under thermo-mechanical load: a nonlinear dynamic analysis. Mater Phys Mech. 2024;52(2):90-105.
  23. Reddy JN. A simple higher-order theory for laminated composite plates. J Appl Mech Trans ASME. 1984; 51: 745–752.
  24. Whitney JM, Pagano NJ. Shear deformation in heterogeneous anisotropic plates. J Appl Mech Trans ASME. 1970; 37: 1031–1036
Regular Issue Subscription Review Article
Volume 13
Issue 03
Received 26/07/2024
Accepted 07/09/2024
Published 28/03/2025
Publication Time 245 Days
Total Visits: 98


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