Thermo-Mechanical Vibration Analysis of Simply Supported Laminated and Flat Plates Under Harmonic Loading

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

    Neelam Soni,

  • Baij Nath Singh,

  • Prince Kumar Singh,

  1. Research Scholar, Department of Mechanical Engineering, Bennett University, Greater Noida, Uttar Pradesh, India
  2. Assistant Professor, Department of Mechanical Engineering, Bennett University, Greater Noida, Uttar Pradesh, India
  3. Research Scholar, Department of Mechanical Engineering, Bennett University, Greater Noida, Uttar Pradesh, India

Abstract

This paper delves into a numerical exploration of the vibration characteristics and frequency response of two types of plates: a simply supported rectangular laminated plate and a simply supported flat plate. These plates are subjected to concentrated harmonic forces within a thermal environment. The determination of the critical buckling temperature guides the assessment of thermal load effects. Analytical formulations, incorporating first-order shear deformation theory (FSDT) to consider shear deformation and rotational inertia effects, are utilized to obtain mode shapes, natural frequencies, and dynamic responses. The application of thermal loads is observed to decrease natural frequencies and shift response peaks towards lower frequencies. It is posited that thermal loads alter the structural stress state, with thermal stresses from uniform temperature changes being determined using thermo-elastic theory. These stresses are then incorporated as pre-stressed factors in subsequent dynamic analyses. The study reveals significant influences of thermal loads on natural frequencies, while the sequence and characteristics of mode shapes remain unchanged. Specific characteristics of laminated plates with different configurations are examined, indicating that increasing young’s modulus of the core leads to higher natural frequencies and response peaks shifting towards higher frequencies. The study reveals that natural frequencies get reduced with rising temperature of the plate, with the first natural frequency being especially susceptible to thermal changes. The accuracy of the theoretical formulation is substantiated through a close correlation with numerical results derived from ANSYS simulations.

 

Keywords: Mode shapes, Thermo elastic theory, FSDT, Flat plate, Laminated Plate.

How to cite this article:
Neelam Soni, Baij Nath Singh, Prince Kumar Singh. Thermo-Mechanical Vibration Analysis of Simply Supported Laminated and Flat Plates Under Harmonic Loading. Journal of Polymer & Composites. 2026; 14(02):-.
How to cite this URL:
Neelam Soni, Baij Nath Singh, Prince Kumar Singh. Thermo-Mechanical Vibration Analysis of Simply Supported Laminated and Flat Plates Under Harmonic Loading. Journal of Polymer & Composites. 2026; 14(02):-. Available from: https://journals.stmjournals.com/jopc/article=2026/view=242787


References

  1. Zuo H, Chen Y, Jia F. Thermo-mechanical coupling analysis of laminated composite plates using wavelet finite element method. Thin Wall Struct. 2022 Mar;172:108911.
  2. Gupta P, Singh B. Investigation of tool chatter using local mean decomposition and artificial neural network during turning of Al 6061. Soft Comput. 2021 Aug;25(16):11151–11174.
  3. Singh BN, Hota RN, Dwivedi S, Jha R, Ranjan V, Řehák K. Analytical investigation of sound radiation from functionally graded thin plates based on elemental radiator approach and physical neutral surface. Appl Sci. 2022 Jul;12(15):7707.
  4. Singh BN, Ranjan V, Hota RN. Vibroacoustic response of thin power law indexed functionally graded plates. Steel Compos Struct. 2024 Feb;50(3):299–312.
  5. Li W, Li Y. Vibration and sound radiation of an asymmetric laminated plate in thermal environments. Acta Mech Solida Sin. 2015 Feb;28(1):11–22.
  6. Carrera E, Cinefra M, Lamberti A, Petrolo M. Results on best theories for metallic and laminated shells including layer-wise models. Compos Struct. 2015 Aug;126:285–298.
  7. Gupta P, Singh B. A new ensemble approach to explore stability features in turning operation on CNC lathe. J Mech Sci Technol. 2021 Jul;35(7):2819–2825.
  8. Li X, Yu K. Vibration and acoustic responses of composite and sandwich panels under thermal environment. Compos Struct. 2015 Nov;131:1040–1049.
  9. Geng Q, Li Y. Analysis of dynamic and acoustic radiation characters for a flat plate under thermal environments. Int J Appl Mech. 2012 Sep;4(3):1250028.
  10. Fahy FJ. Sound and structural vibration: radiation, transmission and response. Oxford: Elsevier; 2007.
  11. Singh BN. Sound radiation of a simply supported rectangular plate using finite element method. Vibroeng Procedia. 2019;25:1–6.
  12. Cao MS, Sha GG, Gao YF, Ostachowicz W. Structural damage identification using damping: a compendium of uses and features. Smart Mater Struct. 2017 Mar;26(4):043001.
  13. Amabili M, Carra S. Thermal effects on geometrically nonlinear vibrations of rectangular plates with fixed edges. J Sound Vib. 2009 Apr;321(3–5):936–954.
  14. Twinkle CM, Pitchaimani J, Rajamohan V. Free vibration modes of rectangular plate under non-uniform heating: an experimental investigation. In: Structures. 2020 Dec;28:1802–1817.
  15. Pradeep V, Ganesan N. Thermal buckling and vibration behavior of multi-layer rectangular viscoelastic sandwich plates. J Sound Vib. 2008 Feb;310(1–2):169–183.
  16. Greene DC. Vibration and sound radiation of damped and undamped flat plates. J Acoust Soc Am. 1961 Oct;33(10):1315–1320.
  17. Kim HS, Jang JU, Lee H, Kim SY, Kim SH, Kim J, Jung YC, Yang BJ. Thermal management in polymer composites: a review of physical and structural parameters. Adv Eng Mater. 2018 Oct;20(10):1800204.
  18. Reddy JN. Mechanics of laminated composite plates and shells: theory and analysis. Boca Raton (FL): CRC Press; 2003.
  19. Chandra N, Raja S, Gopal KN. Vibro-acoustic response and sound transmission loss analysis of functionally graded plates. J Sound Vib. 2014 Oct;333(22):5786–5802.

Ahead of Print Subscription Review Article
Volume 14
02
Received 16/09/2025
Accepted 08/10/2025
Published 04/05/2026
Publication Time 230 Days


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