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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2023 Volume 63, Number 9, Page 1564 (Mi zvmmf11622)

Mathematical physics

The effect of nonlocal scale value and phase lags on thermoelastic waves in a multilayered LEMV/CFRP composite cylinder

S. Mahesha, R. Selvamanib, Farzad Ebrahimic

a Department of Mathematics, V.S.B.Engineering College, Karur, India
b Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, India
c Department of Mechanical Engineering, Imam Khomeini International University, Qazvin, Iran

Abstract: In this study, the effect of nonlocal scale value and two phase lags on the free vibration of generalized thermoelastic multilayered LEMV (Linear Elastic Material with Voids)/CFRP (Carbon Fiber Reinforced Polymer) composite cylinder is studied using nonlocal form of linear theory of elasticity. The governing equation of motion is established in longitudinal axis and variable separation model is used to transform the governing equations into a system of differential equations. To investigate vibration analysis from frequency equations, the stress free boundary conditions are adopted at the inner, outer and interface boundaries. The graphical representation of the numerically calculated results for frequency shift, natural frequency, and thermoelastic damping is presented. A special care has been taken to inspect the effect of nonlocal parameter on the aforementioned quantities. The results suggest that the nonlocal scale and the phase lag parameters alter the vibration characteristics of composite cylinders significantly.

Key words: multilayered cylinders, non local, LEMV/CFRP, thermoelastic.

UDC: 519.63

Received: 07.10.2022
Revised: 21.04.2023
Accepted: 29.04.2023

Language: English

DOI: 10.31857/S0044466923090120


 English version:
Computational Mathematics and Mathematical Physics, 2023, 63:9, 1717–1730

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© Steklov Math. Inst. of RAS, 2024