Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Advanced Dynamic Thermal Vibration of Thick FGM Cylindrical Shells

Version 1 : Received: 2 February 2024 / Approved: 2 February 2024 / Online: 2 February 2024 (08:48:27 CET)

How to cite: Hong, C. Advanced Dynamic Thermal Vibration of Thick FGM Cylindrical Shells. Preprints 2024, 2024020142. https://doi.org/10.20944/preprints202402.0142.v1 Hong, C. Advanced Dynamic Thermal Vibration of Thick FGM Cylindrical Shells. Preprints 2024, 2024020142. https://doi.org/10.20944/preprints202402.0142.v1

Abstract

The thick functionally graded material (FGM) circular cylindrical shells with advanced varied shear correction coefficient and third-order shear deformation theory (TSDT) under advanced thermal vibration are studied by the method of generalized differential quadrature (GDQ). The coefficient of displacement model of TSDT is applied to derive the equations of motion for the thick FGM circular cylindrical shells. The stiffness in simpler forms of thick FGM circular cylindrical shells and temperature rise in linear expression of the heat conduction equation are used. The differential equations in dynamic equilibrium state of thick FGM circular cylindrical shells can be obtained and rewritten into displacements and shear rotations in partial derivative expressions under dynamic thermal loads in partial derivative expressions. Parametric effect studies including advanced nonlinear varied shear correction coefficient, nonlinear coefficient c1 value, power law index and thermal temperature difference of external heating loads on the displacements and stresses of thick FGM cylindrical shells under thermal dynamic vibration are investigated.

Keywords

thick FGM; circular cylindrical shells; third-order shear deformation theory; TSDT; advanced thermal vibration; GDQ; nonlinear coefficient

Subject

Engineering, Mechanical Engineering

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