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A solution to free vibration of rotating pretwisted functionally graded conical shell under nonlinear thermal environments

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Abstract

In this paper, the free vibration results of a functionally graded conical shell under nonlinear thermal loading are presented employing finite element method wherein the shell kinematics is based on first-order shear deformation theory. The temperature distribution across the thickness of the conical shell is computed using one-dimensional Fourier heat conduction equation. The dynamic equation of motion of the conical shell is derived from Lagrange’s equation. For this purpose, an eight-noded isoparametric shell element having five degrees of freedom per node is considered. Material properties of the conical shell are temperature dependent; the conical shell is graded along the thickness according to a simple power law distribution. The convergence and exactitude of the formulation are verified with benchmark problems. The parametric study is presented to corroborate the influence of different parameters on the free vibration response of the conical shell panel. The influences of such parameters on the mode shapes are also presented.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Government College of Engineering, Kalahandi, Bhawanipatna, Odisha, 766002, India

    Mrutyunjay Rout

  2. Department of Mechanical Engineering, IGIT Sarang, Parjang, Dhenkanal, Odisha, 759146, India

    Sesadeba Pani

  3. Department of Mechanical Engineering, Parala Maharaja Engineering College, Berhampur, Odisha, 761003, India

    Jayanarayan Mahakud

Authors
  1. Mrutyunjay Rout
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  2. Sesadeba Pani
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  3. Jayanarayan Mahakud
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Correspondence to Mrutyunjay Rout.

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Technical Editor: Aurelio Araujo.

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Rout, M., Pani, S. & Mahakud, J. A solution to free vibration of rotating pretwisted functionally graded conical shell under nonlinear thermal environments. J Braz. Soc. Mech. Sci. Eng. 43, 285 (2021). https://doi.org/10.1007/s40430-021-02995-6

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  • DOI: https://doi.org/10.1007/s40430-021-02995-6

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