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Acta Mechanica

Erschienen in:

04.04.2020 | Original Paper

Free vibration of stiffened functionally graded circular cylindrical shell resting on Winkler–Pasternak foundation with different boundary conditions under thermal environment

verfasst von: Minh-Tu Tran, Van-Loi Nguyen, Sy-Dong Pham, Jaroon Rungamornrat

Erschienen in: Acta Mechanica | Ausgabe 6/2020

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Abstract

In this paper, the analytical free-vibration analysis of a stiffened functionally graded circular cylindrical shell resting on a Winkler–Pasternak foundation is reported. Various boundary conditions and the thermal effect are considered. Material properties are assumed to be temperature-dependent and vary continuously across the shell’s thickness according to the power law distribution of the volume fraction of constituents. In order to derive the governing equations of the cylindrical shell structure, Hamilton’s principle together with the first-order shear deformation theory and the Lekhnitsky smeared stiffener technique is applied. The natural frequencies of the shell are determined by applying the Galerkin method together with the beam functions for the axial displacement fields. A good agreement between the present results and those available in the literature is observed. In numerical investigations, the influence of temperature field, material volume fraction index, elastic foundation coefficients, boundary conditions, and geometrical ratios on the fundamental natural frequencies of the shell is also given and discussed in detail.

Vorheriger Artikel Nonlinear electromechanical coupling in ferroelectric materials: large deformation and hysteresis

Nächster Artikel Buckling of carbon nanotube (CNT)-reinforced composite skew plates by the discrete singular convolution method

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Titel: Free vibration of stiffened functionally graded circular cylindrical shell resting on Winkler–Pasternak foundation with different boundary conditions under thermal environment
verfasst von: Minh-Tu Tran
Van-Loi Nguyen
Sy-Dong Pham
Jaroon Rungamornrat
Publikationsdatum: 04.04.2020
Verlag: Springer Vienna
Erschienen in: Acta Mechanica / Ausgabe 6/2020
Print ISSN: 0001-5970
Elektronische ISSN: 1619-6937
DOI: https://doi.org/10.1007/s00707-020-02658-y

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