Nonlinear dynamical analyses of eccentrically stiffened functionally graded toroidal shell segments surrounded by elastic foundation in thermal environment

In this study, the nonlinear vibration and dynamic buckling of eccentrically stiffened functionally graded toroidal shell segments surrounded by an elastic medium in thermal environment are presented. The governing equations of motion of eccentrically stiffened functionally graded toroidal shell seg...

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Bibliographic Details
Published in:Composites. Part B, Engineering Engineering, 2016-06, Vol.95, p.355-373
Main Authors: Bich, Dao Huy, Ninh, Dinh Gia, Kien, Bui Huy, Hui, David
Format: Article
Language:English
Subjects:
A. Discontinuous reinforcement
B. Thermomechanical
B. Vibration
Buckling
C. Analytical modelling
Eccentricity
Foundations
Functionally gradient materials
Nonlinear dynamics
Nonlinearity
Segments
Toroidal shell segments
Toroidal shells
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Summary:In this study, the nonlinear vibration and dynamic buckling of eccentrically stiffened functionally graded toroidal shell segments surrounded by an elastic medium in thermal environment are presented. The governing equations of motion of eccentrically stiffened functionally graded toroidal shell segments are derived based on the classical shell theory with the geometrical nonlinear in von Karman-Donnell sense and the smeared stiffeners technique. Furthermore, the dynamical characteristics of shells as natural frequencies, nonlinear frequency–amplitude relation, nonlinear dynamic responses and the nonlinear dynamic critical buckling loads evaluated by Budiansky-Roth criterion are considered. The effects of characteristics of functionally graded materials, geometrical ratios, elastic foundation, pre-loaded axial compression and temperature on the dynamical behavior of shells are investigated.
ISSN:1359-8368
1879-1069
DOI:10.1016/j.compositesb.2016.04.004