Influence of Physical and Geometrical Uncertainties in the Parametric Instability Load of an Axially Excited Cylindrical Shell
Joint Authors
Gonçalves, Paulo Batista
Silva, Frederico Martins Alves da
Brazão, Augusta Finotti
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-05-27
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
This work investigates the influence of Young’s modulus, shells thickness, and geometrical imperfection uncertainties on the parametric instability loads of simply supported axially excited cylindrical shells.
The Donnell nonlinear shallow shell theory is used for the displacement field of the cylindrical shell and the parameters under investigation are considered as uncertain parameters with a known probability density function in the equilibrium equation.
The uncertainties are discretized as Hermite-Chaos polynomials together with the Galerkin stochastic procedure that discretizes the stochastic equation in a set of deterministic equations of motion.
Then, a general expression for the transversal displacement is obtained by a perturbation procedure which identifies all nonlinear modes that couple with the linear modes.
So, a particular solution is selected which ensures the convergence of the response up to very large deflections.
Applying the standard Galerkin method, a discrete system in time domain that considers the uncertainties is obtained and solved by fourth-order Runge-Kutta method.
Several numerical strategies are used to study the nonlinear behavior of the shell considering the uncertainties in the parameters.
Special attention is given to the influence of the uncertainties on the parametric instability and time response, showing that the Hermite-Chaos polynomial is a good numerical tool.
American Psychological Association (APA)
Silva, Frederico Martins Alves da& Brazão, Augusta Finotti& Gonçalves, Paulo Batista. 2015. Influence of Physical and Geometrical Uncertainties in the Parametric Instability Load of an Axially Excited Cylindrical Shell. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-18.
https://search.emarefa.net/detail/BIM-1074657
Modern Language Association (MLA)
Silva, Frederico Martins Alves da…[et al.]. Influence of Physical and Geometrical Uncertainties in the Parametric Instability Load of an Axially Excited Cylindrical Shell. Mathematical Problems in Engineering No. 2015 (2015), pp.1-18.
https://search.emarefa.net/detail/BIM-1074657
American Medical Association (AMA)
Silva, Frederico Martins Alves da& Brazão, Augusta Finotti& Gonçalves, Paulo Batista. Influence of Physical and Geometrical Uncertainties in the Parametric Instability Load of an Axially Excited Cylindrical Shell. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-18.
https://search.emarefa.net/detail/BIM-1074657
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074657