Stability and asymmetric vibrations of pressurized compressible hyperelastic cylindrical shells

Download

index.pdf

Date

1999-05-01

Author

Akyüz, Uğurhan

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

178
views

0
downloads

Cylindrical shells of arbitrary wall thickness subjected to uniform radial tensile or compressive dead-load traction are investigated. The material of the shell is assumed to be homogeneous, isotropic, compressible and hyperelastic. The stability of the finitely deformed state and small, free, radial vibrations about this state are investigated using the theory of small deformations superposed on large elastic deformations. The governing equations are solved numerically using both the multiple shooting method and the finite element method. For the finite element method the commercial program ABAQUS is used.(1) The loss of stability occurs when the motions cease to be periodic. The effects of several geometric and material properties on the stress and the deformation fields are investigated. (C) 1998 Elsevier Science Ltd. AII rights reserved.

Subject Keywords

Nonlinearly elastic medium, Shear, Growth, Deformations

URI

https://hdl.handle.net/11511/63220

Journal

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

DOI

https://doi.org/10.1016/s0020-7462(98)00015-8

Collections

Department of Civil Engineering, Article

Suggestions

OpenMETU
Core

Breathing motions and loss of stability of pre-stressed compressible hyperelastic cylindrical shells Akyüz, Uğurhan (1997-11-01) The stability and breathing motions about finitely deformed states of cylindrical shells of arbitrary wall thickness subjected to uniform dead load traction are investigated. The material is assumed to be a polynomial compressible material which is homogeneous, isotropic and hyperelastic. The stability of the finitely deformed state and small, free, radial vibrations about this state are investigated using the theory of small deformations superposed on large elastic deformations. The loss of stability occur...
Symmetric and asymmetric vibrations of cylindrical shells Akyüz, Uğurhan (2005-09-09) The stability of cylindrical shells of arbitrary wall thickness subjected to uniform radial tensile or compressive dead-load traction is investigated. The material of the shell is assumed to be a polynomial compressible material which is homogeneous, isotropic, and hyperelastic. The governing equations are solved numerically using the multiple shooting method. The loss of stability occurs when the motions cease to be periodic. The effects of several geometric and material properties on the stress and the de...
Stability and breathing motions of pressurized compressible hyperelastic spherical shells Akyüz, Uğurhan (Elsevier BV, 2001-10-18) The stability of homogeneous, isotropic, compressible, hyperelastic, thick spherical shells subjected to external dead-load traction are investigated within the context of the finite elasticity theory. The stability of the finitely deformed state and small, free, radial vibrations about this state are investigated using the theory of small deformations superposed on large elastic deformations. The frequencies of small free vibrations about the pre-stressed state are obtained numerically. The loss of stabili...
Consistent matrices for steel framed structures with semi-rigid connections accounting for shear deformation and rotary inertia effects ÖZEL, HALİL FIRAT; Sarıtaş, Afşin; Tasbahji, Tayseer (2017-04-15) Estimation of vibration characteristics and thus the seismic loads acted on steel framed structures are influenced by the presence of semi-rigid connections and accurate modeling of shear deformations and rotary inertia effects. This paper presents a finite element model that takes into account all these effects in order to calculate consistent stiffness and mass matrices. The formulation of the element utilizes three fields Hu-Washizu-Barr principle, where the need for displacement shape function approxima...
Frictional sliding modes along an interface between identical elastic plates subject to shear impact loading Çöker, Demirkan; Needleman, A.; Rosakis, A.J. (2005-04-01) Frictional sliding along an interface between two identical isotropic elastic plates under impact shear loading is investigated experimentally and numerically. The plates are held together by a compressive stress and one plate is subject to edge impact near the interface. The experiments exhibit both a crack-like and a pulse-like mode of sliding. Plane stress finite element calculations modeling the experimental configuration are carried out, with the interface characterized by a rate and state dependent fr...

Citation Formats

U. Akyüz, “Stability and asymmetric vibrations of pressurized compressible hyperelastic cylindrical shells,” INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, pp. 391–404, 1999, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63220.