Stability and breathing motions of pressurized compressible hyperelastic spherical shells

Date

2001-10-18

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

220
views

0
downloads

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 stability occurs when the motions cease to be periodic. The critical values of stress and deformation are given for a foam rubber, slightly compressible rubber and a nearly incompressible rubber. (C) 2001 Academic Press.

Subject Keywords

Mechanical Engineering, Acoustics and Ultrasonics, Mechanics of Materials, Condensed Matter Physics

URI

https://hdl.handle.net/11511/63227

Journal

JOURNAL OF SOUND AND VIBRATION

DOI

https://doi.org/10.1006/jsvi.2001.3730

Collections

Department of Civil Engineering, Article

Suggestions

OpenMETU
Core

A refined dynamic theory for viscoelastic cylindrical shells and cylindrical laminated composites, Part 2: An application Birlik, G.A.; Mengi, Yalçın (Elsevier BV, 1989-4) In this study, the general approximate theory developed in Part 1 for shells is assessed for axially symmetric elastic waves propagating in a closed circular cylindrical shell (hollow rod). The spectra predicted by zeroth and second order approximate theories are determined for various values of shell thicknesses and the Poisson ratios and they are compared with those of exact theory. It is found that the agreement between the two is good. Approximate and exact cut-off frequencies match almost exactly. The ...
TRANSIENT WAVE-PROPAGATION IN LAYERED MEDIA CONDUCTING HEAT TURHAN, D; CELEP, Z; ZAINEDDEN, IK (Elsevier BV, 1991-01-22) Transient wave propagation in thermoelastic layered composites consisting of alternating isotropic, homogeneous and linearly elastic high-strength reinforcing and low-strength matrix layers is investigated. The layers of the composite medium can be plane, cylindrical or spherical. The inner surfaces of the composite bodies are subjected to uniform time dependent dynamic inputs. A common formulation is employed for the three types of layered media. The generalized theory of thermoelasticity is used, with the...
Fluid-structure interactions with both structural and fluid nonlinearities Bendiksen, O. O.; Seber, G. (Elsevier BV, 2008-08-19) In this study, we consider a class of nonlinear aeroelastic stability problems, where geometric nonlinearities arising from large deflections and rotations in the structure interact with aerodynamic nonlinearities caused by moving shocks. Examples include transonic panel flutter and flutter of transonic wings of high aspect ratio, where the presence of both structural and aerodynamic nonlinearities can have a dramatic qualitative as well as quantitative effect on the flutter behavior. Both cases represent i...
A refined dynamic theory for viscoelastic cylindrical shells and cylindrical laminated composites, Part 1: General theory Birlik, G.A.; Mengi, Yalçın (Elsevier BV, 1989-4) Through the use of a new technique, approximate theories are developed for the dynamic response of viscoelastic cylindrical shells and cylindrical laminated composites (CLC). The new technique eliminates the inconsistencies between the deformation shapes assumed over the thickness of the shell and the boundary or interface conditions to be satisfied on its lateral surfaces. Accordingly, the theory correctly predicts the dynamic behavior of shells or CLC without using any correction factors. Due to its lengt...
TORSIONAL VIBRATIONS OF LAYERED COMPOSITE PARABOLOIDAL SHELLS Kayran, Altan (Elsevier BV, 1990-09-08) An analysis is presented for the torsional vibration characteristics of layered composite paraboloidal shells. The conditions for the uncoupling of the torsional modes from the bending and extensional modes are first determined for a layered shell of revolution. A finite difference scheme is developed for the solution of the resulting governing equation for the uncoupled torsional frequencies. The results of the finite difference solution for the paraboloids are compared with the analytical solution of unco...

Citation Formats

U. Akyüz, “Stability and breathing motions of pressurized compressible hyperelastic spherical shells,” JOURNAL OF SOUND AND VIBRATION, pp. 293–304, 2001, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63227.