Influence of prestress on the natural frequency of a fluid-filled FGM sphere
| Autor: | Arzu Çilli, Nazmiye Yahnioglu, Surkhay Akbarov |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
010302 applied physics
Materials science Natural frequency 02 engineering and technology 021001 nanoscience & nanotechnology Condensed Matter Physics 01 natural sciences Functionally graded material Physics::Fluid Dynamics Inviscid flow 0103 physical sciences General Materials Science Composite material 0210 nano-technology Material properties |
| Zdroj: | Emerging Materials Research. 8:663-667 |
| ISSN: | 2046-0155 2046-0147 |
| DOI: | 10.1680/jemmr.19.00030 |
| Popis: | This paper deals with the study of the influence of the inhomogeneous prestresses (initial stresses) in a hollow sphere made of a functionally graded material (FGM) filled with an inviscid compressible fluid on the natural vibration of this sphere. For this study, the three-dimensional exact field equations of the linearized theory of elastic waves in bodies with initial stresses are employed. The motion of the fluid is described by the linearized Navier–Stokes equations for inviscid barotropic compressible fluids. The discrete-analytical solution method proposed by the first author is employed for the solution to the corresponding mathematical problems. Numerical results related to the natural vibration of the mentioned sphere and the influence of the problem parameters on these frequencies are presented and discussed. In particular, it is established that the existence of the fluid leads to a decrease in the natural vibration frequencies. However, a change in the FGM properties of the sphere’s material can lead to an increase in these frequencies. |
| Databáze: | OpenAIRE |
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