Research on Free Vibration Frequency Characteristics of Rotating Functionally Graded Material Truncated Conical Shells with Eccentric Functionally Graded Material Stringer and Ring Stiffeners
| Autor: | Dao Van Dung, Hoang Thi Thiem |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Centrifugal force
Engineering Rotating truncated conical shell Shell (structure) Aerospace Engineering Ocean Engineering 02 engineering and technology Functionally graded material 0203 mechanical engineering General Materials Science Galerkin method lcsh:QC120-168.85 Civil and Structural Engineering Partial differential equation business.industry Mechanical Engineering Mechanics Structural engineering Conical surface Free vibration 021001 nanoscience & nanotechnology Frequency characteristics Vibration 020303 mechanical engineering & transports Mechanics of Materials Functionally graded material (FGM) Automotive Engineering lcsh:Descriptive and experimental mechanics lcsh:Mechanics of engineering. Applied mechanics lcsh:TA349-359 0210 nano-technology Material properties business FGM stiffener |
| Zdroj: | Latin American Journal of Solids and Structures v.13 n.14 2016 Latin American journal of solids and structures Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM) instacron:ABCM Latin American Journal of Solids and Structures, Volume: 13, Issue: 14, Pages: 2679-2705, Published: 2016 Latin American Journal of Solids and Structures, Vol 13, Iss 14, Pp 2679-2705 |
| Popis: | In this research work, an exact analytical solution for frequency characteristics of the free vibration of rotating functionally graded material (FGM) truncated conical shells reinforced by eccentric FGM stringers and rings has been investigated by the displacement function method. Material properties of shell and stiffeners are assumed to be graded in the thickness direction according to a simple power law distribution. The change of spacing between stringers is considered. Using the Donnell shell theory, Leckhnisky smeared stiffeners technique and taking into account the influences of centrifugal force and Coriolis acceleration the governing equations are derived. For stiffened FGM conical shells, it is difficult that free vibration equations are a couple set of three variable coefficient partial differential equations. By suitable transformations and applying Galerkin method, this difficulty is overcome in the paper. The sixth order polynomial equation for w is obtained and it is used to analyze the frequency characteristics of rotating ES-FGM conical shells. Effects of stiffener, geometrics parameters, cone angle, vibration modes and rotating speed on frequency characteristics of the shell forward and backward wave are discussed in detail. The present approach proves to be reliable and accurate by comparing with published results available in the literature. |
| Databáze: | OpenAIRE |
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