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Vibration analysis of spinning cylindrical shell made of functionally graded material using higher order shear deformation theory

Kargarnovin, M. H ; Sharif University of Technology | 2008

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  1. Type of Document: Article
  2. Publisher: University of Southampton, Institute of Sound Vibration and Research , 2008
  3. Abstract:
  4. In this paper the vibration of a spinning cylindrical shell made of functional graded material (FGM) made is investigated. After a brief introduction of FG materials, by employing higher order theory for shell deformation, constitutive relationships are derived. In the next step by utilizing energy method and Hamilton's principle governing deferential equation of spinning cylindrical shell is obtained. By making use of the principle of minimum potential energy, the characteristic equation of natural frequencies is derived. After verification of the results, the effect of changing different parameters such as material grade, L/R, h/R, and spinning velocity on the natural frequency are investigated
  5. Keywords:
  6. Beams and girders ; Cylinders (shapes) ; Dynamics ; Functionally graded materials ; Natural frequencies ; Potential energy ; Shear deformation ; Shells (structures) ; Structural dynamics ; Analytical method ; Characteristic equation ; Constitutive relationships ; Energy method ; Functional graded materials ; Hamilton's principle ; Higher order shear deformation theory ; Principle of minimum potential energy ; Vibration analysis
  7. Source: 7th European Conference on Structural Dynamics, EURODYN 2008, 7 July 2008 through 9 July 2008 ; 2008 ; 9780854328826 (ISBN)