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Natural frequencies of stiffened and unstiffened laminated composite plates

Ahmadian, M. T ; Sharif University of Technology | 2007

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  1. Type of Document: Article
  2. DOI: 10.1115/IMECE2007-42801
  3. Publisher: American Society of Mechanical Engineers (ASME) , 2007
  4. Abstract:
  5. In this study the free vibration of laminated composite plates with and without stiffeners subjected to axial loads is carried out using finite element method. The plates are stiffened by laminated composite strip and Timoshenko beam. The plates and the strips are modeled with rectangular 9 noded isoparametric quadratic elements with three degrees of freedom per node and the Timoshenko beam is modeled with linear 2 noded isoparametric quadratic elements with 2 degrees of freedom per node. The effects of both shear deformation and rotary inertia are implemented in the modeling of plate and stiffener. The governing differential equations are obtained in terms of the mid-plane displacement components and shear rotations using Hamilton's principle. The effects of axial tension and compression loads and stiffeners on the natural frequencies of the plate are investigated. Results indicate the tension loads and stiffeners will increase the natural frequencies while the compression loads reduce the natural frequencies. The buckling force of plate is computed by increasing the absolute value of compressive force until the first natural frequency tends to zero. Results of simple cases are compared with finding in the literature and a good agreement was achieved. Copyright © 2007 by ASME
  6. Keywords:
  7. Degrees of freedom (mechanics) ; Differential equations ; Finite element method ; Laminating ; Mechanics ; Particle beams ; Shear flow ; Vibrations (mechanical) ; Laminated composites ; Natural frequencies ; Stiffness ; Structural design ; Compression loads ; Compressive forces ; Displacement components ; Governing differential equations ; Hamilton's principle ; Laminated composite plates ; Quadratic element ; Three degrees of freedom ; Isoparametric quadratic elements ; Stiffeners ; Plates (structural components)
  8. Source: ASME 2007 International Mechanical Engineering Congress and Exposition, IMECE 2007, 11 November 2007 through 15 November 2007 ; Volume 7 , 2007 , Pages 593-600 ; 0791843017 (ISBN)
  9. URL: https://asmedigitalcollection.asme.org/IMECE/proceedings-abstract/IMECE2007/43017/593/325522