MIXED FINITE-DIFFERENCE SCHEME FOR ANALYSIS OF SIMPLY SUPPORTED THICK PLATES

A mixed finite-difference scheme is presented for the stress and free vibration analysis of simply supported non homogeneous and layered orthotropic thick plates. The analytical formulation is based on the linear, three-dimensional theory of orthotropic elasticity and a Fourier approach is used to reduce the governing equations to six first-order ordinary differential equations in the thickness coordinate. In the finite difference discretization two interlacing grids are used for the different fundamental unknowns in such a way as to reduce both the local discretization error and the bandwidth of the resulting finite-difference field equations. Numerical studies are presented for the effects of reducing the interior and boundary discretization errors and of mesh refinement on the accuracy and convergence of solutions. It is shown that the proposed scheme, in addition to a number of other advantages, leads to highly accurate results, even when a small number of finite difference intervals is used.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/00457949
• Corporate Authors:

  Pergamon Press, Incorporated

  Maxwell House, Fairview Park
  Elmsford, NY  United States  10523
• Authors:
  • Noor, A K
• Publication Date: 1973-9

Media Info

• Features: References;
• Pagination: p. 967-982
• Serial:
  • Computers and Structures
  • Volume: 3
  • Issue Number: 5
  • Publisher: Elsevier
  • ISSN: 0045-7949

Subject/Index Terms

• TRT Terms: Finite differences; Orthotropic plates; Plates (Engineering); Vibration
• Old TRIS Terms: Orthotropic plate theory; Plate vibration
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00053973
• Record Type: Publication
• Source Agency: Engineering Index
• Files: TRIS
• Created Date: May 7 1974 12:00AM