Structural Engineering and Mechanics

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Eight-node field-consistent hexahedron element in dynamic problems

  • Rajendran, S. (Structural Division, National Aerospace Laboratories) ;
  • Prathap, G. (Structural Division, National Aerospace Laboratories)
  • Published : 1999.07.25
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Abstract

Superior performance of field consistent eight-node hexahedron element in static bending problems has already been demonstrated in literature. In this paper, its performance in free vibration is investigated. Free vibration frequencies of typical test problems have been computed using this element. The results establish its superior performance in free vibration, particularly in thin plate application and near incompressibility regimes, demonstrating that shear locking, Poisson's stiffening and volumetric locking have been eliminated.

Keywords

References

  1. Bathe, K.J. and Wilson, E.L. (1976), Numerical Methods in Finite Element Analysis, Prentice Hall, Englewood Cliffs, NJ.
  2. Chandra, S. and Prathap, G. (1989), "A field-consistent formulation for the eight-node solid finite element", Comput. & Struct, 33, 345-355. https://doi.org/10.1016/0045-7949(89)90005-9
  3. Loikkanen, M.J. and Irons, B.M. (1979), "A eight-node brick element", Int'l Journal Numerical Method Eng., 20, 593-615.
  4. MSC/NASTRAN User's Manual (1994), The MacNeal-Schwendler Corporation, Los Angeles, U.S.A.
  5. Prathap, G. (1985), "The poor bending response of the four-node plane stress quadrilateral", Int'l Journal Numer. Method Eng., 21, 825-835. https://doi.org/10.1002/nme.1620210505
  6. Prathap, G. (1993), The Finite Element Method in Structural Mechanics, Kluwer Academic Press, Dordrecht.
  7. Timoshenko, S., Young, D.H. and Weaver Jr., W. (1974), Vibration Problemss in Engineering, 4th ed., John Wiley & Sons, New York.
  8. Zienkiwicz, O.C. (1977), The Finite Element Method, 3rd ed., McGraw-Hill, London.

Cited by

  1. A mesh distortion tolerant 8-node solid element based on the partition of unity method with inter-element compatibility and completeness properties vol.43, pp.10, 2007, https://doi.org/10.1016/j.finel.2007.05.008
  2. Finite element linear and nonlinear, static and dynamic analysis of structural elements, an addendum vol.19, pp.5, 2002, https://doi.org/10.1108/02644400210435843
  3. A hybrid 8-node hexahedral element for static and free vibration analysis vol.21, pp.5, 2005, https://doi.org/10.12989/sem.2005.21.5.571