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A new four-node quadrilateral plate bending element for highly sparse and banded flexibility matrices

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Abstract

In this paper, an efficient method is developed for the formation of null bases of four-node quadrilateral plate bending finite element models, corresponding to highly sparse and banded flexibility matrices. This is achieved by introducing a new four-node quadrilateral plate bending element, and using special graphs associated with the finite element models. The results are compared to those of the previously developed graph theoretical and algebraic force methods, and also the displacement approach.

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Authors and Affiliations

  1. Institute for Mechanics of Materials and Structures, Vienna University of Technology, Karlsplatz 13, 1040, Vienna, Austria

    A. Kaveh

  2. Iran University of Science and Technology, Tehran, Iran

    A. Kaveh & E. Naseri Nasab

Authors
  1. A. Kaveh
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  2. E. Naseri Nasab
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Correspondence to A. Kaveh.

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Kaveh, A., Nasab, E.N. A new four-node quadrilateral plate bending element for highly sparse and banded flexibility matrices. Acta Mech 209, 295–309 (2010). https://doi.org/10.1007/s00707-009-0180-5

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  • DOI: https://doi.org/10.1007/s00707-009-0180-5

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