A meshfree unit-cell method for effective planar analysis of cellular beams. Computers & Structures. (A.R. Zainal Abidin, B.A. Izzuddin & F. Lancaster, 2017)


Highlights

• Novel method for planar analysis of cellular beams, as a precursor to accurate local buckling analysis of web components.
• Proposal of a unit-cell approach, taking advantage of identical cells along beam.
• Adoption and enhancement of Element Free Galerkin method for application around irregular plates with openings.
• Development of novel unit-cell super-element formulation utilising flexibility concepts.
• Realisation of considerable modelling and computational benefits, paving the way for direct application in design.

Abstract

This paper presents a novel approach for accurate and efficient planar response analysis of cellular beams, which provides the necessary input for local out-of-plane buckling analysis of web components. The proposed approach utilises the super-element concept defined for unit-cells, achieving further efficiencies through an enhanced Element-Free Galerkin (EFG) approach for establishing the planar super-element response. Several examples are presented, firstly at the level of unit-cells, where the computational benefits of the EFG method are highlighted, and finally at the overall level of cellular beams, where the superior performance of the unit-cell approach with virtually no compromise in accuracy is demonstrated.

Keywords

  • Meshfree methods;
  • Element-Free Galerkin method;
  • Planar response;
  • Cellular beams;
  • Unit-cell formulation

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