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Explicit matrices for a composite beam-column with refined zigzag kinematics

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Abstract

This paper presents explicit expressions of the linear and geometric stiffness matrix, as well as the mass matrix and vector of equivalent nodal forces for a simple planar beam finite element based on the Refined Zigzag Theory. After a brief review of the theory, the matrices are derived via Hamilton’s principle and special anisoparametric (interdependent) shape functions. The \(C^{0}\)-continuous element shows remarkable accuracy in the analysis of composite laminated or sandwich beams and for particular structures with partial interaction of two or more subcomponents with interlayer slip.

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Authors and Affiliations

  1. MPT Engineering GmbH, Im Reith 34, 4221, Steyregg, Austria

    Heinz Wimmer

  2. Carinthia University of Applied Sciences, Villacher Str. 1, 9800, Spittal, Austria

    Heinz Wimmer

  3. Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Corso Duca degli Abruzzi, 24, 10129, Turin, Italy

    Marco Gherlone

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  1. Heinz Wimmer
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  2. Marco Gherlone
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Correspondence to Marco Gherlone.

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Wimmer, H., Gherlone, M. Explicit matrices for a composite beam-column with refined zigzag kinematics. Acta Mech 228, 2107–2117 (2017). https://doi.org/10.1007/s00707-017-1816-5

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  • DOI: https://doi.org/10.1007/s00707-017-1816-5

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