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 C0-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.

Explicit matrices for a composite beam-column with refined zigzag kinematics / Wimmer, Heinz; Gherlone, Marco. - In: ACTA MECHANICA. - ISSN 0001-5970. - ELETTRONICO. - 228:6(2017), pp. 2107-2117. [10.1007/s00707-017-1816-5]

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

Gherlone, Marco
2017

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 C0-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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2689765
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