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.File | Dimensione | Formato | |
---|---|---|---|
2017_AM_RZT_Explicit_Draft.pdf
accesso aperto
Descrizione: Paper submitted after having implemented reviewers' corrections
Tipologia:
2. Post-print / Author's Accepted Manuscript
Licenza:
PUBBLICO - Tutti i diritti riservati
Dimensione
717.32 kB
Formato
Adobe PDF
|
717.32 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
https://hdl.handle.net/11583/2689765
Attenzione
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo