This paper presents a novel interdependent interpolation finite element for a higher order beam capable of capturing shear-lag phenomenon and overall shear deformability of composite beams. After a brief overview of the beam kinematics and of the differential solving equations, the stiffness matrix and the nodal forces to be applied in a standard finite element procedure are derived in a consistent way by exploiting properties of exponential matrix ad their application in the solution of linear differential equation systems. Some comparisons with solutions obtained by using finite elements with polynomial interpolating functions demonstrate the capability of the new element.
Interdependent interpolation element for shear deformable composite beams / Carbonari, Sandro; Dezi, Luigino; Gara, Fabrizio; Leoni, G.. - STAMPA. - (2013), pp. 673-680. (Intervento presentato al convegno Atti del XXIV Congresso C.T.A. tenutosi a Torino nel 30 Settembre - 2 Ottobre 2013).
Interdependent interpolation element for shear deformable composite beams
CARBONARI, SANDRO;DEZI, LUIGINO;GARA, Fabrizio;
2013-01-01
Abstract
This paper presents a novel interdependent interpolation finite element for a higher order beam capable of capturing shear-lag phenomenon and overall shear deformability of composite beams. After a brief overview of the beam kinematics and of the differential solving equations, the stiffness matrix and the nodal forces to be applied in a standard finite element procedure are derived in a consistent way by exploiting properties of exponential matrix ad their application in the solution of linear differential equation systems. Some comparisons with solutions obtained by using finite elements with polynomial interpolating functions demonstrate the capability of the new element.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.