Abstract
This work presents a procedure to couple shell and Generalized Beam Theory, GBT, elements. The main focus of this procedure is the possibility to model mixed beam frame structures, which the traditional shell elements are applied at the joints and GBT elements are used to model the beams/columns. Such modeling technique can use the benefits of both elements. At the joints, shell elements can easily simulate different types of geometry conditions and details, such as stiffeners and holes; meanwhile, for the beams and columns, GBT can provide high performance, accuracy and an easy modeling approach with clear results.
Highlights
6.1 Type of connections to clarify the kinematic behavior in high modes . . 119 6.2 Elementary node to describe the kinematic behavior of the connection, 6.3 Kinematic mechanism of box connection; a) the stress compatibility; xi xii
Taking into account that the functional eq 2.62 is null for any arbitrary functions of longitudinal amplification, δ iV (x), the parentheses terms of the integral must be zero, which leads to the nonhomogeneous differential equation of equilibrium in Generalized Beam Theory (GBT): EiCM + KiCP iV,xxxx (x) − G iDMc +iDP −2μKiDμ iV,xx (x) + KiBiV (x) = iqv (s) fv (x) +iqw (s) fw (x) −iqx (s) Fx (x)
This study presents the variational formulation and the analysis of displacement and stress fields in GBT
Summary
Numerical example - GBT’s analysis of a generic segmented thinwalled cross-section. 2.2 Types of Distortion: a) transverse bending distortion due to the variation of transverse bending moments; b) transverse bending distortion due to the variation of transverse forces; c) transverse elongation distortion. . . 9 ix. Numerical example - GBT’s analysis of a generic segmented thinwalled cross-section. 2.2 Types of Distortion: a) transverse bending distortion due to the variation of transverse bending moments; b) transverse bending distortion due to the variation of transverse forces; c) transverse elongation distortion. 6.1 Type of connections to clarify the kinematic behavior in high modes . . 119 6.2 Elementary node to describe the kinematic behavior of the connection, 6.3 Kinematic mechanism of box connection; a) the stress compatibility; xi xii. A.5 transverse modal displacements of plate anti-symmetric modes: 5 to 9 . A.5 transverse modal displacements of plate anti-symmetric modes: 5 to 9 . 240 xiii xiv
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