A higher order thin-walled beam model including warping and shear modes

Advanced 3D beam element of arbitrary composite cross section including generalized warping effects

“…Thus, using constant boundary elements and the collocation technique, the following system of linear algebraic equations is obtained for each subdomain as where H m , G m are N m N m known coefficient matrices originating from the integration of the kernels (see Equation (34)) over the boundary curve. f m is an N m 1 known vector containing the values of the first integrals in the right-hand side of Equation (34). Moreover,…”

“…Not all studies deal with the torsional behavior of the beam, whereas in most cases, it is examined within the context of classical nonuniform torsion theory . Beam elements of thin‐walled homogeneous cross sections without the aforementioned simplifications, capable of dealing with torsional shear lag effects as well, have been developed in the studies of .…”

“…Not all studies deal with the torsional behavior of the beam, whereas in most cases, it is examined within the context of classical nonuniform torsion theory [27,29,32]. Beam elements of thin-walled homogeneous cross sections without the aforementioned simplifications, capable of dealing with torsional shear lag effects as well, have been developed in the studies of [33,34].The development of advanced beam elements without adhering to the simplifying assumptions of thin-walled structures has received limited amount of literature. Among these studies, Park et al.…”

Torsional vibration analysis of bars including secondary torsional shear deformation effect by the boundary element method

“…Moreover, an insightful discussion of the problem has been presented by Kollar and Pluzsik [17], who exploit a Taylor series technique and analytical solutions of suitable 3d shell models to calculate accurate values of stiffness properties for composite thin walled bars, without adhering to displacement field postulates. Special techniques not employing a torsional shear correction factor have also been proposed in the literature [18][19][20][21][22][23][24][25][26][27]. In these contributions however, a multitude of warping variables is required to tackle the problem at hand.…”

A higher order beam model for thin-walled structures with in-plane rigid cross-sections

“…An efficient procedure for obtaining warping modes is derived from the linear eigenvalue problem associated with the solution of the model's governing equations, representing an alternative procedure to the one presented by the authors in Vieira [53].…”