A generalized model for heterogeneous and anisotropic beams including section distortions

Chebyshev collocation method for the free vibration analysis of geometrically exact beams with fully intrinsic formulation

“…In order to obtain the stiffness matrix of composite beams with arbitrary complex cross-sections a number of finite element based discretization tools have been developed, e.g. see Morandini et al (2010), Yu et al (2012) and Genoese et al (2014) in which Saint-Venant effect (including in-plane and out-of-plane sectional warping deformation) are incorporated. The stiffness matrix obtained from any of such tools can be directly used as the constitutive equation in current beam model.…”

Effective treatment of complex statical and dynamical load combinations within shakedown analysis of 3D frames

“…where the coefficients of the cross-section compliance matrix H can be obtained as in [29,27,30] (see also [31,32] for the extension to generic anisotropic materials).…”

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

“…Finally, it is noticed that in the case that nonuniform torsional effects (normal and secondary shear strains and stresses) are ignored in the presented equations, calling it for simplicity as "modified" uniform torsion theory, the relations of the above established initial boundary value problem (Eqs. (23)- (25)) are simplified as…”

“…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.…”