... and the effects of both free parameters have been shown. As a case study, the bending and buckling of nanobeam structures has been studied. A conformal Euler–Bernoulli theory was presented. The application of the CD definition leads to an easier numerical solution than for former classical fractional models...

...S. A. Fazelzadeh; A. Mazidi This paper deals with the nonlinear aeroelastic behaviors of bending-torsion wings subjected to a transverse follower force. The nonlinear structural wing formulation is based on von Karman large deformation theory. In order to accurately consider the spanwise location...

... be used to predict the cross section deformation and its coupling with the extension and bending of the belt drives and rubber chains. The ANCF cross section deformation results are validated by comparison with the results obtained using solid finite elements in the case of a simple tension test problem...

... on an elastic line approach. In the last formulation, the shear locking of the antisymmetric bending mode is avoided by the application of either the two-field Hellinger–Reissner or the three-field Hu–Washizu variational principle. The comparison is made by means of linear static deflection and eigenfrequency...

... , H. , and Shabana , A. A. , “ Convergence of the Finite Element Solution in Extreme Bending Problems ,” in preparation. Figures 8–13 in Ref. 1 contain results of the simulation of a very flexible pendulum. The results presented in this paper are obtained using 4 elements. While...

... of the cross section and other modes of deformations such as bending and they lead to a new set of modes referred to in this paper as the ANCF-coupled deformation modes. The effect of the ANCF-coupled deformation modes can be significant in the case of very flexible structures. In this investigation, three...