Abstract
In this paper, the most general higher-order equations of one-dimensional static and dynamic theories for generally anisotropic elastic beams are proposed by expanding the displacements of infinite Power series with respect to the transverse coordinate of the beam.
Several beam theories which were proposed previously, can be deduced by the particular cases with employment of the lower-order terms of our theory and with specialization of the constitutive equations.
On the other hand, we apply the previously proposed plate theories including the effect of transverse deformations to the beam analysis, and examine the special theoretical and numerical charachteristics of the various beam theories through the application to some static and dynamic problems.
