Abstract

In this work equations of motion are given for the one-dimensional elastic body. They are derived from three-dimensional theory of continuous media with the assumption of the finite displacements and deformations. This model incorporates the constrained cross-sectional warping, due to the torsion and shearing, and coupled bending, torsion and stretching. Complex geometry of the body was taken into consideration which is spatial curved, pre-twisted and tapered, and having non-symmetrical cross-sections.