EULER BERNOULLI THEORY FOR A 3-DIMENSIONAL,VARIABLE-CURVATURE BEAM


SAKMAN L. E., MUTLU A.

International Journal for Science, Technics and Innovations for the Industry "Machines. Technologies. Materials", no.4, pp.155-156, 2017 (Peer-Reviewed Journal)

Abstract

The linear theory including the effects of bending-torsion coupling and rotatory inertia is used to derive the equations of motion for a space beam with variable curvature.  The governing differential equations of motion are derived based on Euler-Bernoulli beam theory via Hamilton’s principle.  The full, coupled system of governing partial differential equations has a total order of 12.