MACHINES
EULER BERNOULLI THEORY FOR A 3-DIMENSIONAL, VARIABLE-CURVETURE BEAM
- 1 Faculty of Engineering, Department of Mechanical Engineering, Istanbul University, Turkey
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.