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.

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