Euler Bernoulli Theory for a 3-Dimensional,Variable-Curvature Beam


SAKMAN L. E., MUTLU A.

XIV International Scientific Conference Machines, Technologies, Materials, Borovets, Bulgaria, 15 - 18 March 2017, vol.1, no.1, pp.18-19, (Full Text)

  • Publication Type: Conference Paper / Full Text
  • Volume: 1
  • City: Borovets
  • Country: Bulgaria
  • Page Numbers: pp.18-19
  • Istanbul University-Cerrahpasa Affiliated: Yes

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.