Variational Theory of Motion of Curved, Twisted and Extensible Elastic Rods

Abstract

The variational theory of three dimensional motion of curved twisted and extensible elastic rods is obtained based entirely on the kinematical variables of position and rotations. The constitutive relations that define the resistive couples and the axial force as gradients of the strain energy function are established. A candidate for the strain energy function, derived on the basis of classical assumptions, is presented.

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Document Details

Document Type
Technical Report
Publication Date
Jan 18, 1993
Accession Number
ADA261028

Entities

People

  • Dimitris C Lagoudas
  • Iradj Tadjbakhsh

Organizations

  • Rensselaer Polytechnic Institute

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Angular Momentum
  • Bending Moments
  • Boundaries
  • Cartesian Coordinates
  • Curvature
  • Differential Equations
  • Engineering
  • Equations
  • Equations Of Motion
  • Euler Equations
  • Geometry
  • Materials
  • Momentum
  • Rotation
  • Shear Modulus
  • Three Dimensional
  • Variational Equations

Readers

  • Calculus or Mathematical Analysis
  • Materials Science and Engineering.
  • Plasma Physics / Magnetohydrodynamics