第１部門②

[2A07-12-03] Application of Meta-Modeling Theory to Thin Curved Beam Using Curvilinear Coordinate System and Perturbation Expansion

*Muneo Hori¹, Kohei Fujita² (1. Japan Agency for Marine-Earth Science and Technology, 2. The University of Tokyo)

Keywords:thin curved beam, meta-modeling theory, differential geometry

This paper presents rigorous formulation of a thin curved beam based on the meta-modeling theory proposed
by the authors. A curvilinear coordinate system inherent to the configuration of the beam is introduced;
it is shown that the basis vectors of the system must change on the cross section unlike the conventional
treatment of the curved beam. The perturbation expansion that uses the ratio of the beam thickness
and radius is applied to displacement functions. The governing equations for displacement functions are
derived from a Lagrangian of continuum mechanics. Discussions are made on the limitation of the present
formulation.