Dynamics of an elastic L-shaped ring coupled to an internal frame

Analyzed is the dynamics of an elastic L-shaped ring coupled to an elastic frame joined at discrete locations of the ring perimeter. The approximate ring model is evaluated adopting a two-dimensional model of a short shell joined to a narrow annular disk along one of its boundaries thus forming the L-shaped cross-section. Coupling the ring to an internal frame is accomplished by segmenting the ring. The frame impedance matrix relating forces and displacements at terminations is then applied at junctions of ring segments corresponding to these terminations.

► Dynamics of rings and deep arches and limitations imposed by the 2-D theory of short shell.
► Analytical determination of frame dynamic impedance matrix at its terminations.
► Analytical coupling of frame and complete ring revealing stiffening and softening properties of frame compared to equivalent deep arch.
► Detailed analysis of the 2-D shell simulation including narrow ring to evaluate limitations of the simplified 1-D ring theory.