Abstract
The intrinsic localized mode (ILM) in a spatially periodic and articulated structure is examined in detail numerically. The structure is composed of identical, uniform and rigid members connected with neighboring ones at junctions through couplers giving nonlinear restoring moments. The system, with both free ends, constitutes a constrained Hamiltonian system subject to holonomic constraints by continuity of displacements at junctions. The formulation of flexural motions of the system has been already given in the previous paper [Y. Watanabe, K. Hamada, and N. Sugimoto: Wave Motion 45 (2007) 100], where the existence and properties of the stationary ILMs were examined in detail. In this paper, it is revealed by calculations under asymmetrical initial conditions with respect to the center of the structure, that there are two types of mobile ILMs: one is a trapped type at either end of the structure and the other is a propagating type at a constant speed, but subject to reflections at both ends. It is the former that shows the general behavior of the ILMs in the structure and the stationary type of ILM found in the previous paper should be regarded as a special case.
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