Abstract

This paper presents the procedures and rationale of a numeric method for determining the dynamic response of a flexible vehicle moving along a flexible supporting structure. A discrete-element model of the structure is used in the approach which permits a concise matrix formulation of the problem based more on physical than mathematical considerations. The primary factor in this discrete-element analysis is a time-dependent stiffness matrix that is established by a coordinate transformation operation and affected by 1) vehicle movement along the supporting structure and 2) intermittent detachment of the moving vehicle. Any initial curvature of the supporting structure is also taken into account. The development and results of a numerical experiment predicted on this approach are delineated.

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