Modal Calculus of the Reinforced Concrete Bridges Modeled as a Rigid Solid Beared on Viscous Elastic Neoprene Supports

Abstract

This paper proposes an approach of a six degree dynamic model of a rigidsolid with some types of symmetries. These symmetries lead to simplified mathematical models, which are more easily to solve. If the rigid-solid is symmetrical beared by triorthogonal elastic links, the mathematical model becomes still simple and the vibrations are decoupled into four subsystems of movements: side slipping and rolling, forward motion and pitching, lifting motion, gyration. There are two case studies of modal analysis: for a viaduct with five arches made from reinforced concrete „U” beam and for an arch (between two piers of the viaduct) made from four reinforced concrete „U” beams.