Abstract
Damage identification method based on modal shape change can be used to detect hinge joint damage of hollow slab bridges. However, in general, the modal shapes are usually obtained by identifying experimental data or finite element simulation, but the theoretical mechanism between hinge joint damage and the modal shape change is rarely investigated. In this paper, the influence of damage on modal shape is explored from the structural level, and an analytical transverse modal shape calculation method for the hollow slab bridge with hinge joint damage based on equivalent orthotropic plate is proposed. The analytical relationship between hinge joint damage and transverse modal shapes is obtained by equivalent hinge joint to elastic boundary condition. The finite element model of a hollow slab bridge is compared and verified with this method. The comparison results demonstrate that the analytical solution of the modal shape of hollow slab bridge with hinge joint damage can be precisely obtained by the proposed method, and the analytical transverse modal shape of hollow slab bridge with different crack heights coincide with the ones of the finite element solution.
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