Interaction response of a vehicle running on a suspended beam with support settlement

摘要

The total response of the suspended beam is decomposed into two parts: the static response and the dynamic component. To resolve this non-homogeneous boundary problem, an exact solution for static displacement is presented by exerting the support movements on the suspended beam statically. Then, the coupled equations in terms of the dynamic component of the suspended beam associate with the moving vehicles are transformed into a set of nonlinearly coupled generalized equations by Galerkin's method. Instead of solving the coupled equations for the dynamic generalized system moving vehicles, this study treats all the nonlinear coupled terms as pseudo forces, and then solves a set of decoupled equations using Newmark's β method by an incremental-iterative procedure including three phases: predictor, corrector, and equilibrium-checking phases. Numerical investigations demonstrate that the differential ground settlements involving horizontal and vertical components can amplify both the response of the suspended beam and the moving vehicle significantly, especially, for the vehicle moving at the entrance and the departure of the bridge.