Considering continuous support conditions in moving force identification

Abstract

A method is presented to identify moving forces on a continuous bridge. The bridge is modeled as a continuous supported Bernoulli-Euler beam and the boundary value problem of the beam is solved to get the exact mode shape functions of vibrating beam with inner supports. The bending moment responses are used to study the inverse problem in identifying moving forces on a bridge. The SVD (singular value decomposition) is used in the solution to study the inverse problem. Two time varying forces moving over the bridge are simulated to evaluate the method. White noise is added to simulated bending moment responses to study the effect of noise in moving forces identification problem for different numbers and arrangements of sensors. Results obtained from simulation study show that the method is effective in identifying moving forces and acceptable results can be obtained

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