Orthogonal function in moving loads identification on a multi-span bridge

Assumed mode shapes are often used to determine the responses of a bridge d eck under the passage of moving loads. However, the use of these mode shape s in the inverse problem of force identification would lead to unnecessary errors due to their inherent inaccuracy. Direct differentiation of the meas ured responses is usually used to obtain the velocities and accelerations, and this practice leads to large errors when measurement noise is included. This paper derives the analytical vibration mode shapes of a continuous be am on rigid supports from the eigenvalue and eigenfunction analysis, thus e liminating the modelling errors from the assumed mode shapes. A generalized orthogonal function approach is proposed to obtain the derivatives of the bridge modal responses, and this eliminates the errors due to measurement n oise. The moving loads are identified using the regularization method on th e equations of motion. Computational simulations and laboratory test result s show that the method is effective and accurate for identifying a group of moving loads. (C) 2001 Academic Press.