A method to identify moving forces on a continuous bridge has been developed in this paper. The bridge is modelled as a BernoulliβEuler beam and the boundary value problem of the beam is solved to get the exact mode shape functions of the vibrating beam with intermediate supports. As the number of s
STUDY ON DIFFERENT BEAM MODELS IN MOVING FORCE IDENTIFICATION
β Scribed by S.S. LAW; X.Q. ZHU
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 270 KB
- Volume
- 234
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
Several methods have been developed recently to identify moving forces on a beam. The results from all of them exhibit #uctuations at the beginning and end of the time history and they are natural outcomes of the ill-conditioned inverse problem. Accuracy of the identi"ed forces also depends on the parameters of the beam}force system which have not been systematically studied. This paper employs Tikhonov regularization technique to provide bounds to the ill-conditioned results in the identi"cation problem. The calculation of the optimal regularization parameter is discussed. The improved algorithm is then used to study the e!ect of di!erent parameters on the identi"cation results through single-force and multi-forces identi"cation. Both the Timoshenko beam theory and the Euler}Bernoulli beam theory are included in the study for a comparison. Laboratory results on two moving forces identi"cation are also presented for illustration. Timoshenko beam model is found better than the Euler}Bernoulli beam model in the identi"cation, and the limits of applications of the moving force identi"cation method are also reported.
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