Experimental Testing of a Moving Force Identification Bridge Weigh-in-Motion Algorithm
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Bridge weigh-in-motion systems are based on the measurement of strain on a bridge and the use of the measurements to estimate the static weights of passing traffic loads. Traditionally, commercial systems employ a static algorithm and use the bridge influence line to infer static axle weights. This paper describes the experimental testing of an algorithm based on moving force identification theory. In this approach the bridge is dynamically modeled using the finite element method and an eigenvalue reduction technique is employed to reduce the dimension of the system. The inverse problem of finding the applied forces from measured responses is then formulated as a least squares problem with Tikhonov regularization. The optimal regularization parameter is solved using the L-curve method. Finally, the static axle loads, impact factors and truck frequencies are obtained from a complete time history of the identified moving forces.
KeywordsBridge Weigh-in-motion Force identification Regularization Dynamic programming Traffic loads
The authors would like to express their gratitude for the financial support received from the European 6th Framework Project ARCHES towards this investigation.
- 2.OBrien EJ, Žnidarič A, Dempsey A (1999) Comparison of two independently developed bridge weigh-in-motion systems. Heavy vehicle systems. Int J Veh Des 61/4:147–162Google Scholar
- 4.Rowley CW OBrien EJ, Gonzalez A (2006) Moving force identification algorithm for two-span continuous bridges using an eigenvalue reduction technique. In: Topping BHV, Montero G, Montenegro R (eds) Proceedings of the Eighth International Conference on Computational Structures Technology, Civil-Comp Press, Stirlingshire, UK, paper 142Google Scholar
- 5.Rowley CW (2007) Moving force identification of axle forces on bridges. Ph.D. thesis, Department of Civil Engineering, University College Dublin, IrelandGoogle Scholar
- 12.Tikhonov AN, Arsenin VY (1997) Solutions of ill-posed problems. Wiley, New YorkGoogle Scholar
- 18.Hansen PC (1998) Rank-deficient and discrete ill-posed problems. Numerical aspects of linear inversion. SIAM Monographs on Mathematical Modelling and Computation, PhiladelphiaGoogle Scholar
- 19.Žnidarič A, Lavrič I, Kalin J (2002) The next generation of bridge weigh-in-motion systems. In: Jacob B, OBrien EJ (eds) Proceedings of the Third International Conference on Weigh-in-Motion Systems (ICWIM3), Orlando, USA, 13–15 May, pp 231–239Google Scholar
- 20.Bogner FK, Fox RL, Schmit LA (1965) The generation of interelement-compatible stiffness and mass matrices by the use of interpolation formulae. In: Proceedings of the 1st Conference on Matrix Methods in Structural Mechanics, Air Force Institute of Technology, Wright Patterson Airforce Base, Ohio, OctoberGoogle Scholar
- 21.Logan DL (2000) A first course in the finite element method, 3rd edn. Brooks/Cole Thomson Learning, WadsworthGoogle Scholar
- 22.Przemineiecki JS (1968) Theory of matrix structural analysis, 1st edn. McGraw-Hill, New YorkGoogle Scholar
- 23.Chan THT, Yung TH (2003) A theoretical study of force identification using an existing prestressed concrete bridge. Engineering Structures 23:1529–1537Google Scholar
- 24.OECD (1997) Dynamic interaction of heavy vehicles with roads and bridge. Final report of the Committee, DIVINE Project, Ottawa, Canada, JuneGoogle Scholar