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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 28
Edited by: M. Papadrakakis and B.H.V. Topping
Paper II.2

The Kantorovich - Finite Difference Method and its Application to Bridge Structures

J.Q. Zhao, M.S. Cheung and S.F. Ng

Department of Civil Engineering, University of Ottawa, Ottawa, Canada

Full Bibliographic Reference for this paper
J.Q. Zhao, M.S. Cheung, S.F. Ng, "The Kantorovich - Finite Difference Method and its Application to Bridge Structures", in M. Papadrakakis, B.H.V. Topping, (Editors), "Computational Structural Engineering for Practice", Civil-Comp Press, Edinburgh, UK, pp 43-46, 1994. doi:10.4203/ccp.28.2.2
The Kantorovich - finite difference method is developed and applied to the analysis of bridge structures in this paper. Firstly, the deck of the bridge is mapped into an unit square in the xi-eta plane. Secondly, the governing partial differential equation of the plate is reduced to the ordinary differential equation in the longitudinal direction of the bridge by the routine Kantorovich method. Finally, the finite difference method is employed to solve the above-derived ordinary differential equation. The Mindlin plate theory is incorporated into the differential equation and, as a result, the effect of shear deformation of the plate is taken into account. Numerical examples show that the proposed new numerical model is versatile, efficient and reliable for the analysis of bridge structures.

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