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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 28
COMPUTATIONAL STRUCTURAL ENGINEERING FOR PRACTICE 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 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
Abstract
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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