The problem statement and the mathematical model of calculation of designs of expansion joints of bridges

Abstract

The article presents the formulation of the problem and the construction of a mathematical model for calculating bridge expansion joint structures that ensure safe and durable operation of bridge structures under various loads. Temperature, shrinkage, transport and dynamic effects, as well as movements of superstructures resulting from these factors, are considered. The mathematical model is based on the equations of equilibrium and compatibility of deformations, as well as on the provisions of the theory of elasticity and structural mechanics. The model takes into account the geometric and physico-mechanical characteristics of materials, nonlinear deformations and the conditions of interaction of the deformation seam with the superstructure and bridge supports. For the numerical implementation of the proposed approach, finite element methods are used to take into account the complex geometry and heterogeneity of loads.