THE CALCULATING METHOD FOR INTERACTION OF A BRIDGE CROSSING AND A HIGHSPEED TRAIN AT VARIABLE SPEED (ELABORATING STANDARDS FOR HIGH-SPEED RAILWAYS

Boundary elements for rods on an elastic base are proposed for the calculation of bridges on the HSR when moving at a variable speed of an inertial load (railway train). A set of linear and trigonometric functions is used to approximate the displacements at the construction of boundary elements. These elements are used to calculate the vibrations of the rail track outside the bridge and the track on the bridge, together with double-track girder superstructures connected through the interlayers at high-speed movement of arbitrary power and inertial loads. To construct the methodology, the step method proposed earlier by the author of the article for solving problems of unsteady dynamics of structures and the method of calculating structures for the action of mobile force and inertial loads (the method of nodal accelerations) are used.