Application of the Newmark Numerical Method with Contact Algorithm to the Solution of the Vehicle-bridge Interaction

The algorithm based on the Newmark scheme that is written in the high-level Python programming language is applied for solution of vehicle-bridge interaction. NumPy as an extension to the Python is used to solve mathematical problems. Employment of the contact conditions is a crucial part of the algorithm which is based on the solution of the contact forces. Their values generate with regard of the mutual position of the contact points for both vehicle and bridge. The contact forces are defined as a loading on both model of the bridge and model of the vehicle in the place where the contact is defined. The results of the solution are compared with the results of the experimental measurement for the same conditions.