In order to address the challenges posed by extensive computational requirements,prolonged computation time and reduced calculation accuracy in the dynamic analysis of vehicle-track nonlinear spatial coupling systems,the vehicle-track nonlinear spatial coupling vibration model is enhanced along with improvements made to the cross iterative method.The dynamic models for the vehicle and track spatial subsystems are separately established using the finite element method.The wheel-rail contact geometric relationship is constructed based on the"trajectory method".A"projection point difference method"is proposed to determine the position of wheel-rail spatial contact points while introducing wheel-rail quasi-elastic contact for refinement purposes in order to enhance the wheel-rail contact relationship.Considering the characteristics of vehicle-track nonlinear spatial coupling systems,the algorithm for solving system dynamic equations based on Newmark numerical integration and cross iterative methods has been improved while providing a comprehensive outline of numerical calculation steps.The effectiveness of the improved model and algorithm is verified by comparing with the calculation results of related literatures.The study shows that:this enhanced model offers superior analytical accuracy enabling faster localization of wheel-rail spatial contact points;meanwhile,the refined algorithm presents a more complete calculation process with clearer steps;both enhancements contribute to improved calculation accuracy without compromising efficiency,thus facilitating easier implementation in numerical programming applications as well as convenient engineering utilization.