Research on the application of the parameter freezing precise exponential integrator in vehicle-road coupling vibration

作     者：Yu ZHANG Chao ZHANG Shaohua LI Shaopu YANG Yu ZHANG;Chao ZHANG;Shaohua LI;Shaopu YANG

作者机构：State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering StructuresShijiazhuang Tiedao UniversityShijiazhuang 050043China Department of Engineering MechanicsShijiazhuang Tiedao UniversityShijiazhuang 050043China Hebei Research Center of the Basic Discipline Engineering MechanicsShijiazhuang Tiedao UniversityShijiazhuang 050043China 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学(英文版))

年 卷 期：2025年第46卷第2期

页      面：373-390页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation of China(No.U22A20246) the Key Project of Natural Science Foundation of Hebei Province of China(Basic Research Base Project)(No.A2023210064) the Science and Technology Program of Hebei Province of China(Nos.246Z1904G and 225676162GH) 

主　　题：vehicle-road coupled dynamics dynamic response parameter freezing precise exponential integrator Newmark-βintegration 

摘      要：The vehicle-road coupling dynamics problem is a prominent issue in transportation,drawing significant attention in recent *** dynamic equations are characterized by high-dimensionality,coupling,and time-varying dynamics,making the exact solutions challenging to *** a result,numerical integration methods are typically ***,conventional methods often suffer from low computational *** address this,this paper explores the application of the parameter freezing precise exponential integrator to vehicle-road coupling *** model accounts for road roughness irregularities,incorporating all terms unrelated to the linear part into the algorithm s inhomogeneous *** general construction process of the algorithm is *** validity of numerical results is verified through approximate analytical solutions(AASs),and the advantages of this method over traditional numerical integration methods are *** parameter freezing precise exponential integrator schemes are constructed based on the Runge-Kutta framework,with the fourth-order four-stage scheme identified as the optimal *** study indicates that this method can quickly and accurately capture the dynamic system s vibration response,offering a new,efficient approach for numerical studies of high-dimensional vehicle-road coupling systems.