Game coordination method for decomposition conflict of dynamic design indicators of high-speed train bogie
In order to solve the problems of high subjectivity,poor interpretability,low efficiency,and lack of consideration of the interaction between design indicators inherent in the conventional multi-objective optimization method for the dynamic performance of high-speed trains,a decomposition and coordination method of high-speed train bogie dynamic design indicators based on game theory was proposed.First,the decomposition mapping between 7 design indicators of dynamic performance and 13 design parameters of the bogie was established based on the results of sensitivity analysis.The conflict relationship in the decomposition of dynamic design indicators was analyzed,and conflict elements were extracted.Then,the decomposition coordination of conflicting dynamic design indicators was transformed into a game process,determining the decision structure of the game,constructing utility functions of game players,and establishing a master-slave game coordination model of conflicting performance.Furthermore,a Nash equilibrium solution algorithm based on genetic algorithm and quadratic programming was designed,with the Nash equilibrium as the result of the decomposition of design indicators.Finally,by taking the game coordination of high-speed train stability and curve negotiation performance as an example,the feasibility and effectiveness of the game coordination model and solution method were verified.The results show that the method can quickly obtain the results similar to the actual design parameters of high-speed trains without relying on manual settings.The critical speed,derailment coefficient,wheel load reduction rate,and other indicators can satisfy the requirements under the results.By incorporating game theory into the multi-objective optimization of dynamic performance,it can be done to achieve not only a dynamic performance that is relatively balanced in terms of linear stability and curve passing safety but also a reduction in the number of design iterations and an improvement in design efficiency.What's more,the Nash equilibrium in the mathematical sense is obtained,which greatly reduces subjectivity.The research results can provide a reference for the design of high-speed train suspension systems and the coordinated optimization of dynamic performance.
high-speed traindynamicsdesign indicatorsdecomposition-coordinationgame theory
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