基于紧致插值方法对气动制动管路研究

紧致插值方法可用于气动制动管路中气柱状态的分析，考虑管路内的热交换和摩擦因素等影响，利用气体动力学原理建立管路的数学模型。通过一般迎风差分方法对管路进行分析后，再利用紧致差值方法对管路内气柱的状态进行分析，然后结合MATLAB软件进行仿真计算。研究表明：通过紧致插值方法研究气动管路中的重要参数，得出其状态值与理论值基本吻合，从而确保了该方法的可行性，为后续分析气动制动系统中管路部分的研究提供了基础。

Research on Pneumatic Brake Pipeline Based on Compact Interpolation Method

The constrained interpolation profile method can be used to analyze the state of the gas column in the pneumatic brake pipeline, consider the effects of heat exchange and friction factors in the pipeline, and establish the mathematical model of the pipeline by using the gas dynamics principle. After the pipeline is analyzed by the general windward differential method, the state of the gas column in the pipeline is analyzed by the compact difference method, and then combined with MATLAB software for the simulation calculation. The research shows that the important parameters in the pneumatic pipeline are studied by the compact interpolation method, and the state value is basically consistent with the theoretical value. This ensures the feasibility of the method and provides a basis for the subsequent analysis of the pipeline part of the pneumatic brake system.