It is necessary to model and simulate the time histories of the road for ride dynamics of a vehicle subjected to the stochastic road excitation. This paper focuses on the mathematical model, algorithm design and simulation realization of road in time domain. The methods converting the frequency domain model of road irregularity to the time domain model were analyzed and the correlations between vehicle wheels and between tracks were taken into account in modeling the numerical road. Three main algorithms, harmony superposition, white noise filtration, and Inverse Fast Fourier Transform (IFFT) based on road power spectral density (PSD), were designed and integrated as a system of road simulation constructed on the MATLAB software platform. For the simulation to be as realistic as possible, several important aspects, including the bi-lateral track relation in time domain, the improvement of simulation algorithm and the integration of the methods were emphasized. The simulation example demonstrates that the applied methods are general and efficient, and the resulting time domain road agrees fairly well with the reality.%为了对道路随机激励下车辆的平顺性动力学进行研究首先必须建立道路高程的时间历程.为了对时域内道路的数学模型、算法设计和道路仿真实现的研究,分析了道路不平顺高程从频域向时域的转换方法并在建模数值道路过程中考虑了车轮之间以及两轮辙之间的相关性,设计了三种主要的道路模拟算法--谐波叠加法、白噪声过滤法和基于道路功率谱离散的逆Fourier变换法并将其于MATlab平台上集成为专用的道路仿真系统.为使仿真尽可能真实,包括时域中的双轮辙关系、道路仿真算法的改进以及多元算法的集成等方面也给予了重视.仿真算例研究表明了所用方法原理上的普适性、有效性,以及仿真结果与实际道路的一致性.
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