基于逆变换的路面不平度仿真研究

Study of simulation of road roughness based on inverse transform

针对使用现有方法仿真公路路面不平度时其结果存在误差的问题,研究了基于逆变换的路面不平度仿真的新方法。该方法直接研究给定的路面不平度功率谱密度,然后根据功率谱密度和离散FOURIER变换的性质以及信号采样定理,对数据进行截断、补充和一系列变换后获得路面的不平度。在考虑了汽车固有振动频率及行驶速度后,利用该方法对A、E两个等级的公路路面进行数值仿真。仿真结果显示:利用该方法所得路面不平度的功率谱密度与给定的功率谱密度准确一致,并且该方法简洁、便于使用。

When road roughness is simulated using the existing methods, the error between the simulation result and the true road roughness occurs, and sometimes the error is obvious. Aimed at this problem, a new method for simulating road roughness is introduced based on inverse transform in this paper. Road roughness is obtained by studying directly the given power spectral density, truncating and increasing data correctly and transforming the data according to FOURIER transform theory and sampling theorem. Considering the effect of the vehicle natural vibration frequency and velocity, the simulation and analysis are done on A, E-the two grades of road using this method. The results indicate that the power spectral density of the road roughness obtained is the same as the given, and this method is simple, practical and easy to use.