路面时域模拟的谐波叠加组分中相位角的相干性研究

基于谐波叠加法所生成的路面不平度特性反演了左右轮路面的自功率谱密度和互功率谱密度函数，并根据左右轮的相干函数推导出了谐波叠加法中左右轮路面不平度特性中对应谐波叠加组分相位角的解析相干关系，由此获得了考虑轮轨相干关系的3维路面不平度仿真模型.基于Matlab的3维路面模拟结果表明，自功率谱密度几乎重合，左右轮的相干函数也吻合较好，这验证了所推导的谐波叠加组分相位角的相干关系在计算仿真中具有较高的可信度，也为3维路面模拟提供了更加可信的仿真模型. 

Coherence of Phase Angle of Harmonic Superposition Components in Time Domain Simulation of Road Roughness for Right and Left Wheel Tracks

Based on road roughness profiles generated by harmonic superposition method, the auto-power spectral density and cross-power spectral density characteristics were reversed. According to the coherence function of the left and right wheel tracks, the analytic coherence relation of the phase angles of the corresponding harmonic superposition components in the road roughness profiles of the left and right wheel tracks generated by harmonic superposition method was derived. Taking the coherence of wheel tracks into account, a model of 3D road surface roughness was built. The simulation results of 3D road roughness profile based on Matlab showed that the auto-power spectral densities were almost identical, and the simulation coherence function of the left and right wheel tracks was in good agreement with the specified coherence function, which verifies the high reliability of the phase angle correlation of the harmonic superposition components in computer simulations. It also provides a more reliable simulation model for 3D road simulation.