中文摘要：

针对轨道短波不平顺问题,提出了一种基于离散二进制小波的轨道短波不平顺数值模拟方法,将ISO 3095标准谱作为目标函数,得到了ISO 3095标准谱和小波系数的关系,给出了数值模拟算法流程与步骤,并将数值模拟结果与上海某段地铁实测结果进行了对比分析。分析结果表明：合适的小波分解层数为8层,最低层包含的波长范围为512~1 024mm;短波不平顺数值模拟时域波形符合实际轨道短波不平顺的统计特征,呈现非平稳性,幅值分布范围为-0.15~0.15mm;数值模拟结果与ISO 3095标准谱之间存在的差异由倍频程采样间隔与三分之一倍频程采样间隔的差异造成。可见,采用二进制小波变换可以有效实现轨道短波不平顺的数值模拟,模拟结果与实测结果在幅值和细部波形方面略有差别,建议对轨道短波不平顺进行大量的测量与统计分析。

英文摘要：

Aiming at the shortwave track irregularity problem,a numerical simulation method based on scattered binary wavelet was proposed.The relationship between ISO 3095 standard spectrum and wavelet coefficients was obtained with ISO 3095 standard spectrum as objective function.The algorithm flow and steps of numerical simulation were designed.Numerical simulation result and field measurement result for a subway section in Shanghai were compared.Analysis result shows that suitable wavelet decomposition level is eight and the lowest level covers the wavelength range of 512-1 024 mm.Time domain waveform of numerical simulation for shortwave track irregularity accords with the statistical characteristics of actual shortwave track irregularity and shows instability,its amplitude value distributes in the range of-0.15-0.15 mm.The difference between numerical simulation result and ISO 3095 standard spectrum results from the difference between octave sampling interval and 1/3octave sampling interval.Using the binary wavelet transform can effectively realize the numerical simulation for shortwave track irregularity.Simulation result and test result are slightly different in amplitude and detailed wavform.It is suggested to do a large number of measurements and statistical analysis forshortwave track irregularity.1tab,11 figs,21refs.