In this paper,under the highway engineering quality inspection evaluation standard to determine the indicators of evaluation of asphalt pavement roughness,and the sine function is constructed to represent the road surface wave,Lagrange interpolation method is used to obtain the evaluation parameters of mathematical expressions,a mathematic model of the asphalt pavement smoothness,and with the actual measurement data to optimize data processing.The results of the study are: according to the international roughness index IRI established a mathematical model of surface roughness and the relationship between the relevant parameters Via fiducial error criteria for pretreatment and error analysis of measurement data,and to the zoning of road surface wave,established relationship between the wavelength of surface wave and amplitude,get the function relation between the sine of the road,for the subsequent road lay the foundation of the analysis and calculation of the wave function.%本文在《公路工程质量检验评定标准》下确定评价沥青路面平整度的各项指标,并通过构建正弦函数来表征路面波,利用拉格朗日插值法获得相关评价参数的数学表达式,建立沥青路面平整度的数学模型,并以实际测量数据进行数据优化处理.研究结果主要有:根据国际平整度指数IRI建立起路面平整度数学模型中相关参数之间的相互关系;通过置信误差标准来对测量数据的预处理和误差分析,对路面波进行分区划分,确立路面波的波长值和幅值关系,得到该路段的正弦函数关系式,为后续路面波形函数的分析计算奠定基础.
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