Ensemble Mode and Singular Value Based Road Texture-Skid Study

• Main Authors: Tuo Fang, Runhua Guo, Youqiang Si
• Format: Article
• Language: English
• Published: MDPI AG 2021-08-01
• Series: Coatings
• Subjects: pavement texture; CEEMD singular value decomposition; skid-resistance performance
• Online Access: https://www.mdpi.com/2079-6412/11/8/947

Traffic accidents occur frequently every year. Skid-resistance performance is an important indicator in evaluating road safety. In this paper, the road surface texture information is obtained by a line laser scanner. The original two-dimensional (2D) signal is decomposed into eight intrinsic mode functions by complementary ensemble empirical mode decomposition (CEEMD). Eight intrinsic mode functions compose an 800 × 8 data matrix. The matrix is decomposed by singular value decomposition (SVD), and singular value vectors are obtained. The singular values are summed and linearly fitted to the friction value measured by the British pendulum friction meter. The study finds that the singular value sum of one to five has a good linear correlation with the friction value with the goodness of fit greater than 0.8. At the same time, contour arithmetic mean deviation <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi mathvariant="normal">R</mi><mi mathvariant="normal">a</mi></msub></mrow></semantics></math></inline-formula> is applied for verification. The results show that the singular value sum has a strong correlation with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi mathvariant="normal">R</mi><mi mathvariant="normal">a</mi></msub></mrow></semantics></math></inline-formula>. When the number of Intrinsic Mode Function (IMF) decomposition is greater than eight, there is a good correlation between the number of IMF and the friction value from IMF2 to IMF6. When the number of IMF decomposition is less than eight, the singular value sum numbers with R² more than 0.8 gradually decrease. It is suggested that the road surface friction performance can be estimated by solving the singular value of the 2D signal. It provides new technical support for the detection and evaluation of anti-skid performance.