# Dynamic Response Analysis of Asphalt Pavement under Pavement-Unevenness Excitation
## 5 Conclusions  
In this paper, the DVP method is used to solve the mechanical response of a multi-layer elastic system under the action of vehicle loads. Firstly, starting from the pavement unevenness of the vehicle excitation source, the filtering white-noise method is used to establish the pavement-unevenness excitation, and the random load of different vehicle models is obtained by simulation. Then, based on the basic governing equation of the road-surface problem under the random load, the analytical solution of the road-surface mechanical response is obtained by using the orthogonal vector function system and the DVP method. Based on the analytical results, the influences of pavement-unevenness grade, vehicle speed, vehicle load, interlayer contact condition, and transverse isotropy on-road mechanical response were analyzed. This method has strong applicability and high efficiency and can effectively deal with the mechanical response of road-surface structure with discontinuous interface and transverse isotropy under vehicle maneuvering load, and the main conclusions are drawn as follows:  
(1) Pavement unevenness does not affect the mean values of stress and strain, but it has a significant effect on the peak values and the degree of dispersion. When the pavement-unevenness level is low, it increases the peak values and coefficients of variation of stress and strain, resulting in a higher probability of high stress and strain within the pavement.  
(2) The increase in vehicle speed causes the peak values and coefficients of variation of the strains to become larger, leading to frequent high strains in the pavement; in addition, the increase in vehicle loads increases the mean and peak values of the stress strains.  
(3) The poor bonding between interfaces will lead to the increase of stress and strain at the bottom of the surface layer, and the increase of stress and strain in the horizontal direction is much larger than that in the vertical direction. When the base material is transverse-isotropic, the high modulus ratio will slightly increase the vertical stress and greatly reduce the horizontal stress and horizontal strain.  
Conceptualization: [PERSON] and [PERSON] proposed an orthogonal vector function system and an efficient DVP method to analyze the dynamic response of asphalt pavement under pavement-unevenness excitation. Methodology: [PERSON] presented detailed methods and experimental procedures using numerical simulation; Software: [PERSON] contributed to the article by conducting numerical simulations of the experiments using relevant software; Validation: [PERSON] and [PERSON] conducted experimental verification of the method according to the design steps; Writing--review and editing: [PERSON] organized and edited the initial draft of the article. All authors have read and agreed to the published version of the manuscript.  
The financial support provided by the National Natural Science Foundation (Grant No. 52108424) and the Science and Technology Tackling Project of Henan Province, China (Grant No. 232102240025).  
Not applicable.  
Data Availability Statement: The raw data supporting the conclusions of this article will be made available by the authors upon request.  
The authors are all from the School of Water Conservancy and Transportation, Zhengzhou University. The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflicts of interest. The authors declare no conflicts of interest.