In order to systematically study the rutting resistance performance of High-Modulus Asphalt Concrete (HMAC) pavements, a finite element method model of HMAC pavement was established using ABAQUS software. Based on the viscoelasticity theory of asphalt, the stress and deformation distribution characteristics of HMAC pavement were studied and compared to conventional asphalt pavement under moving loads. Then, the pavement temperature field model was established to study the temperature variation and the thermal stress in HMAC pavement. Finally, under the condition of continuous temperature variation, the creep behavior and permanent deformation of HMAC pavement were investigated. The results showed that under the action of moving loads, the strain and displacement generated in HMAC pavement were lower than those in conventional asphalt pavement. The upper surface layer was most obviously affected by outside air temperature, resulting in maximum thermal stress. Lastly, under the condition of continuous temperature change, HMAC pavement could greatly reduce the deformation of asphalt material in each surface layer compared to conventional asphalt pavement.

In this paper, the necessary condition for the chaotic motion of a Duffing oscillator with the fractional‐order derivative under harmonic excitation is investigated. The necessary condition for the chaos in the sense of Smale horseshoes is established based on the Melnikov method, and then the chaotic threshold curve is obtained. The largest Lyapunov exponents are provided, and some other typical numerical simulation results, including the time histories, frequency spectrograms, phase portraits, and Poincare maps, are presented and compared. From the analysis of the numerical simulation results, it could be found that, near the chaotic threshold curve, the system generates chaos via the period‐doubling bifurcation, from single periodic motion to period‐2 motion and period‐4 motion to chaotic motion. The effects of fractional‐order parameters, the stiffness coefficient, and the damping coefficient on the threshold value of the chaotic motion are analytically discussed. The results show that the coefficient of the fractional‐order derivative has great effect on the threshold value of the chaotic motion, while the order of the fractional‐order derivative has less. The analysis results reveal some new phenomena, and it could be useful for designing or controlling dynamic systems with the fractional‐order derivative.

The chaotic behavior of a nonlinear vehicle suspension system with a fractional-order derivative is considered. A hysteretic nonlinear model of vehicle suspension with a fractional-order derivative term is established and the analytically necessary condition for heterotopic chaos is derived based on the Melnikov method. The largest Lyapunov exponents are compared. Then, the necessary condition is numerically verified by various simulation factors. The possibility of chaotic motion in vehicles should be higher for larger amplitude of road excitation. It is found that the coefficient and order of the fractional differential term, the stiffness coefficient, and the damping coefficient of the system all affect the necessary condition, and analysis on the effects of these parameters is presented individually. It has been shown that the larger the coefficient of the fractional differential term, or the stiffness and damping coefficients of the system, the lower the possibility of chaos in the system. Meanwhile, without considering the fractional order, the integer order suspension model obviously reduces the actual area where chaos may occur, so designing suspensions according to the fractional order model can avoid chaos more accurately than the integer order model.

The objective of this study is to analyse the difference of dynamic response of the deck pavement between a box girder bridge with corrugated steel webs and a concrete web box girder bridge. In this study, a simply supported beam with a span of 34 m is taken as the research object. According to the principle of equal shear stress of the box girder section, the three‐dimensional finite element model of the superstructure of two kinds of box girder bridges is established by the finite element software ABAQUS. The DLOAD and UTRACLOAD subroutines are called to impose a movement load on the bridge deck. The dynamic response of the bridge deck pavement under different vehicle speeds (36 km/h, 72 km/h, and 108 km/h) and different load types (single wheel rectangular uniform load and double wheel rectangular uniform load) is calculated. The variation trends of vertical displacement, longitudinal shear stress, and transverse stress of two bridges are compared. The results show that, under the same conditions, the dynamic response of the box girder bridge with corrugated steel webs is greater than that of the equivalent concrete web box girder bridge. The box girder bridge with corrugated steel webs has lightweight, good seismic performance and bending resistance, and more obvious advantages in deflection control. The equivalent concrete web box girder bridge has good shear and torsional properties. The response of two kinds of deck pavement systems of the box girder bridge under dynamic loads is more obvious than that under static loads. This study would provide some theoretical reference for the dynamic response of the deck paving system of box girder bridges.

This paper proposes a scheme to study dynamic responses of viscoelastic asphalt pavement under vehicle–bridge interaction. It is of great importance to accurately describe tire–pavement contact for dynamic behavior and damage prediction of pavement. The tire model consists of hyperelastic rubber and linear-elastic hub, and the viscoelastic pavement is supported by a three-span continuous steel-concrete bridge. Then, the dynamic coupling axial force considering vehicle–bridge interaction is applied to the tire connecting shaft, and the tire–pavement interaction system is established. In addition, the tire–pavement finite-element (FE) model is validated by a field test in Qugang Expressway, China. Finally, through parametric analysis, the effects of tire loads, pavement constitutive models, vehicle speeds, weights, and road roughness on the dynamic behavior of flexible pavement are obtained. Also, stress distribution rules of the viscoelastic pavement are discussed.