###### Abstract
In the study of the tribology between rubber and glass, the change in the coefficient of dynamic friction under wet conditions is particularly critical. [PERSON] et al. [13] investigated the tribological behavior of the contact between the rubber blade and the windshield. On a wet windshield, the rubber blade has the same actual contact area as on a dry windshield under extremely slow velocity. However, as the sliding velocity increases, the dry area gradually decreases, and a thin film of water can be formed. The lubrication effect of the thin film of water in between the rubber blade and windshield leads to a reduction in the coefficient of dynamic friction. [PERSON] et al. [14] clarified that the film arises because the pressure of the fluid gradually increases as the sliding velocity increases. Due to the presence of the film, the friction is mainly controlled by the fluid film friction. Thus, the friction coefficient is significantly reduced. However, due to the low viscosity of water, the reduction of the friction coefficient at low sliding velocity cannot be explained by the hydrodynamic effect. Several studies have taken the attack angle into account. [PERSON] et al. [15] developed a finite element model considering the attack angle to analyze the dynamics of the wiper system. The stability of the system was analyzed for different values of the normal pressure and attack angle. The validity of this model was then verified through a series of experiments. [PERSON] et al. [16] built an experimental setup to simulate the waves on the windshield. The waves have the effect of changing the contact angle of the wiper blade, which corresponds to the so-called attack angle effect. As the liquid on the windshield is removed by the wipers, the coefficient of dynamic friction becomes greater than 1. The waviness changes the wiping velocity of the wiper blade and the coefficient of dynamic friction, leading to noise. In recent years, there have been many studies about wiper blades from different perspectives. [PERSON] et al. [17] considered many factors that influence the dynamic behavior and characteristics of rubber wiper blade performance. These factors include the different types of wipers, environment conditions such as humidity, temperature, and air friction, as well as the stiffness increases of the used wiper blades. This study experimentally illustrated how these factors affect the dynamic behavior and characteristics of rubber wiper blade performance in great detail. [PERSON] et al. [18] compared the wiper blade before use with the wiper blade after more than one year of use by structural analysis. The changes of the contact distribution and wiping angle were investigated to assess the mechanical properties and shape changes of the wiper blade due to prolonged use. Three main factors affecting the cross-section of the wiper blade were found. As a result, the design direction of the cross-sectional shape of a wiper blade was predicted. [PERSON] et al. [19] solved the theoretical problem of the vibration of rubber wiper blades on the convex windshield. The three-dimensional vibration problem from the elasticity perspective was considered. Two classes of vibration frequencies corresponding to two types of deformation were found by the theoretical analysis. Then, two mathematical formulas for the vibration problem of the rubber wiper blade on a convex windshield were obtained. The theoretical predictions were in good agreement with the experimental results. In the present study, all of the above-mentioned factors are considered in analyzing the dynamics of the wiper blade. These factors include the attack angle, independent dynamic and static friction models, the lubrication effect of the thin film of water, and the change in rotation stiffness brought about by the shoulder-head contact. We first introduce a two-degree-of-freedom analytical model for the wiper blade.