为了研究汽车与公路路面的相互作用机理,采用二自由度四分之一汽车悬架模型模拟汽车系统,用无限长Bernoulli-Euler梁模拟公路路面,用Kelvin黏弹性地基模拟公路路基,同时对汽车和路面建模,构成二维汽车-路面-路基系统.通过线性振动理论、积分变换和广义杜哈梅积分得到了汽车和路面的动力响应解析解及路面响应在时间域和空间域的分布规律.另外,分析了车速、地基反应模量、地基阻尼系数、悬架刚度、悬架阻尼、轮胎刚度和轮胎阻尼7个参数对路面动力响应的影响.结果表明,地基反应模型的影响最大,而车速的影响与地基阻尼系数密切相关.
A 1/4 two DOF vehicle suspension model is used in this work. Pavement is modeled as a Bernoulli-Euler beam and foundation is simplified by Kelvin viscoelastic model. Thus, a two-dimen- sional vehicle-pavement-foundation coupling system is modeled. Based on this coupling system, analytical solutions of vehicle body, wheel, and pavement's dynamical response are derived by integral transformation. By numerical method, pavement responses in space and time are analyzed in detail. In addition, seven system parameters' effects on pavement dynamical response are investigated, including vehicle velocity, foundation stiffness, foundation damping, suspension stiffness, suspension damping, tire stiffness, and tire damping. The conclusions obtained from this work may be beneficial to reasonable vehicle suspension design, which pays more attention to avoiding pavement premature failure and extending pavement life-span.