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交通荷载作用下Kelvin地基上不平整路面的动力响应分析 被引量:18

Dynamic response of rough pavement on Kelvin foundation subjected to traffic loads
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摘要 为了评价不平整路面在交通荷载作用下的动态响应,从路面几何不平整出发,假设路面不平整服从正弦函数曲线,并把1/4车身结构简化为2个自由度振动体系,得到了不平整路面上的动荷载表达式。又将此荷载模式看成是作用在Kelvin地基上无限大路面板表面的移动矩形荷载,采用双重Fourier变换方法得到了不平整无限大路面板竖向位移的积分形式解,此解析解可以退化为静荷载作用下的经典解答。并利用快速傅立叶变换(FFT)方法得到了数值计算结果。分析了荷载速度,路面不平整波长、不平整幅值以及地基阻尼和地基刚度对板的动力响应的影响。结果表明,板竖向位移的分布受荷载移动速度的影响;位移幅值随着路面不平整波长和荷载速度的变化出现2个峰值;路面不平整使得位移峰值出现滞后现象,且不平整波长越小或不平整幅值越大,滞后现象越明显。 To evaluate the dynamic responses of rough pavement subjected to traffic loads, research is focused on the geometric roughness of pavement, and by regarding the pavement roughness as sine function and simplifying the quarter vehicle to a two DOF vibration system, the dynamic loads expressions of the system are obtained and used to analyze the steady-state responses of infinite rough pavement on Kelvin foundation. The theoretical solutions of vertical displacement of the pavement are derived using the double Fourier transform, and the solutions can be degenerated to the corresponding classical solution of static problem. By employing fast Fourier transform (FFT), the numerical results are obtained and used to analyze the influence of moving load velocity, rough pavement parameters and foundation parameters on the dynamic displacement responses. Computed results show that the distribution and variation of pavement's vertical displacement are influenced by load moving velocity. Two peaks of the deflection can be observed with increase of the rough pavement wavelength and the load velocity because of resonance. The lag effect of maximum displacement caused by pavement roughness becomes strong with the decrease of rough pavement wavelength and the increase of rough pavement amplitude.
出处 《岩土力学》 EI CAS CSCD 北大核心 2009年第4期890-896,共7页 Rock and Soil Mechanics
基金 西部交通建设科技项目(No.200531849305) 湖北省自然科学基金(No.2007ABA033) 岩土力学与工程国家重点实验室项目(SKLQ016)。
关键词 交通荷载 不平整路面 双重Fourier变换 动力响应 traffic loads rough pavement double Fourier transform dynamic response
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