双参数粘弹性地基矩形板的振动分析  

Dynamic Analysis of Plates on Two-Parameter Viscoelastic Foundation Under Impact Load

作　　者：刘艳[1] 刘洪兵[1] 刘红艳 陈向明[1] 

机构地区：[1]西北工业大学力学与土木建筑学院,陕西西安710072 [2]海宁市城市建设处,浙江海宁314400

出　　处：《公路工程》2008年第2期91-93,153,共4页Highway Engineering

摘　　要：建立了冲击荷载作用下双参数粘弹性地基上四边弹性嵌固矩形板的一种新型力学模型,利用Laplace变换,变分原理及互等功定理求解了该系统的位移解析解,并进一步讨论了地基参数和弹性支撑刚性系数对板的位移的影响。经过实例计算,表明结果正确,该研究结果可为路面结构的动力响应分析和质量评价提供一些理论依据。A new mechanical model is established, this modal shows that the four joints of the rectangular plates＇ edges are considered as elastic boundary embeddings. The dynamic displacement response of the plate resting on two-parameter foundation has been investigated when the system is subjected to an impact load. By using Laplace transformation and the reciprocal theorem of work, the analytical solution is achieved. Analyses were performed to investigate the effects of various parameters such as the horizontal resistance modulus and the rigid modulus of elastic boundary supports. Numerical example demonstrates that the results in this paper are correct and can provide the theoretical foundation for the pavement engineering design and roadway evaluation.

关 键 词：弹性地基 冲击荷载 弹性嵌固 互等功定理 LAPLACE变换 

分 类 号：U416.03[交通运输工程—道路与铁道工程]