地基梁动-静态响应的比较分析

采用分离变量法求得了冲击荷载作用下的开尔文地基上两端自由有限长梁动态挠曲线方程的级数解；分析了地基梁结构参数和冲击荷载作用时间对梁挠曲线特征值（最大挠度和挠曲线面积）的影响规律；比较地基梁动态挠曲线与静荷载引起的地基梁静态挠曲线之间差异，发现：(1)等效地基梁动态最大挠度或挠曲线面积的当量静荷载值与冲量之间不存在良好对应关系；(2)依据地基梁动态挠曲线用静态方法反演得到的地基梁结构参数有可能含有较大的偏差．

The Comparison between Dynamic and Static Responses of Foundation Beam

The series solution of deflection curve equation of kelvin foundation beam with two free ends and limited length under the impact load was obtained by the method of separation of variables; The effects of structural parameters of the foundation beam and the duration time of the impact loading on the characteristics of the deflection curve (maximum deflection and the enclosed area) were analyzed; It is found that (1) there is no evident correspondence between the impact momentum and the equivalent static load for generating the dynamic maximum deflection or the encosed area of dynamic deflection curve; (2) structure parameters obtained from the inverse derivation method based on the static relation but using the dynamic deflection curve are likely to deviate from the accurate values.