双参数地基板的精度分析

为了板与地基相互作用理论的严密性和计算的可靠性,该文先纠正了双参数地基自由矩形板研究中长期存在的板外地基沉降衰减指数取值不当的问题;然后基于弹性半空间地基上四边自由矩形板的弯曲解析解,数值计算验证了实际地基反力与挠度不具有Vlazov双参数地基模型所导出的关系式;最后,通过对算例的数值计算及结果的对比分析,从板的弯曲变形角度,说明该文给出的衰减指数值才是适当的;同时,也分析给出了Vlazov双参数地基自由矩形板各种近似边界条件的计算精度。

COMPUTATIONAL ACCURACY OF THE PLATE ON TWO-PARAMETER SUBGRADE

For computational reliability and strictness of the theory of the plate and the subgrade reaction,first, the attenuate factor of the displacement is corrected for the subgrade out the plate on two-parameter subgrade. Then,Based on the analytical solution of an elastic rectangle plate with four free edges rested on the semi-infinite elastic subgrade,it is proved that the reaction force of the subgrade and the deflection did not possess the relationship of Vlazov’s two-parameter subgrade model by numerical method.Finally,based on numerical computation for a sample problem and comparative analysis of its result,from the bent deformation of the plate,a conclusion is drawn that the attenuate factor given in this paper is suitable,and the computational accuracy is analyzed and given for all sorts of proximate boundary conditions of the plate on two-parameter subgrade.