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针对不能准确地区分弹性与弹塑性阶段数据,以及难以测量较多破坏阶段数据的实际情况,一个受破坏阶段和弹性阶段数据影响较小、模拟锚杆荷载P–位移S曲线效果较好、预测锚杆极限承载力破坏值准确度较高的模型是非常重要的。分析双曲线、指数和幂函数3种模型,对3种模型的结构共性进行总结,提出一种可以用来模拟锚杆P-S曲线的通用函数模型框架,并从实际的锚杆P-S曲线的特点出发,构建基于通用函数模型框架的锚杆P-S曲线的数学函数模型。针对指数函数模型精度差的缺点,使用函数模型框架对指数函数模型进行改进,改进后的模型精度得到很大提高;分析调整双曲线和修正双曲线模型,使用通用函数模型框架构建一种由改进指数和幂函数组和而成的混合函数模型。通过实际的工程案例验证,改进指–幂混合函数模型不仅是模拟锚杆P-S曲线精度较高的模型,而且是预测锚杆极限承载力破坏值误差较小的模型,受弹性阶段和破坏阶段数据影响较小。
Aiming at the fact that the data of elastic and elasto-plastic phases can not be distinguished accurately and the data of more destructive phases is difficult to measure, the data of a destroyed phase and elastic phase have less influence on the S-curve, It is very important that the ultimate bearing capacity of anchor be destroyed with high accuracy model. Analyze the hyperbolic, exponential and power functions of the three models, summarize the structural commonality of the three models, and propose a universal function model framework that can be used to simulate the PS curve of the anchor rod. Based on the actual PS curve of the anchor rod , A mathematical function model of PS curve of anchor rod based on general function model framework was constructed. In view of the shortcomings of the poor accuracy of the exponential function model, the function model framework is used to improve the exponential function model, and the accuracy of the improved model is greatly improved. The hyperbola and modified hyperbola model are analyzed and adjusted, Exponential and power function group and the resulting mixed function model. Through actual engineering case verification, the improved finger-power mixing function model is not only a model that simulates the PS curve of the anchor, but also a model that predicts the smaller the damage value of the ultimate bearing capacity of the anchor. According to the data of the elastic phase and the failure phase Less affected.