摘要
The mixed model of improved exponential and power function and unequal interval gray GM(1,1)model have poor accuracy in predicting the maximum pull-out load of anchor bolts.An optimal combination model was derived using the optimally weighted combination theory and the minimum sum of logarithmic squared errors as the objective function.Two typical anchor bolt pull-out engineering cases were selected to compare the performance of the proposed model with those of existing ones.Results showed that the optimal combination model was suitable not only for the slow P-s curve but also for the steep P-s curve.Its accuracy and stable reliability,as well as its prediction capability classification,were better than those of the other prediction models.Therefore,the optimal combination model is an effective processing method for predicting the maximum pull-out load of anchor bolts according to measured data.
针对改进指-幂混合模型和不等间距灰色GM(1,1)模型对锚杆极限抗拔承载力预测精度较差的问题,基于最优加权组合建模理论,以组合模型的最小对数误差平方和为目标函数求解最优加权系数,推导出最优加权几何平均组合预测模型,以提高锚杆极限抗拔承载力预测精度的置信度.选取2个典型锚杆拉拔工程实例(锚杆P-s曲线分别为缓变型和陡变型)用以验证各预测模型的精度和可靠度.计算结果表明:该组合预测模型不仅适合缓变型曲线,而且也适合陡变型曲线,其精度和可靠性均优于其他预测模型,预测精度等级划分为优秀,可作为锚杆抗拔承载力实测资料的一种有效分析模型.
基金
The National Natural Science Foundation of China(No.51778485).
