摘要
以傅里叶主频为研究对象,在总结主振频率预测研究现状的基础上,提出了傅里叶主频的基本公式预测模型,并给出了预测模型参数求解方法。指出了以回归系数(R 2)作为预测优劣判别标准的不足之处,提出应以残差平方和(residual square sum,RSS)作为预测相对优劣的判别标准。基于现场实测数据,比较了张立国公式、孟海利公式、卢文波等提出的基于球面波理论和柱面波理论的公式、叶红宇公式和作者推荐的基本公式6种预测模型的预测结果,结果表明:提出的基本公式预测的残差平方和(RSS)最小。考虑到爆破振动的随机性,以提出的基本公式预测模型为基础,引入正态分布理论对主振频率预测模型进行了修正。在定义主振频率相对误差(relative error of the main vibration frequency,REMVF)的基础上,得到了傅里叶主频关于爆心距R和单段最大装药量Q的分布模型,采用“3σ准则”验证了分布模型的正确性。根据“小概率事件”的基本思想,建议取双侧置信度为95%,进而可求得爆破参数确定下傅里叶主频可能的取值区间。
Taking the Fourier Principal Frequency as the research object,on the basis of summarizing the research status of the prediction of the principal frequency,a basic formula prediction model of the Fourier principal frequency was put forward,and the method of solving the parameters of the prediction model was given.This paper pointed out the deficiency of using the Regression Coefficient(R 2)as the criterion for predicting the relative merits and demerits,and put forward that residual square sum(RSS)should be used as the criterion for predicting the relative merits and demerits.Based on the field data,the prediction results of six prediction models,which are Zhang Liguo’s formula,Meng Haili’s formula,and the basic formula proposed by this paper,the formula based on the spherical wave theory and the cylindrical wave theory proposed by Lu Wenbo,and Ye Hongyu formula,were compared.the measured data show that the RSS predicted by the basic formula presented in this paper is the smallest.Considering the randomness of blasting vibration,based on the basic formula prediction model proposed in this paper,the normal distribution theory was introduced to modify the main vibration frequency prediction model.On the basis of defining the relative error of the main frequency(REMVF),the distribution model of Fourier Principal Frequency about the detonation center distance(R)and the single maximum charge quantity(Q)was obtained,and the accuracy of the distribution model was verified by using the“3σcriterion”.According to the basic idea of“small probability event”,the confidence of both sides should be 95%is suggested.Then the possible range of Fourier Principal Frequency can be determined by the blasting parameters.
作者
邓冰杰
王林峰
李振
李林刚
莫诎
DENG Bingjie;WANG Linfeng;LI Zhen;LI Lingang;MO Qu(River and sea College,Chongqing Jiaotong University,Chongqing 400074,China;CCCC SHEC Construction Technology Co.,Ltd.,Wuhan 430040,China;CCCC Second Harbor Engineering Company Ltd.,Wuhan 430040,China;Key Laboratory of Highway,Water Transportation and Geological Disaster Mitigation in Chongqing,Chongqing Jiaotong University,Chongqing 400074,China;School of Civil Engineering,Chongqing Jiaotong University,Chongqing 400074,China)
出处
《振动与冲击》
EI
CSCD
北大核心
2021年第12期46-54,共9页
Journal of Vibration and Shock
基金
国家自然科学基金(51678097,51478073)
国家重点研发计划重点专项子课题(2016YFC0802206-3)。
关键词
爆破振动
傅里叶主频
主频预测
正态分布
双侧置信度
blasting vibration
Fourier principal frequency
principal frequency prediction mode
normal distribution
bilateral confidence level
