爆破震动中萨道夫斯基拓展式的回归分析
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摘要
在运用萨道夫斯基公式进行爆破震动速度的测控分析中,当爆破震动质点的高程差发生改变时,该公式的适用性将受到限制.结合萨道夫斯基公式,并利用MATLAB软件对该式及拓展式的各参量进行了线性、非线性、残差分析以及无偏估计.试验结果分析显示,考虑高程差后的回归模型能更准确的预测不平整场地中爆破震动质点的速度值,同时降低了爆破震动速度的相对误差以及达到回归预测的目的,进而提高对工程中质点震动速度的测量精度.
By using Sodev's empirical formula in analysizing blasting vibration speed,The formula's applicability was limited when altitude difference of theblasting particle.Combined Sa Road Minkowski formula and used MATLAB software to the parameters of Sa Road Minkowski formula and it's expansion type to linear,nonlinear,residual analysis and unbiased estimate.Test results show that the regression model which considering the elevation difference more accurately predict the speed value of blasting vibration particle velocity in the uneven,and reduce the relative error of blasting vibration velocity,consequently,we measure up to the regression forecast.It impove measurement accuracy of particle vibration velocity in the project.
By using Sodev's empirical formula in analysizing blasting vibration speed,The formula's applicability was limited when altitude difference of theblasting particle.Combined Sa Road Minkowski formula and used MATLAB software to the parameters of Sa Road Minkowski formula and it's expansion type to linear,nonlinear,residual analysis and unbiased estimate.Test results show that the regression model which considering the elevation difference more accurately predict the speed value of blasting vibration particle velocity in the uneven,and reduce the relative error of blasting vibration velocity,consequently,we measure up to the regression forecast.It impove measurement accuracy of particle vibration velocity in the project.
引文
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[2]吴斌,张义平.高差条件下爆破震动峰值速度的预测研究[J].矿业研究与开发,2010,30(5):88-90.Wu B,Zhang Y P.Study on prediction of peak velocity of blastingvibration under large altitude difference[J].Mining Research andDevelopment,2010,30(5):88-90.
[3]宫风强,李夕兵.岩爆发生和烈度分级预测的距离判别方法及应用[J].岩石力学和工程学报,2007,26(5):1012-1018.Gong F Q,Li X B.A distance discriminant analysis method forfrediction of possibility and classification of rockburst and itsapplication[J].Chinese Of Rock Mechanics And EngineeringJournal,2007,26(5):1012-1018.
[4]张立国,龚敏,于亚伦.爆破振动频率预测及其回归分析[J].辽宁工程技术大学学报,2005,24(2):187-189.Zhang L G,Gong M,Yu Y L.Forecast and regression analysis ofblasting vibration frequency[J].Liaoning Journal of LiaoningTechnic a University,2005,24(2):187-189.
[5]张利民,吕淑然,刘红岩.矿山爆破震动速度的测试与分析[[J].矿业研究与开发,2009,29(4):91-94.Zhang L M,Lu S R,Liu H Y.Test and analysis of velocity ofblasting vibration in mine[J].Mining Research and Development,2009,29(4):91-94.
[6]蔡德所,张继春,刘浩吾,等.三峡工程坝基岩体爆破地震效应的现场试验研究[J].人民长江,1996,27(5):6-9.Cai D S,Zhang J C,Liu H W,et al.In-situ seismic effect testingduring foundation rock blasting[J].Yangtze River,1996,27(5):6-9.
[7]王民寿,郭庆海.用双随机变量回归改进爆破振速回归分析[J].爆炸与冲击,1998,18(3):283-288.Wang M S,Guo Q H.Regression analysis of blasting vibrationalvelocity By the double random variable method[J].Explosion andShock Waves,1998,18(3):283-288.
[8]谢中华.MATLAB统计分析与应用:40个案例分析[M].北京:北京航空航天大学出版社,2010.Xie Z H.Statistical analysis and application of MATLAB:40 caseanalysis[M].Beijing:Beijing Aerospace University Press,2010.
[9]张德丰.MATLAB概率与数理统计分析[M].北京:机械工业出版社,2010.Zhang D F.Analysis of probability and mathematical statistics ofmatlab[M].Beijing:Machinery Industry Press,2010.
[10]张立国,龚敏,于亚伦.爆破振动频率预测及其回归分析[J].辽宁工程技术大学学报,2005,24(2):187-189.Zhang L G,Gong M,Yu Y L.Forecast and regression analysis ofblasting vibration frequency[J].Journal of Liaoning TechnicalUniversity,2005,24(2):187-189.
[11]唐海,李海波.反映高程放大效应的爆破振动公式研究[J].岩土力学,2011,32(3):820-824.Tang H,Li H B.Study of blasting vibration formula of reflectingamplification effect on elevation[J].Rock and Soil Mechanics,2011,32(3):820-824.
[12]吕涛,石永强,黄诚,等.非线性回归法求解爆破振动速度衰减公式参数[J].岩土力学,2007,28(9):1871-1878.Lu T,Shi Y Q,Huang Cheng,et al.Study on attenuationparameters of blasting vibration by nonlinear regression analysis[J].Rock and Soil Mechanics,2007,28(9):1871-1878.
[13]周同龄,李玉涛.反映高程的爆破震动公式及其应用[J].江苏煤炭,1997(4):21-22.Zhou T L,Li Y T.The equation of reflecting the elevation of theblasting vibration and its application[J].Jiangsu Coal,1997(4):21-22.
[14]姚尧.爆震的放大效应与二元回归分析[J].爆破,1992(4):5-7.Yao Y.The amplification reaction of knock and binary regressionanalysis[J].Blasting,1992(4):5-7.
[15]胡志强,李永强,张杰,等.爆破震动对露天边坡稳定的影响研究[J].矿业快报,2007(6):49-50.Hu Z Q,Li Y Q,Zhang J,et al.The research and effect of blastingon the open slope stability[J].Express Information of MiningIndustry,2007(6):49-50.
[16]杨伟林,杨柏坡.爆破地震动效应的数值模拟分析[J].地震工程与工程振动,2005,25(1):8-13.Yang W L,Yang B P.Numerical analysis of explosion seismic effec[J].The Earthquake Engineering and Engineering Vibration,2005,25(1):8-13.
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