低应变反射波法测桩的轴对称问题数值计算
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摘要
建立了更符合工程实际的桩土系统瞬态振动计算模型。利用有限差分法计算了完整桩在瞬态轴向激振力作用下的动力响应,比较分析了三维和一维桩顶轴向速度响应的差别。结果表明:相对激振半径、桩周土剪切波速也是影响三维效应的重要因素;传感器放在0.55R(R是桩的半径)处可以得到干扰较小的信号。绘制了不同时刻的波场图,直观地反映了波在桩中的传播规律。
A computing model for the transient vibration of soil-pile system was presented.The dynamic response of an intact pile impacted by transient axial impulse was computed by use of the finite difference method,and the difference between 3D(axisymmetric) and 1D axial velocity responses at the pile top was compared and analyzed.It was shown that the 3D effect was also related to the ratio of hammer radius to pile radius and shear velocity of the soil around the pile.The best position of receiver is 0.55R(R was pile radius) from the pile center.The wave snapshots at different time,which gave a visual interpretation of propagation of wave in the pile,were obtained.
A computing model for the transient vibration of soil-pile system was presented.The dynamic response of an intact pile impacted by transient axial impulse was computed by use of the finite difference method,and the difference between 3D(axisymmetric) and 1D axial velocity responses at the pile top was compared and analyzed.It was shown that the 3D effect was also related to the ratio of hammer radius to pile radius and shear velocity of the soil around the pile.The best position of receiver is 0.55R(R was pile radius) from the pile center.The wave snapshots at different time,which gave a visual interpretation of propagation of wave in the pile,were obtained.
引文
[1]陈凡,王仁军.尺寸效应对基桩低应变完整性检测的影响[J].岩土工程学报,1998,20(5):92–96.(CHEN Fan,WANG Ren-jun.Dimension effect on low strain integrity testing of piles[J].Chinese Journal of Geotechnical Engineering,1998,20(5):92–96.)
[2]赵振东,杉本三千雄,铃木善雄.桩基低应变完整性检测的分析研究[J].地震工程与工程振动,1995,15(4):104–111.(ZHAO Zhen-dong,SUGIMOTO Michio,SUZUKI Yoshio.Analytical study on low strain integrity testing for piles[J].Earthquake Engineering and Engineering Vibration,1995,15(4):104–111)
[3]WANG J T,DING M Y.Quantitative analysis for pile integrity[C]//Proc of the Fifth International Conference on Application of Stress Wave Theory to Piles,Orlando FL,1996:936–944.
[4]雷林源,杨长特.桩基瞬态动测响应的数学模型及基本特性[J].地球物理学报,1992,35(4):501–509.(LEI Lin-yuan,YANG Zhang-te.The mathematical models and basic characters of transient response for dynamic test of pile[J].Acta Geophysica Sinica,1992,35(4):501–509.)
[5]柴华友.土阻尼对应力波在一维变阻抗杆中传播的影响[J].土木工程学报,1994,27(3):41–49.(CHAI Hua-you.Effects of soil damping on propagation of stress-wave in 1-D bar with varying impedance[J].China Civil Engineering Journal,1994,27(3):41–49.)
[6]王奎华,谢康和,曾国熙.有限长桩受迫振动问题解析解及其应用[J].岩土工程学报,1997,19(6):27–35.(WANG Kui-hua,XIE Kang-he,ZENG Guo-xi.Analytical solution to vibration of finite length pile under exciting force and its application[J].Chinese Journal of Geotechnical Engineering,1997,19(6):27–35.)
[7]刘东甲.不均匀土中多缺陷桩的轴向动力响应[J].岩土工程学报,2000,22(4):391–395.(LIU Dong-jia.Dynamic axial response of multi-defective piles in nonhomogeneous soil[J].Chinese Journal of Geotechnical Engineering,2000,22(4):391–395)
[8]刘东甲.纵向振动桩侧壁切应力频率域解及其应用[J].岩土工程学报,2001,23(5):544–546.(LIU Dong-jia.Frequency-domain solution of shear stress along pile-soil interface for longitudinal vibration of piles and its application[J].Chinese Journal of Geotechnical Engineering,2001,23(5):544–546.)
[9]冯世进,陈云敏,刘明振.成层土中粘弹性桩轴向振动分析及工程应用[J].中国公路学报,2004,17(2):59–63.(FENG Shi-jin,CHEN Yun-min,LIU Ming-zhen.Analysis and application in engineering on vertical vibration of viscoelasticity piles in layered soil[J].China Journal of Highway and Transport,2004,17(2):59–63.)
[10]CHOW Y K,PHOON K K,CHOW W F,WONG K Y.Low strain integrity testing of piles:three-dimensional effects[J].Journal of Geotechnical and Geoenvironmental Engineering,2003,129(11):1057–1062.
[11]FRANK Schubert,ALEXANDER Peiffer,BERND Kchler.The elastodynamic finite integration technique for waves in cylindrical geometries[J].J Acoust Soc Am,1998,104(5):2604–2614.
[2]赵振东,杉本三千雄,铃木善雄.桩基低应变完整性检测的分析研究[J].地震工程与工程振动,1995,15(4):104–111.(ZHAO Zhen-dong,SUGIMOTO Michio,SUZUKI Yoshio.Analytical study on low strain integrity testing for piles[J].Earthquake Engineering and Engineering Vibration,1995,15(4):104–111)
[3]WANG J T,DING M Y.Quantitative analysis for pile integrity[C]//Proc of the Fifth International Conference on Application of Stress Wave Theory to Piles,Orlando FL,1996:936–944.
[4]雷林源,杨长特.桩基瞬态动测响应的数学模型及基本特性[J].地球物理学报,1992,35(4):501–509.(LEI Lin-yuan,YANG Zhang-te.The mathematical models and basic characters of transient response for dynamic test of pile[J].Acta Geophysica Sinica,1992,35(4):501–509.)
[5]柴华友.土阻尼对应力波在一维变阻抗杆中传播的影响[J].土木工程学报,1994,27(3):41–49.(CHAI Hua-you.Effects of soil damping on propagation of stress-wave in 1-D bar with varying impedance[J].China Civil Engineering Journal,1994,27(3):41–49.)
[6]王奎华,谢康和,曾国熙.有限长桩受迫振动问题解析解及其应用[J].岩土工程学报,1997,19(6):27–35.(WANG Kui-hua,XIE Kang-he,ZENG Guo-xi.Analytical solution to vibration of finite length pile under exciting force and its application[J].Chinese Journal of Geotechnical Engineering,1997,19(6):27–35.)
[7]刘东甲.不均匀土中多缺陷桩的轴向动力响应[J].岩土工程学报,2000,22(4):391–395.(LIU Dong-jia.Dynamic axial response of multi-defective piles in nonhomogeneous soil[J].Chinese Journal of Geotechnical Engineering,2000,22(4):391–395)
[8]刘东甲.纵向振动桩侧壁切应力频率域解及其应用[J].岩土工程学报,2001,23(5):544–546.(LIU Dong-jia.Frequency-domain solution of shear stress along pile-soil interface for longitudinal vibration of piles and its application[J].Chinese Journal of Geotechnical Engineering,2001,23(5):544–546.)
[9]冯世进,陈云敏,刘明振.成层土中粘弹性桩轴向振动分析及工程应用[J].中国公路学报,2004,17(2):59–63.(FENG Shi-jin,CHEN Yun-min,LIU Ming-zhen.Analysis and application in engineering on vertical vibration of viscoelasticity piles in layered soil[J].China Journal of Highway and Transport,2004,17(2):59–63.)
[10]CHOW Y K,PHOON K K,CHOW W F,WONG K Y.Low strain integrity testing of piles:three-dimensional effects[J].Journal of Geotechnical and Geoenvironmental Engineering,2003,129(11):1057–1062.
[11]FRANK Schubert,ALEXANDER Peiffer,BERND Kchler.The elastodynamic finite integration technique for waves in cylindrical geometries[J].J Acoust Soc Am,1998,104(5):2604–2614.
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