基于严格平面应变模型的土中群桩水平振动研究
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摘要
假设桩周土符合Novak严格平面应变模型,在波的传播理论的基础上,通过引入势函数的方法,对土层水平振动问题进行了求解,得到了土层波动水平位移的衰减函数以及土层水平动刚度和动阻尼。在此基础上,利用初始参数法研究了桩-土-桩水平动力相互作用和群桩水平振动,并与Gazetas和Dobry近似平面应变模型进行了对比。研究表明:桩距和荷载作用角对两种模型得到的水平动力相互作用因子影响较大,桩间距对水平动力相互作用因子和群桩水平动力阻抗有较大影响。
The horizontal vibration of the soil is solved by potential functions based on the theory of wave propagation by supposing the soil around the pile satisfy the Novak plane strain model, and the rigorous expression of the attenuation function of the horizontal displacement of the soil caused by the vibration of the pile is obtained. The lateral dynamic stiffness and damping of the soil are also attained. The pile-to-pile dynamic interaction and the horizontal dynamic impedance of pile groups in soil were investigated by initial-parameter method, and were compared with those of the approximate plane strain model proposed by Gazetas and Dobry. The result indicated that the difference between the result of a rigorous plain-strain model and an approximate model is related to the pile space and the angle between the lines of two piles as well as the direction of the horizontal applied force, and that the pile space has great influence on the pile-to-pile dynamic interaction and the horizontal dynamic impedance of pile groups in soil.
The horizontal vibration of the soil is solved by potential functions based on the theory of wave propagation by supposing the soil around the pile satisfy the Novak plane strain model, and the rigorous expression of the attenuation function of the horizontal displacement of the soil caused by the vibration of the pile is obtained. The lateral dynamic stiffness and damping of the soil are also attained. The pile-to-pile dynamic interaction and the horizontal dynamic impedance of pile groups in soil were investigated by initial-parameter method, and were compared with those of the approximate plane strain model proposed by Gazetas and Dobry. The result indicated that the difference between the result of a rigorous plain-strain model and an approximate model is related to the pile space and the angle between the lines of two piles as well as the direction of the horizontal applied force, and that the pile space has great influence on the pile-to-pile dynamic interaction and the horizontal dynamic impedance of pile groups in soil.
引文
[1]黄茂松,吴志明,任青.层状地基中群桩的水平振动特性[J].岩土工程学报,2007,29(1):32―38.Huang Maosong,Wu Zhiming,Ren Qing.Lateral vibration of pile groups in layered soil[J].Chinese Journal of Geotechnical Engineering,2007,29(1):32―38.(in Chinese)
[2]Poulos H G.Analysis of the settlement of pile groups[J].Geotechnique,1968,18(4):449―471.
[3]Kaynia A M,Kausel E.Dynamic stiffness and seismic response of pile groups[R].Cambridge:Research Report R82-03,Massachusetts Institute of technology,1982.
[4]Gazetas G,Dobry R.Horizontal response of piles in layered soils[J].Journal of Geotechnical Engineering,ASCE,1984,110:20―40.
[5]Gazetas G,Fan K,Kaynai A.Dynamic response of pile groups with different configuration[J].Soi1Dynamics and Earthquake Engrg,1993,12:239―257.
[6]Mylonakis G,Gazetas G.Lateral vibration and internal forces of pile groups in layered soil[J].Journal of Geotechnical and Geoenvironmental Engineering,1999,125(1):16―25.
[7]蒯行成,沈蒲生.层状介质中群桩水平动力阻抗的简化计算方法[J].振动工程学报,1998,11(3):258―264.Kuai Xingcheng,Shen Pusheng.Simplified method for calculating horizontal dynamic impedances of pile groups in layered media[J].Journal of Vibration Engineering,1998,11(3):258―264.(in Chinese)
[8]Novak M,Nogami T,Aboul-Ella F.Dynamic soil reaction for plane strain case[J].Journal of the Engineering Mechanics Division ASCE,1978,104:953―959.
[9]Koo K K,Chau K T,Yang X,Lam S S,Wong Y L.Soil-pile-structure interactions under SH waves[J].Earthquake Engineering and Structural Dynamics,2003,32(3):395―415.
[10]李耀庄,李博.单桩水平及水平-摇摆耦合振动分析[J].世界地震工程,2006,22(4):160―165.Li Yaozhuang,Li Bo.Analysis on horizontal vibrations and horizontal-rocking vibrations of pile[J].World Earthquake Engineering,2006,22(4):160―165.(in Chinese)
[2]Poulos H G.Analysis of the settlement of pile groups[J].Geotechnique,1968,18(4):449―471.
[3]Kaynia A M,Kausel E.Dynamic stiffness and seismic response of pile groups[R].Cambridge:Research Report R82-03,Massachusetts Institute of technology,1982.
[4]Gazetas G,Dobry R.Horizontal response of piles in layered soils[J].Journal of Geotechnical Engineering,ASCE,1984,110:20―40.
[5]Gazetas G,Fan K,Kaynai A.Dynamic response of pile groups with different configuration[J].Soi1Dynamics and Earthquake Engrg,1993,12:239―257.
[6]Mylonakis G,Gazetas G.Lateral vibration and internal forces of pile groups in layered soil[J].Journal of Geotechnical and Geoenvironmental Engineering,1999,125(1):16―25.
[7]蒯行成,沈蒲生.层状介质中群桩水平动力阻抗的简化计算方法[J].振动工程学报,1998,11(3):258―264.Kuai Xingcheng,Shen Pusheng.Simplified method for calculating horizontal dynamic impedances of pile groups in layered media[J].Journal of Vibration Engineering,1998,11(3):258―264.(in Chinese)
[8]Novak M,Nogami T,Aboul-Ella F.Dynamic soil reaction for plane strain case[J].Journal of the Engineering Mechanics Division ASCE,1978,104:953―959.
[9]Koo K K,Chau K T,Yang X,Lam S S,Wong Y L.Soil-pile-structure interactions under SH waves[J].Earthquake Engineering and Structural Dynamics,2003,32(3):395―415.
[10]李耀庄,李博.单桩水平及水平-摇摆耦合振动分析[J].世界地震工程,2006,22(4):160―165.Li Yaozhuang,Li Bo.Analysis on horizontal vibrations and horizontal-rocking vibrations of pile[J].World Earthquake Engineering,2006,22(4):160―165.(in Chinese)
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