基于平面应变简化假定的桩扭转振动理论精度研究
|
摘要
利用拉普拉斯变换对考虑桩土耦合扭转振动条件下,桩顶受到任意激振扭矩作用的端承桩桩顶频域及时域响应进行解析求解,推导求得了桩顶位移、速度频域响应,桩顶复阻抗的解析表达式和半正弦脉冲激励作用下的桩顶时域响应半解析解;将本文所得理论解与基于平面应变假定的桩基扭转耦合振动的频域解和时域解进行了全面对比研究,具体比较范围涉及土层对桩的局部复阻抗、桩顶复频响应、速度导纳、桩顶复刚度和桩顶时域响应等方面,并得到若干重要结论。研究成果校核了平面应变假定在桩基扭转振动理论研究中的合理运用,为进一步了解桩土耦合振动的内在机理提供理论支持。
By Laplace transform,the interaction between a dynamically loaded fix pile-tip and a soil layer is theoretically investigated first.The displacement and velocity response at pile head in frequency domain and the dynamic stiffness of a pile are obtained in a closed form.A semi-analytical solution for the velocity response of a pile subjected to a semi-sine wave exciting torque is also achieved.The comparison between theories based on plane strain assumption and solutions developed in this paper is made,and some important conclusions are drawn.
By Laplace transform,the interaction between a dynamically loaded fix pile-tip and a soil layer is theoretically investigated first.The displacement and velocity response at pile head in frequency domain and the dynamic stiffness of a pile are obtained in a closed form.A semi-analytical solution for the velocity response of a pile subjected to a semi-sine wave exciting torque is also achieved.The comparison between theories based on plane strain assumption and solutions developed in this paper is made,and some important conclusions are drawn.
引文
[1]Militano G,Rajapakse R K N D.Dynamic response of a pile in a multi-layered soil to transient torsional and axial loading[J].Geotechnique,1999,49(1):91-109.
[2]Novak M,Nogami T,Aboul-Ella F.Dynamic soil reactions for plane strain case[J].Journal of the Engineering Mechanics Division,ASCE,1978,104(4):953-959.
[3]Novak M,Howell J.Ftorsional vibrations of plie foundation[J].Journal of Geotechnical Engineering,ASCE,1977,103:271-285.
[4]张德文,李咸亨,欧阳金福.时域垂直载重桩反应与土模式应用[J].岩土工程学报,2000,22(2):162-169.
[5]刘东甲.扭转波应用于低应变动力测桩的理论研究[J].岩土工程学报,2003,25(3):283-287.
[6]胡昌斌,黄晓明.成层黏弹性土中桩土耦合纵向振动时域响应研究[J].地震工程与工程振动,2006,26(4):205-211.
[7]Randolph MF,Worth C P.Analysis of deformation of vertically loaded piles[J].J.Geotech.Eng.Div.,ASCE,1981,104:1465-1487.
[8]Liu WM,Novak M.Dynamic response of single piles embedded in transversely isotropic layered media[J].Earthquake Engineering and Structur-al Dynamics,1994,23(3):1239-1257.
[9]刘立平,李英民,韩军,等.桩-土动力相互作用对桩基变形特性和受力性能的影响[J].地震工程与工程振动,2006,26(3):235-237.
[10]胡昌斌,王奎华,谢康和.基于平面应变假定基桩振动理论适用性研究[J].岩土工程学报,2003,25(5):595-601.
[2]Novak M,Nogami T,Aboul-Ella F.Dynamic soil reactions for plane strain case[J].Journal of the Engineering Mechanics Division,ASCE,1978,104(4):953-959.
[3]Novak M,Howell J.Ftorsional vibrations of plie foundation[J].Journal of Geotechnical Engineering,ASCE,1977,103:271-285.
[4]张德文,李咸亨,欧阳金福.时域垂直载重桩反应与土模式应用[J].岩土工程学报,2000,22(2):162-169.
[5]刘东甲.扭转波应用于低应变动力测桩的理论研究[J].岩土工程学报,2003,25(3):283-287.
[6]胡昌斌,黄晓明.成层黏弹性土中桩土耦合纵向振动时域响应研究[J].地震工程与工程振动,2006,26(4):205-211.
[7]Randolph MF,Worth C P.Analysis of deformation of vertically loaded piles[J].J.Geotech.Eng.Div.,ASCE,1981,104:1465-1487.
[8]Liu WM,Novak M.Dynamic response of single piles embedded in transversely isotropic layered media[J].Earthquake Engineering and Structur-al Dynamics,1994,23(3):1239-1257.
[9]刘立平,李英民,韩军,等.桩-土动力相互作用对桩基变形特性和受力性能的影响[J].地震工程与工程振动,2006,26(3):235-237.
[10]胡昌斌,王奎华,谢康和.基于平面应变假定基桩振动理论适用性研究[J].岩土工程学报,2003,25(5):595-601.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心