变截面桩扭转振动与纵向振动桩顶响应对比研究
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摘要
利用拉普拉斯变换,对严格考虑桩土扭转耦合振动条件下,桩顶受到任意激振扭矩作用的弹性支承桩桩顶频域及时域响应进行解析求解,推导求得了桩顶速度频域响应的解析表达式和半正弦脉冲激励作用下的桩顶速度时域响应半解析解;将本文所得严格解与纵向振动严格解的桩顶速度频域和时域理论解进行对比研究,得到若干重要结论.研究成果为桩基检测中纵向振动测桩的不足给以补充.
Considering the interaction between visco-elastic layered soils and a variable section pile or a multi-defective pile with arbitrary bottom boundaries and the dynamic response at the pile head to an arbitrary dynamic torsque is theoretically investigated.And by Laplace transforms and the transmit property of impedance function,the analytical expression of the solutions of velocity response function in frequency domain and in time domain at the pile head are derived.The characteristic of interaction between soil layers is also theoretically investigated here.The comparison between theories solutions developed in this paper and vertical vibration are investigated,and some important conclusions are obtained.Research results can be providing a theoretical foundation to improve detection support.
Considering the interaction between visco-elastic layered soils and a variable section pile or a multi-defective pile with arbitrary bottom boundaries and the dynamic response at the pile head to an arbitrary dynamic torsque is theoretically investigated.And by Laplace transforms and the transmit property of impedance function,the analytical expression of the solutions of velocity response function in frequency domain and in time domain at the pile head are derived.The characteristic of interaction between soil layers is also theoretically investigated here.The comparison between theories solutions developed in this paper and vertical vibration are investigated,and some important conclusions are obtained.Research results can be providing a theoretical foundation to improve detection support.
引文
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[2]胡昌斌,王奎华,谢康和.桩与粘性阻尼土耦合纵向振动时桩顶时域响应研究[J].振动工程学报,2004,17(1):72-77.
[3]Mammoon S M,Banerjee P K.Time-domain analysis of dynamically loaded single piles[J].Journal of the Engineering Me-chanics Division,ASCE,1992,118(1):140-160.
[4]Liu W M,Novak M.Dynamic response of single piles embedded in transversely isotropic layered media[J].Earthquake Engi-neering and Structural Dynamics,1994,23(3):1 239-1 257.
[5]王奎华.变截面阻抗桩纵向振动问题积分变换解[J].力学学报,2001,33(4):479-491.
[6]Rajapakse R K MD,Shah A H.On the longitudinal harmonic motion of an elastic bar embedded in an elastic half-space[J].Int J Solids and Struct,1987,23(2):267-285.
[7]Milos Novak,Toyoaki Nogami,Fakhry Aboul-Ella.Dynamic soil reactions for plane strain case[J].Journal of the Enginee-ring Mechanics Division,ASCE,1978,104(4):953-959.
[8]Militano G,Rajapakse R KND.Dynamic response of a pile in a multi-layered soil to transient torsional and axial loading[J].Geotechnique,1999,49(1):91-109.
[9]Novak M,Howell J.Torsional vibrations of plie foundation[J].Journal of Geotechnical Engineering,ASCE,1977,103:271-285.
[10]刘东甲,周安,刘煜洲.有限长完整桩中的扭转波[J].应用力学学报,2005,22(5):258-262.
[11]王雪峰,吴世明.基桩动测技术[M].北京:科学出版社,2001.
[12]Veletsos A S,Damodaran N V V.Torsional vibration of viscoelastic foundations[J].Journal of Geotechnical Engineering,1974,100(3):225-246.
[13]胡昌斌,张涛.桩与粘性土耦合扭转振动时桩顶时域响应研究[J].振动工程学报,2006,19(3):404-410.
[14]胡昌斌,黄晓明.成层粘弹性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.
[2]胡昌斌,王奎华,谢康和.桩与粘性阻尼土耦合纵向振动时桩顶时域响应研究[J].振动工程学报,2004,17(1):72-77.
[3]Mammoon S M,Banerjee P K.Time-domain analysis of dynamically loaded single piles[J].Journal of the Engineering Me-chanics Division,ASCE,1992,118(1):140-160.
[4]Liu W M,Novak M.Dynamic response of single piles embedded in transversely isotropic layered media[J].Earthquake Engi-neering and Structural Dynamics,1994,23(3):1 239-1 257.
[5]王奎华.变截面阻抗桩纵向振动问题积分变换解[J].力学学报,2001,33(4):479-491.
[6]Rajapakse R K MD,Shah A H.On the longitudinal harmonic motion of an elastic bar embedded in an elastic half-space[J].Int J Solids and Struct,1987,23(2):267-285.
[7]Milos Novak,Toyoaki Nogami,Fakhry Aboul-Ella.Dynamic soil reactions for plane strain case[J].Journal of the Enginee-ring Mechanics Division,ASCE,1978,104(4):953-959.
[8]Militano G,Rajapakse R KND.Dynamic response of a pile in a multi-layered soil to transient torsional and axial loading[J].Geotechnique,1999,49(1):91-109.
[9]Novak M,Howell J.Torsional vibrations of plie foundation[J].Journal of Geotechnical Engineering,ASCE,1977,103:271-285.
[10]刘东甲,周安,刘煜洲.有限长完整桩中的扭转波[J].应用力学学报,2005,22(5):258-262.
[11]王雪峰,吴世明.基桩动测技术[M].北京:科学出版社,2001.
[12]Veletsos A S,Damodaran N V V.Torsional vibration of viscoelastic foundations[J].Journal of Geotechnical Engineering,1974,100(3):225-246.
[13]胡昌斌,张涛.桩与粘性土耦合扭转振动时桩顶时域响应研究[J].振动工程学报,2006,19(3):404-410.
[14]胡昌斌,黄晓明.成层粘弹性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.
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