竖向简谐荷载下高承台单桩的动力压屈稳定性
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摘要
为探讨动力荷载作用下桩身的压屈稳定性,以m法考虑桩周土的横向抗力,利用能量法和Hamilton原理,基于桩顶自由、桩端嵌固边界条件下的高承台单桩基础动力稳定分析模型,建立了竖向简谐荷载下桩身动力稳定的Mathieu方程。采用三角级数求解,获得了基桩的动力不稳定区域。由此进行的参数对比分析表明,随桩土体系中桩身长径比的增加、埋置率的减小、自由长度的增加及桩周土质越趋软弱,桩身动力不稳定区域将增大,而固定荷载P0的影响则较小,这一影响规律与工程实际吻合较好。
To discuss the buckling stability of pile under dynamic loads,m method was used with consideration of the lateral resistance of subsoil,and energy method and Hamilton principle were adopted to establish the Mathieu equation of dynamic stability of pile under harmonic vertical loads based on the dynamic stability analysis model for foundation of single pile with high-rise cap under the boundary conditions of free pile top and fixed pile toe.The trigonometric series was introduced to solve the equation with the dynamic unstable regions of pile obtained.A comparative parameter analysis shows that with the increasing of slenderness ratio and free length,and the decreasing of embedded rate and subsoil strength in the pile-soil system,the dynamic unstable regions of the pile shaft will increase,while the influence of magnitude of fixed load P0 will be much smaller,which are in good agreement with the engineering practice.
To discuss the buckling stability of pile under dynamic loads,m method was used with consideration of the lateral resistance of subsoil,and energy method and Hamilton principle were adopted to establish the Mathieu equation of dynamic stability of pile under harmonic vertical loads based on the dynamic stability analysis model for foundation of single pile with high-rise cap under the boundary conditions of free pile top and fixed pile toe.The trigonometric series was introduced to solve the equation with the dynamic unstable regions of pile obtained.A comparative parameter analysis shows that with the increasing of slenderness ratio and free length,and the decreasing of embedded rate and subsoil strength in the pile-soil system,the dynamic unstable regions of the pile shaft will increase,while the influence of magnitude of fixed load P0 will be much smaller,which are in good agreement with the engineering practice.
引文
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[13]刘光栋,罗汉泉.杆系结构稳定[M].北京:人民交通出版社,1987:343.LIU Guangdong,LUO Hanquan.Stability of the RodsStructure[M].Beijing:China Communications Press,1987:343.
[2]KARKEE M B,KISHIDA H.Investigations on a NewBuilding with Pile Foundation Damaged by the Hyogoken-Nambu(Kobe)Earthquake[J].The Structural Design ofTall Buildings,1997,6:311-332.
[3]刘惠珊.桩基抗震设计探讨:日本阪神大地震的启示[J].工程抗震,2000,22(3):27-32.LIU Huishan.A Discussion on Seismic Design of PileFoundation[J].Earthquake Resistant Engineering,2000,22(3):27-32.
[4]魏新江.单桩动力特性影响因素分析[J].力学与实践,1998,20(3):50-52.WEI Xinjiang.Dynamic Property Analysis of PileFoundation[J].Mechanics and Engineering,1998,20(3):50-52.
[5]李耀庄,王贻荪,邹银生.粘弹性地基中桩动力反应分析[J].湖南大学学报:自然科学版,2000,27(1):92-96.LI Yaozhuang,WANG Yisun,ZOU Yinsheng.DynamicResponse Analysis of Pile in Viscoelastic Subgrade[J].Journal of Hunan University:Natural Science Edition,2000,27(1):92-96.
[6]沈锡英.锤击桩的定向稳定性问题[J].工程力学,1992,9(2):136-142.SHEN Xiying.Problems in the Directional Stability ofDriven Piles[J].Engineering Mechanics,1992,9(2):136-142.
[7]申世强,王建俊.桩-土参振质量对动力反应的影响[J].西安建筑科技大学学报:自然科学版,1996,28(4):419-422.SHEN Shiqiang,WANG Jianjun.Effect of Pile-soilVibrating Mass on Dynamic Responses[J].Journal ofXi'an University of Architecture&Technology:NaturalScience Edition,1996,28(4):419-422.
[8]孙强.竖向动荷载下桩土参数对基桩动力稳定性的影响[J].工程抗震,2004,26(3):33-37.SUN Qiang.Influence of Pile-soil Parameters underVertical Dynamic Loads on Dynamic Stability of FoundationPile[J].Earthquake Resistant Engineering,2004,26(3):33-37.
[9]孙强,袁勇.非均质土层下基桩动力稳定性分析[J].力学季刊,2002,23(2):427-430.SUN Qiang,YUAN Yong.Dynamic Stability Analysis ofFoundation Pile under Non-homogeneous Soil[J].ChineseQuarterly of Mechanics,2002,23(2):427-430.
[10]倪先光,扶名福,毛安雄.均质土层下不完整桩的动力稳定性分析[J].南昌大学学报:工科版,2008,30(4):410-404.NI Xianguang,FU Mingfu,MAO Anxiong.DynamicStability Analysis of Unwhole Pile under Homogeneous Soil[J].Journal of Nanchang University:Engineering&Technology Edition,2008,30(4):401-404.
[11]汪树成.竖向振动荷载作用下的单桩动力性能分析[J].合肥工业大学学报:自然科学版,1999,22(S1):155-158.WANG Shucheng.Dynamic Property Analysis of SinglePile under the Action of Vertical Vibrating Load[J].Journal of Hefei University of Technology:Natural ScienceEdition,1999,22(S1):155-158.
[12]赵明华,王季柏.基桩计入摩阻力的屈曲分析[J].岩土工程学报,1996,18(3):87-90.ZHAO Minghua,WANG Jibai.Buckling Analysis of thePile Included Friction[J].Chinese Jounal ofGeotechnical Engineering,1996,18(3):87-90.
[13]刘光栋,罗汉泉.杆系结构稳定[M].北京:人民交通出版社,1987:343.LIU Guangdong,LUO Hanquan.Stability of the RodsStructure[M].Beijing:China Communications Press,1987:343.
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