基于Novak薄层法的部分埋入式单桩的扭转振动
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摘要
在Novak平面假定的基础上将土体视为由无穷多带一圆孔的薄的土层组成,求得等效Winkler扭转弹簧-阻尼器的刚度系数和阻尼系数,在此基础上建立了部分埋入式单桩埋入部分和外露部分桩基的扭转振动微分方程,利用部分埋入式单桩的连续条件和边界条件求解了部分埋入式单桩的扭转振动。部分埋入式单桩的扭转振动与完全埋入式单桩一样都存在有共振现象,当外露部分桩长减小时部分埋入式单桩的扭转振动可以退化到完全埋入式单桩的情况,土体剪切模量越大,土体对桩基的扭转作用越大。
The soil is treated by composing of infinite thin soil layer with a round hole on the based of Novak plane assumptions,and the stiffness and damping coefficient of equivalent Winkler torsion spring-damper is got,and then,the torsional dynamic diffident equations of embedded pile and exposed pile are established,by considering the continuity conditions and boundary conditions of embedded pile and exposed pile,the torsional vibration of partially embedded single pile is solved.The research indicates that the torsional vibration partially embedded pile has resonance phenomenon like fully embedded pile,and the trosional vibration of partially embedded pile can be reduced to the case of fully embedded pile when the length of exposed pile reduced,and the torsional effect of soil to pile will be larger when the modulus of soil increases.
The soil is treated by composing of infinite thin soil layer with a round hole on the based of Novak plane assumptions,and the stiffness and damping coefficient of equivalent Winkler torsion spring-damper is got,and then,the torsional dynamic diffident equations of embedded pile and exposed pile are established,by considering the continuity conditions and boundary conditions of embedded pile and exposed pile,the torsional vibration of partially embedded single pile is solved.The research indicates that the torsional vibration partially embedded pile has resonance phenomenon like fully embedded pile,and the trosional vibration of partially embedded pile can be reduced to the case of fully embedded pile when the length of exposed pile reduced,and the torsional effect of soil to pile will be larger when the modulus of soil increases.
引文
[1]Novak M,Nogami T.Soil-pile interaction in horizontal vibration[J].Earthquake Engineering and Structural Dynamics,1977,5(3):263-281.
[2]Gazetas G,Makris N.Dynamic pile-soil-pile interaction:analysis ofaxial vibration[J].Earthquake Engrg Struc Dyn,1991,20(3):115-132.
[3]Dobry R,Gazetas G.Simple method for dynamic stiffness anddamping of floating pile groups[J].Geotechnique,1988,38(4):557-574.
[4]李强,王奎华,谢康和.饱和土中端承桩纵向振动特性研究[J].力学学报,2004,36(4):435-442.
[5]胡昌斌,王奎华,谢康和.考虑桩土耦合作用时弹性支承桩纵向振动特性分析及应用[J],工程力学,2003,20(2):146-154.
[6]任青,黄茂松.柔性承台下完全和部分埋入群桩的竖向振动及内力分析[J].工业建筑,2011,41(6):102-107.
[7]任青,黄茂松,钟锐,等.部分埋入群桩的竖向振动特性[J].岩土工程学报,2009,31(9):1384-1390.
[8]Makris N,Gazetas G.Dynamic pile-soil-pile interaction:later aland seismic response[J].Earthquake Engineering and StructuralDynamics,1992,21(2):145.
[9]尚守平,余俊,王海东,等.饱和土中桩水平振动分析[J].岩土工程学报,2007,29(11):1696-1702.
[10]Timoshenko S P.Theory of elasticity[M].McGraw-Hill Book,NewYork,1934.
[11]胡昌斌,张涛.基于平面应变简化假定的桩扭转振动理论精度研究[J].地震工程与工程振动,2008,28(3):122-130.
[2]Gazetas G,Makris N.Dynamic pile-soil-pile interaction:analysis ofaxial vibration[J].Earthquake Engrg Struc Dyn,1991,20(3):115-132.
[3]Dobry R,Gazetas G.Simple method for dynamic stiffness anddamping of floating pile groups[J].Geotechnique,1988,38(4):557-574.
[4]李强,王奎华,谢康和.饱和土中端承桩纵向振动特性研究[J].力学学报,2004,36(4):435-442.
[5]胡昌斌,王奎华,谢康和.考虑桩土耦合作用时弹性支承桩纵向振动特性分析及应用[J],工程力学,2003,20(2):146-154.
[6]任青,黄茂松.柔性承台下完全和部分埋入群桩的竖向振动及内力分析[J].工业建筑,2011,41(6):102-107.
[7]任青,黄茂松,钟锐,等.部分埋入群桩的竖向振动特性[J].岩土工程学报,2009,31(9):1384-1390.
[8]Makris N,Gazetas G.Dynamic pile-soil-pile interaction:later aland seismic response[J].Earthquake Engineering and StructuralDynamics,1992,21(2):145.
[9]尚守平,余俊,王海东,等.饱和土中桩水平振动分析[J].岩土工程学报,2007,29(11):1696-1702.
[10]Timoshenko S P.Theory of elasticity[M].McGraw-Hill Book,NewYork,1934.
[11]胡昌斌,张涛.基于平面应变简化假定的桩扭转振动理论精度研究[J].地震工程与工程振动,2008,28(3):122-130.
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