共查询到18条相似文献，搜索用时 171 毫秒
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考虑地基土层厚度的影响,对黏弹性地基上刚性条形基础承受竖向荷载下的动力响应问题进行了理论研究。通过Fourier积分变换求解了地基土的动力控制方程,并结合基底和地基的混合边界条件及土层刚性基岩边界条件,得到了刚性条形基础的对偶积分方程。通过Jacobi正交多项式将其转化为线性方程组并进行数值求解。将所得解退化至弹性半空间,并与已有文献进行了对比,验证了解析解的合理性。分析结果表明：地基土层厚度是影响地基振动产生的表面波衰减以及条形基础动力柔度系数变化的重要因素。通过数值算例发现,只有在土层厚度超过基底宽度大约50倍的情况下,现有的将地基土视为无限半空间的理论解才是合理的。 相似文献
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基于土体的三维波动模型研究了饱和土中单个管桩的竖向振动。将桩周土和桩芯土视为两相多孔介质,管桩视为等截面的圆管杆单元。在考虑桩周饱和土和桩芯饱和土径向位移和竖向位移的情况下,建立了基于土体三维波动模型的饱和土-管桩竖向耦合振动模型。借助势函数和分离变量法并考虑土体边界条件,求解了考虑土体三维波动的桩周饱和土和桩芯饱和土的竖向振动。在此基础上,考虑管桩桩端边界条件,利用三角函数正交性求解了饱和土中单个管桩的竖向振动,得到了管桩桩顶的竖向复刚度。通过数值算例,对比分析了土体三维波动模型解和不考虑土体径向位移的简化模型解的计算结果,分析了主要桩、土参数对饱和土中管桩竖向振动的影响。研究表明：当管桩壁较薄时且低频时不应忽略土体径向位移的影响,在动态刚度因子和等效阻尼随频率变化曲线峰值峰谷处不宜忽略土体液相的影响,管桩壁不宜过薄。管桩壁厚、长径比、桩芯饱和土与桩周饱和土密度比、剪切模量比以及桩-土模量比对饱和土中管桩竖向振动有较大影响,在进行管桩设计时需要综合考虑相关参数。 相似文献
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建立了三维黏性流体-桩-土体相互作用分析模型,对简谐激振水平动荷载作用下的液化土中桩基振动响应问题进行解析研究。将桩周液化土体视为黏性不可压缩流体,建立流体运动方程,利用亥姆霍兹分解和分离变量法并结合流体边界条件和桩-流体位移、速度连续条件及桩身边界条件,求得了黏性流体动压力及流体速度势解析表达式,从而得到桩身阻力表达式。用饱和多孔介质模型模拟饱和未液化土层,在已有饱和未液化土层振动响应解析解的基础上,推导得出上覆黏性液化流体,下层土体为饱和未液化土中水平振动桩基桩顶阻抗解析解。与已有的水中悬臂梁自由振动解析解对比,验证提出的模型解的正确性,最后分析了流体黏滞系数、桩长、桩土模量比对桩顶阻抗的影响。结果表明,忽略液化土体的黏性特征会高估桩基础桩顶的刚度阻抗,低估其阻尼阻抗。 相似文献
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基于理想流体波动理论和Biot饱和多孔介质波动理论,考虑工程实际中海底隧道与周围海底土体的滑移接触关系,建立了含滑移界面海底隧道模型,该模型还考虑了海水-海床土-海底隧道的动力相互作用。采用Hankel函数积分变换法和波函数展开法,推导了平面P1波入射下海底隧道与周围海底土体滑移接触界面效应的解析解。在解析解的基础上,通过数值计算分析了滑移接触条件对海底隧道地震动力响应的影响。计算结果表明：滑移接触条件对海底隧道的位移响应和应力响应影响明显;考虑隧道-海床土界面滑移接触条件下海底隧道的位移响应和应力响应显著高于界面无滑移条件时的位移响应和应力响应。 相似文献
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在考虑土体分层特性的基础上,分别建立了管桩桩周土体和桩芯土体的水平振动控制方程。通过引入势函数并考虑桩周土和桩芯土径向位移和环向位移的边界条件及其奇偶性,求得了管桩-土动力相互作用的刚度系数和阻尼系数。将土体模拟为连续分布的弹簧-阻尼器,并考虑桩芯土和桩周土的作用,建立了层状土中管桩的水平振动方程。借助初参数法和传递矩阵法求解了管桩的水平振动,得到了管桩桩顶的水平动力阻抗。通过数值分析,得到了土层剪切模量、管桩壁厚、桩周土和桩芯土剪切模量比、土层厚度等对管桩桩顶动力阻抗的影响规律。土层剪切模量、管桩壁厚、桩周土和桩芯土剪切模量比对层状土中管桩水平振动的影响主要在低频处,土层厚度在较宽的频率范围内对管桩水平振动有影响;管桩壁越厚,桩周土的剪切模量越大时,管桩水平动力阻抗的绝对值越大。 相似文献
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假定土骨架服从标准线性固体黏弹性本构关系,研究了深埋圆形隧洞的饱和黏弹性土-弹性衬砌耦合系统在轴对称爆炸作用下的瞬态动力响应。首先,基于饱和土的Biot模型和衬砌的弹性理论,通过引入势函数和Laplace变换,利用弹性衬砌和饱和黏弹性土界面处的连续性条件以及边界条件,得到饱和黏弹性土体和弹性衬砌位移、应力和孔隙水压力等在Laplace变换域中的解析解。其次,利用Laplace数值Crump逆变换得到耦合系统在时间域的动力响应,数值分析了不同土体模型下土体-衬砌耦合系统的径向位移和环向应力以及土体孔隙水压力等。结果表明：对不同土体模型的土体-衬砌耦合系统,其在爆炸载荷作用下的动力响应性态基本一致,但动力响应的振动周期和幅值等具有明显的差异。同时,对于饱和黏弹性土-弹性衬砌系统,土体黏性参数对土体径向位移和孔隙水压力有明显的影响,但对土体环向应力影响较小。 相似文献
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桩贯入土体产生的挤土效应问题较为复杂。利用ABAQUS软件建立了单桩贯入夹硬层土和均质土的二维轴对称有限元模型,经过分析比较,得出了单桩贯入夹硬层土体所特有的位移场及应力场的变化规律。分析表明：桩贯入夹硬层土过程中,软硬土层交界处土体水平位移变化剧烈;硬土层的存在,会使土体水平及竖向位移受到约束;夹硬层土的水平挤压应力要远大于均质土情况;与水平应力相比,竖向挤压应力在硬土层处明显偏小。 相似文献
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基于Biot固结理论,运用解析层元方法求解竖向简谐荷载作用下二维层状饱和地基的动力响应问题。从直角坐标平面应变问题控制方程出发,通过Fourier-Laplace变换将偏微分方程组转化为常微分方程组,求解得到单层饱和地基的解析层元。结合层间连续条件和边界条件,组装得到多层饱和地基的总刚度矩阵方程,进而求得变换域内的解。借助Fourier-Laplace逆变换的数值积分方法,获得平面应变动力问题在物理域内的解,编制了相应的计算程序,其计算结果与已有文献结果吻合较好。通过算例分析了荷载圆频率、荷载作用深度及地基成层性对地基竖向位移的影响。计算结果表明：随荷载圆频率的增大,地基竖向位移先增加后减小;地基竖向位移在荷载作用点处呈现波峰,且受表层土性的影响较大。 相似文献
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基于Biot提出的饱和土波动方程,研究了埋置于单层饱和地基中的有质量的刚性圆柱基础的竖向振动问题。运用Hankel积分变换求解饱和土基本动力方程,并考虑基础与地基接触面的混合边值条件,求得了基础底面和基础侧面的动反力,结合基础振动的动力平衡方程,得到了基础竖向振动振幅和地基等效动力刚度的表达式。数值分析结果表明：下卧基岩饱和地基的等效动力刚度和基础振动振幅都呈现出明显的波动现象,土层厚度、基础埋深比、基础质量比对埋置基础的竖向振动有很大影响。 相似文献
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The dynamic response of an end bearing pile embedded in a linear visco‐elastic soil layer with hysteretic type damping is theoretically investigated when the pile is subjected to a time‐harmonic vertical loading at the pile top. The soil is modeled as a three‐dimensional axisymmetric continuum in which both its radial and vertical displacements are taken into account. The pile is assumed to be vertical, elastic and of uniform circular cross section. By using two potential functions to decompose the displacements of the soil layer and utilizing the separation of variables technique, the dynamic equilibrium equation is uncoupled and solved. At the interface of soil‐pile system, the boundary conditions of displacement continuity and force equilibrium are invoked to derive a closed‐form solution of the vertical dynamic response of the pile in frequency domain. The corresponding inverted solutions in time domain for the velocity response of a pile subjected to a semi‐sine excitation force applied at the pile top are obtained by means of inverse Fourier transform and the convolution theorem. A comparison with two other simplified solutions has been performed to verify the more rigorous solutions presented in this paper. Using the developed solutions, a parametric study has also been conducted to investigate the influence of the major parameters of the soil‐pile system on the vertical vibration characteristics of the pile. Copyright © 2013 John Wiley & Sons, Ltd. 相似文献
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饱和黏弹性地基土中管桩纵向振动研究 总被引：1，自引：0，他引：1
用解析方法在频率域内研究考虑质量耦合效应的饱和黏弹性地基土中管桩的纵向振动特性。基于Biot理论,采用薄层法,推导得到饱和黏弹性地基土的位移、应力等的表达式。将管桩等效为一维弹性杆件处理。根据界面连续性条件,给出饱和黏弹性地基土中管桩的纵向振动一般分析方法和桩顶动力复刚度的表达式。在该基础上,对比分析饱和地基土中实心桩和管桩纵向振动特性。通过算例分析,考察桩周土和桩芯土的力学参数对桩顶刚度因子和等效阻尼的影响。研究表明,饱和黏弹性地基土中实心桩和管桩的纵向振动有明显的差异。 相似文献
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考虑到地基在竖直方向上的非均匀性,结合扭转振动的特点,建立了简谐扭转动荷载作用时剪切模量随深度增大的广义Gibson饱和地基的动力方程,通过积分变换求解了动力方程。考虑到半空间地基表面处应力自由、埋置圆板所在平面为混合边界和无穷深度处为波的辐射边界等条件,得到了广义Gibson饱和地基中刚性圆板扭转振动时的对偶积分方程,通过合适的变换转化成了一个第2类Fredholm积分方程,求解了相应的动力响应问题。对比静扭距作用时的荷载-位移关系,给出了动力柔度系数和扭转角位移幅值的表达式,并把所研究的问题进行退化且与前人成果进行了对比。数值研究表明：当基础的埋置深度小于5倍基础半径时,广义Gibson饱和地基中埋置基础的扭转振动存在明显的边界层现象,且埋置深度越小,边界层现象越明显。 相似文献
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This paper presents a new method to derive the analytical solution for the vertical impedance of an end‐bearing pile in viscoelastic soil. The soil is assumed as a homogeneous and isotropic layer, and the pile is considered as a one‐dimensional Euler rod. Considering both the vertical and radial displacements of soil and soil–pile coupled vibration, the governing equations of the soil and pile are established. The volumetric strain of soil is obtained by transformation on the equations of soil and variable separation method. Then the vertical and radial displacements of soil are obtained accordingly. The displacement response and impedance function of pile are derived based on the continuity assumption of the displacement and stress between the pile and soil. The solution is verified by being compared with an existing solution obtained by introducing potential functions. Furthermore, a comparison with two other simplified solutions is conducted. Numerical examples are presented to analyze the vibration characteristics of the pile. Copyright © 2014 John Wiley & Sons, Ltd. 相似文献
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Dynamic Response of Machine Foundation on Layered Soil: Cone Model Versus Experiments 总被引：1，自引：0，他引：1
P. K. Pradhan A. Mandal D. K. Baidya D. P. Ghosh 《Geotechnical and Geological Engineering》2008,26(4):453-468
This paper presents the experimental validation of analytical solution based on cone model for machine foundation vibration
analysis on layered soil. Impedance functions for a rigid massless circular foundation resting on a two layered soil system
subjected to vertical harmonic excitation are found using cone model. Linear hysteretic material damping is introduced using
correspondence principle. The frequency-amplitude response of a massive foundation is then computed using impedance functions.
To verify the solution field experiments are conducted in two different layered soil systems such as gravel layer over in situ
soil and gravel layer over concrete slab (rigid base). A total 72 numbers of vertical vibration tests on square model footing
were conducted using Lazan type mechanical oscillator, varying the influencing parameters such as depth of top layer, static
weight of foundation and dynamic force level. The frequency-amplitude response in general and in particular the resonant frequencies
and resonant amplitudes predicted by cone model is compared with the results of experimental investigation, which shows a
close agreement. Thus the cone model is reliable in its application to machine foundation vibration on layered soil. 相似文献
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A simplified analytical method is presented for the vertical dynamic analysis of a rigid, massive, cylindrical foundation embedded in a poroelastic soil layer. The foundation is subjected to a time‐harmonic vertical loading and is perfectly bonded to the surrounding soil in the vertical direction. The soil underlying the foundation base is represented by a single‐layered poroelastic soil based on rigid bedrock while the soil at the side of the foundation is modeled as an independent poroelastic layer composed of a series of infinitesimally thin layers. The behavior of the soil is governed by Biot's poroelastodynamic theory and its governing equations are solved by the use of Hankel integral transform. The contact surface between the foundation base and the soil is smooth and fully permeable. The dynamic interaction problem is solved following standard numerical procedures. The accuracy of the present solution is verified by comparisons with the well‐known solutions obtained from other approaches for both the elastodynamic interaction problem and poroelastodynamic interaction problem. Numerical results for the vertical dynamic impedance and response factor of the foundation are presented to demonstrate the influence of nondimensional frequency of excitation, soil layer thickness, poroelastic material parameters, depth ratio and mass ratio on the dynamic response of a rigid foundation embedded in a poroelastic soil layer. Copyright © 2008 John Wiley & Sons, Ltd. 相似文献