DYNAMIC CROSS-INTERACTION BETWEEN FLEXIBLE SURFACE FOOTINGS BY COMBINED BEM AND FEM

A combined boundary and finite element method is developed and applied to study the dynamic behaviour of a system of flexible surface footings of arbitrary shape bearing on an elastic half-space. The proposed method employs the frequency domain Green's function for the surface of the elastic half-space while a layered plate model is used for the flexible footing. Both the footing and the surface of the half-space are discretized by 8-noded quadratical isoparametric elements, and the meshes are identical. Thus, the compatibility of displacements and equilibrium of forces between the footing and the half-space are fully satisfied. This model provides a better approximation of the stress concentration at edges of relatively rigid footings. Numerical examples demonstrating the effects due to the excitation frequency, the relative rigidity and the distance between footings on the interaction between two square footings are presented. The external forces can be either harmonic or transient.     

ON THE CHARACTERISTICS OF NON-LINEAR SOIL RESPONSE AND DYNAMIC SOIL PROPERTIES USING VERTICAL ARRAY DATA IN JAPAN

Non-linear response of the soil is investigated by comparing the spectral ratios (uphole/downhole) using weak and strong motions. Data from seven vertical arrays in Japan are analysed in this study. The frequency-dependent transfer function of soil is calculated as a ratio of the spectrum at uphole to the spectrum at downhole, considering the horizontal component of shear wave. In spectral ratio analysis auto- and cross-spectra are employed. The reduction in the predominant frequency of the transfer function with increases in excitation level reflects the non-linear response of the soil. Results of analysis demonstrate a significant non-linear ground response at six sites with surface PGA exceeding 90 gal. However, the results of one site show the linear response up to 130 gal surface PGA. Furthermore, the in situ strain-dependent soil behaviour is examined through the shear modulus – shear strain relationship. When compared, the actual and laboratory results of the shear strain – shear modulus relationship are in agreement. Additionally, a good consistency between the tendency of reduction in shear modulus ratio with shear strain increases, and reduction of predominant frequency with ground motion increases, confirms the significance of non-linearity in site effects study.     

EFFECT OF SLAB FLEXIBILITY ON INTERACTION BETWEEN TWO CIRCULAR FOUNDATIONS

The paper is aimed at investigating the effect of foundation rigidity on dynamic stiffness for two circular foundations on a viscoelastic medium. To generate the dynamic stiffness, a substructure technique is employed. For the substructure of a viscoelastic medium, the solution for wave motion reported in Reference 11 is used. For the substructures of two flexible foundations, classical plate theory with the inertial force neglected is employed to find the displacement fields of the foundation plates subjected to the interaction stresses. Then, the continuity condition for all the substructures is imposed implicitly by using the variational principle; then with the help of the reciprocal theorem the dynamic stiffness for the two flexible foundations can be obtained. For the numerical study, the boundary condition at the rims of both foundation plates is assumed to be a hinge connection to superstructures. Some numerical investigations are performed and the effect of foundation rigidity on dynamic stiffness is examined. Some discussions and conclusions are also made.     

公路勘测中应注意的几个问题

结合营口滨海大道勘测设计工程实例,探讨了公路勘测时坐标系统选择、平面控制点点位选定、全站仪三角高程代替四等水准、RTK技术应用等一些问题,并提出了几点结论。     

颗粒离散单元法动力人工边界设置方法

采用颗粒离散单元法进行动力计算时,人工截断边界上需设置吸收边界条件,以防止波的反射。鉴于颗粒离散单元数值计算模型的人工边界上颗粒单元半径大小不一、边界面凸凹不平,在连续介质的黏性、黏弹性、自由场边界条件方程基础之上,推导出适用于离散介质的等效方程。在离散介质的黏性边界条件等效方程中引入微调系数,提出比值迭代法以快速确定其最优值,以实现对波的最佳吸收。采用二维颗粒离散单元计算软件PFC2D,分别建立黏性、黏弹性、自由场边界条件相关数值分析模型,探讨颗粒分布模式对黏性边界上颗粒单元半径、速度分布及比值迭代过程的影响;采用外源波动算例及经典Lamb问题算例验证黏弹性边界设置方法的正确性;通过隧洞算例检验提出的自由场边界条件设置方法的正确性。     

自适应锚索锚固岩质边坡地震动力响应分析

强震作用下常规锚索往往会因材料变形能力不足导致应力过载而被拉断,一旦锚索失效将直接危及整个锚固结构的安全。为研究自适应锚索的动力响应规律以及在自适应锚索支护下锚固边坡的动力特性,以新型抗震锚索为原型,设计自适应锚索锚固岩质边坡试验模型,并利用振动台试验系统对试验模型进行加载。试验中采用正弦波、天津波、EI波以及Taft波等4种地震波进行研究,监测锚索的应变和边坡动力响应。结果表明：锚索的轴力和地震波幅值、类型、地震激励频率等因素密切相关;锚固边坡坡面加速度及位移沿边坡高程均有不同程度的放大,相对于无锚索支护边坡,锚固边坡坡面加速度和位移峰值均有减小;自适应锚索随着预设滑移恒阻力的不同,锚索会产生不滑移、瞬间滑移、逐步滑移3种工况,对应的锚索应变时程曲线和锚固边坡动力安全系数时程具有显著不同的特征;自适应锚索滑移工况下,滑体的安全系数虽然有局部减小的阶段,但是锚固结构的安全储备较大,可适应边坡大变形和瞬态冲击荷载的作用。试验结果可为强震区路堑边坡的支护和自适应锚索抗震设计提供一定参考。     

基于黏度时变性的桩端压力浆液上返高度模型及工程应用

桩端后压浆浆液上返高度对后压浆桩承载力的计算影响较大。基于幂律型流体的黏度时变性特征,推导了考虑黏度时变性的桩端压力浆液上返的理论计算公式,并给出了参数的确定方法及成层土中浆液上返高度的迭代算法;结合台州湾大桥的接线工程,利用电磁波CT对桩基后压浆的加固效果进行了探测分析。结果表明,采用浆液沿压浆管道阻力损失的拟合值并考虑黏度时变性得到的浆液上返高度的计算结果与实测结果基本吻合且偏于安全,而忽略黏度时变性得到的计算结果偏大,会对后压浆桩的承载力设计造成不利影响。此外,电磁波CT能观测到桩体、水泥浆加固体及土体的分布情况,且能推测出水泥浆液在桩端的扩散范围和沿桩身的上返高度,可用于评价后压浆桩的压浆效果。研究成果可为后压浆桩的设计和效果检测提供参考和指导。     

定向剪切应力路径下冻结黏土变形特性试验

为研究复杂应力路径下冻土的强度与变形特征,采用冻土空心圆柱仪（FHCA-300）对不同负温状态下的饱和冻结黏土开展定向剪切试验,基于不同剪切方向下冻结黏土的轴向和扭剪分量的应力-应变关系,探讨土样的剪切变形特征、各向异性属性以及剪切带的演变规律,并考察温度、大主应力方向角、平均主应力以及中主应力系数等因素对冻结黏土强度的影响。结果表明：平均主应力p值对冻结黏土的应力-应变关系影响显著,尤其是p=4.5 MPa时具有较高的剪切强度,且该值可能为压融临界p值;大主应力方向变化会诱发冻结黏土的各向异性,随着大主应力方向角的增加,冻结黏土剪切强度逐渐降低,并有明显的剪切带产生;中主应力系数的增加使得轴向强度有逐渐降低的趋势,但对剪切强度影响不明显;随着温度的降低,冻结黏土强度逐渐增大,试样发生脆性破坏并出现剪切破裂面,其剪切强度主要取决于冰颗粒和土颗粒的胶结力。     

水平成层场地动剪应变与震动速度关系解析

以SHAKE2000为代表的频域等效线性化是目前主流的土层地震动计算方法。由于该方法在软土场地计算结果严重不合理,其改进方法成为目前研究热点,主要采用频率相关法,但一直没有取得实效。对频率相关法中土体动剪应变和震动速度成恒定比例关系的基本假定进行研究,从波动方程推导出了均匀全空间单向行波、单一均匀半无限场地、成层场地等3种典型场地中土体剪应变与震动速度关系的精确解答,通过数值试验研究了这一假定的合理性与偏差程度。结果表明：动剪应变和震动速度成恒定比例关系这一假定只有在无边界均匀介质单向行波情形下才成立,对于实际成层土场地,动剪应变与震动速度关系强烈依赖于波的频率和观察点的位置,如果在土层地震反应分析中忽略反射波而采用单向行波恒定比例假定将会使计算结果产生显著偏差;动剪应变与震动速度成恒定比例关系的假定导致的偏差达4个量级,即使对于单一均匀半无限空间模型偏差也十分显著;对实际土层地震动的求解,该假定在理论上定性错误,定量上偏差不可接受,必须放弃而另寻其他途径。     

土工格室补强路基整治路基病害的试验研究

土工格室广泛运用于道路或铁路路基的补强和病害整治,针对不同几何尺寸土工格室的整治效果不同,采用焊距为340、400、680 mm和高度为0.10、0.15、0.20 m组合的9种不同规格土工格室进行整治铁路基床下沉病害的现场试验,并与换砂法试验进行了对比,分析不同整治法的轨下动应力衰减规律。结果表明,格室每增高0.01 m,动应力衰减增加约0.6%～1%;焊距每增加100 mm,动应力衰减降低约5%;相比较于换砂法,土工格室法轨下动应力衰减快、分布均,路基强度高,表明换填厚度的大小与整治方法密切相关。在试验的基础上提出了换填厚度设计容许应力法,综合考虑了路基应力水平、格室与砂垫层动应力衰减性能以及路基基床土的容许承载力,为换填厚度设计提供了理论设计方法。