西北地区泥石流沟形态因素的非线性分析——以兰州市为例

以兰州市区96条主要的泥石流沟为例,利用分形理论的统计自相似性对泥石流沟数的累计分布随沟谷形态要素沟道比降、汇水面积和沟道长度的变化进行了分析;并与不同流域形态要素的分维进行了比较,探讨了分维不同的原因。兰州市区泥石流沟三个形态要素均具有统计意义上的自相似性,其中以汇水面积显示出分维最小(0.46),沟道长度次之(0.71),沟道比降最大(1.09)。分维的大小描述了作为系统的沟谷及其泥石流的形成的空间结构,即分形结构,同时也反映了不同形态要素对系统所起作用的差异,分维越小,所起作用越显著。其结果对西北干旱半干旱地区石流灾害的进一步研究与防治提供了新的思路。     

绿片岩三轴流变力学特性的研究(II):模型分析

首先,基于在岩石全自动流变伺服仪上得到的绿片岩三轴流变试验曲线,采用五元件线性粘弹性模型对表现为粘弹性流变特性的曲线进行了辨识,获得了绿片岩的粘弹性流变参数;然后,提出了一个新的非线性粘性元件,并将其与塑性体并联起来,得到一个新的非线性粘塑性体(NVPB),该体能充分反映岩石的加速流变特性:同时,将NVPB模型与五元件粘弹性模型串联起来,建立了一个新的岩石七元件非线性粘弹塑性流变模型。采用绿片岩加速流变全过程曲线,对提出的岩石七元件非线性粘弹塑性流变模型进行了辨识,得到了岩石七元件非线性粘弹塑性流变模型的材料参数。流变模型与试验结果的比较,显示了所建模型的正确性与合理性。     

Phillips模式的斜压不稳定的非线性饱和问题:能量情形

A conservation law for the Phillips model is derived. Using this law, the nonlinear saturation of purely baroclinic instability caused by the vertical velocity shear of the basic flow in the Phillips model-the case of energy-is studied within the context of Arnold's second stability theorem. Analytic upper bounds on the energy of wavy disturbances are obtained. For one unstable region in the parameter plane, the result here is a second-order correction in ε to Shepherd's; For another unstable region, the analytic upper bound on the energy of wavy disturbances offers an effective constraint on wavy (nonzonal) disturbances φ'i at any time.     

有限弹性变形地壳中的地震波

地壳由半无限大的基岩上一层厚度为H^-的表土层组成，入射地震波为垂直的SH波，产生水平地面运动。当浅源大地震发生时，在极震区以外行波传播产生地面运动将使地壳介质有非线性的有限弹性变形。用小参数摄动法使非线性控制方程为线性化的小参数各阶控制方程，得出头两阶线性控制方程的解析解。     

Development of site-specific design ground motions in Western and Eastern North America

This paper presents results recently obtained for generating site-specific ground motions needed for design of critical facilities. The general approach followed in developing these ground motions using either deterministic or probabilistic criteria is specification of motions for rock outcrop or very firm soil conditions followed by adjustments for site-specific conditions. Central issues in this process include development of appropriate attenuation relations and their uncertainties, differences in expected motions between Western and Eastern North America, and incorporation of site-specific adjustments that maintain the same hazard level as the control motions, while incorporating uncertainties in local dynamic material properties. For tectonically active regions, such as the Western United States (WUS), sufficient strong motion data exist to constrain empirical attenuation relations for M up to about 7 and for distances greater than about 10–15 km. Motions for larger magnitudes and closer distances are largely driven by extrapolations of empirical relations and uncertainties need to be substantially increased for these cases.

For the Eastern United States (CEUS), due to the paucity of strong motion data for cratonic regions worldwide, estimation of strong ground motions for engineering design is based entirely on calibrated models. The models are usually calibrated and validated in the WUS where sufficient strong motion data are available and then recalibrated for applications to the CEUS. Recalibration generally entails revising parameters based on available CEUS ground motion data as well as indirect inferences through intensity observations. Known differences in model parameters such as crustal structure between WUS and CEUS are generally accommodated as well. These procedures are examined and discussed.     

拱坝非线性地震反应分析

本文根据一致粘弹性模型的概念，引入应变率的影响，将混凝土静态William-Warnke三参数模型改造成一致粘塑性William-Warnke三参数本构模型，并用这个模型对某高拱坝进行了非线性地震响应分析，与线弹性模型和应变率无关的William-Warnke三参数模型的结果进行了比较，初步探讨了应变率对拱坝地震反应的影响。     

挡块对斜拉桥抗震性能的影响

本文基于现有永和斜拉桥挡块设施的严重破损，引入非线性挡块元，采用有限元计算分析挡块对斜拉桥抗震性能的影响。结果表明，斜拉桥塔根挡块的调协对减震效果影响不大，但挡块具有减小塔顶残余变形的有利作用。鉴于此，对永和斜拉桥挡块进行修复是必要的。     

求解变分不等式的Newton迭代的半局部收敛性分析

分析了求解变分不等式Newton方法的半局部收敛性，建立了类似于Kantorovich定理的收敛性结果。该结果不仅为判断Newton方法的收敛性提供了可计算的充分条件，也给出了Newton方法的收敛域以及问题解的存在区域。同时，文章也得到了Newton方法的若干收敛性质，包含收敛阶以及可计算的误差估计式等。     

考虑几何非线性的强夯流固动力耦合分析

针对强夯法加固地基机理的流固动力耦合分析问题,本文考虑土体的几何非线性,建立土体非线性动力平衡方程和整体流固动力耦合方程,给出土体非线性动力平衡方程的迭代计算格式和流固动力耦合方程的解耦计算方法,并对一具体算例进行了数值分析,得到了地基位移、应力等在强夯作用下的变化规律和在空间上的分布特征,为精确模拟分析强夯加固机理提供了有效途径。     

河南及邻区地震前中小地震活跃-平静的定量指标研究

以累计频度定量计算方法，分区讨论了河南及邻区1970年以来地震活动非线性度ZL值的时间进程曲线，系统计算了M≥5．0级地震前的ZL值，结果表明：开始出现活跃(平静)异常的时间集中在地震前1—2年，结束异常的时间在地震前一年内，集中于0—4个月。同时提出了异常的定量指标以及发震类型。