冻土三轴蠕变非线性数学模型研究

采用MTS-810液压伺服材料试验机, 对人工配制的冻黏土试件进行了三轴蠕变试验, 获得了冻黏土在复杂应力状态下的蠕变曲线. 结果表明: 冻土的蠕变变形具有较强的温度敏感性, 温度越高, 这种温度敏感性越强; 相同温度下, 荷载越大, 变形越大. 运用相关理论, 推导了冻黏土在复杂应力状态下的三轴蠕变非线性数学模型, 采用MATLAB软件的数据拟合功能得到了模型方程参数的数值, 模型参数与温度之间存在密切关系, 建立了二者之间的数学表达式. 冻土三轴蠕变非线性数学模型的曲线与试验曲线拟合精度较高, 建立的数学模型可以精确体现冻土的蠕变规律, 能够为实际冻土工程的变形发展预测提供有效的理论指导.     

Non-linear buffeting response analysis of long-span suspension bridges with central buckle

The rigid central buckle employed in the Runyang Suspension Bridge (RSB) was the first time it was used in a suspension bridge in China. By using a spectral representation method and FFT technique combined with measured data,a 3D fluctuating wind field considering the tower wind effect is simulated. A novel FE model for buffeting analysis is then presented,in which a specific user-defined Matrix27 element in ANSYS is employed to simulate the aeroelastic forces and its stiffness or damping matrices are parameterized by wind velocity and vibration frequency. A nonlinear time history analysis is carried out to study the influence of the rigid central buckle on the wind-induced buffeting response of a long-span suspension bridge. The results can be used as a reference for wind resistance design of long-span suspension bridges with a rigid central buckle in the future.     

完全非线性波浪与二维固定结构物作用的IGN-BEM耦合分析模型

为高效准确地对完全非线性波浪与二维固定结构物的相互作用进行模拟分析,建立了二维完全非线性时域耦合模型。耦合模型将计算域划分为靠近结构物的内域和远离结构物的外域,每个区域均采用满足完全非线性自由水面边界条件的波浪模型进行求解。在内域使用Laplace方程描述流体运动并采用高阶边界元法（BEM）对其进行求解;而在没有结构物的外域,波浪运动的控制方程为Irrotational Green-Naghdi（IGN）方程并采用有限元法（FEM）对其进行求解。内域和外域通过一段重叠区域进行耦合,从而实现模型间变量的传递。首先利用耦合模型分别对规则波的传播、直墙前立波的生成以及相关物理模型试验进行模拟,数值结果与精确解和试验结果的良好吻合验证了耦合模型耦合方式的合理性以及处理非线性问题的准确性;然后使用耦合模型模拟分析了波浪与固定结构物间的相互作用,并将结果与线性解析解以及完全非线性BEM模型的结果进行了对比分析,进一步证明了耦合模型的正确性与高效性。     

Wavelet analysis and nonparametric test for climate change in Tarim River Basin of Xinjiang during 1959–2006

Using wavelet analysis, regression analysis and the Mann-Kendall test, this paper analyzed time-series (1959–2006) weather data from 23 meteorological stations in an attempt to characterize the climate change in the Tarim River Basin of Xinjiang Uygur Autonomous Region, China. Major findings are as follows: 1) In the 48-year study period, average annual temperature, annual precipitation and average annual relative humidity all presented nonlinear trends. 2) At the 16-year time scale, all three climate indices unanimously showed a rather flat before 1964 and a detectable pickup thereafter. At the 8-year time scale, an S-shaped nonlinear and uprising trend was revealed with slight fluctuations in the entire process for all three indices. Incidentally, they all showed similar pattern of a slight increase before 1980 and a noticeable up-swing afterwards. The 4-year time scale provided a highly fluctuating pattern of periodical oscillations and spiral increases. 3) Average annual relative humidity presented a negative correlation with average annual temperature and a positive correlation with annual precipitation at each time scale, which revealed a close dynamic relationship among them at the confidence level of 0.001. 4) The Mann-Kendall test at the 0.05 confidence level demonstrated that the climate warming trend, as represented by the rising average annual temperature, was remarkable, but the climate wetting trend, as indicated by the rising annual precipitation and average annual relative humidity, was not obvious.     

SAR图像海岸线检测的区域距离正则化几何主动轮廓模型

合成孔径雷达(SAR)卫星遥感图像可以极大地提高全国海岸线覆盖频率,然而受到海洋波浪所引起的随机海水表面粗糙度的影响,海岸目标与海水背景边界易混淆不清,因此本文提出了基于区域距离正则化几何主动轮廓模型(RDRGAC),引入距离正则项,解决重复初始化水平集函数为符号距离函数的问题,提高了算法收敛速度。此外,将区域面积项系数与SAR图像等效视数(ENL)建立非线性拟合关系,实现RDRGAC模型根据不同SAR遥感图像的自适应调整,改善海岸线自动提取精度。通过河北省北戴河和大连市金州湾SAR数据海岸线提取对比试验,验证了所提方法的有效性。     

简化磁力计非线性误差模型的快速校正算法

针对传统的磁力计校正算法中存在的误差模型复杂、计算时间长、需要保持水平姿态和已知航向信息等弊端,该文从磁力计误差特性入手,推导并建立了简化的磁力计非线性等效误差模型。基于动态调整策略对传统的LM算法进行改进,并利用改进的LM算法求解误差模型,减少计算过程中的迭代次数,实现了磁力计误差的快速估计。实验表明,该方法在有效保证磁力计校正精度的前提下,迭代次数减少25%,计算速度提高了65.59%。     

含盐冻结粉质砂土的强度参数和强度准则试验研究

对含盐冻结粉质砂土进行温度-2 ℃、-4 ℃、-6 ℃和围压0.3~16 MPa的三轴强度试验. 结果表明: 含盐冻结粉质砂土应力-应变曲线在低围压和高围压表现为应变软化特征, 中围压为理想塑性变形特性; 随着围压的增大, 强度先增加后减小. 在围压小范围内得到广义黏聚力和广义内摩擦角, 并得到广义黏聚力和广义内摩擦角随围压和温度的变化规律; 同时, 针对强度随围压的变化, 提出非线性强度准则.     

Pile foundation analysis and design using experimental data and 3-D numerical analysis

Capacity based design of pile foundations limits the soil-structure interaction mechanism to group bearing capacity estimation, neglecting, in most cases, the contribution of the raft. On the other hand, a straightforward, nonlinear, 3-D analysis, accounting for soil and structural nonlinearities and the effects arising from pile–soil–pile interaction, would be extremely high CPU-time demanding and will necessitate the use of exceptionally powerful numerical tools. With the aim of investigating the most efficient, precise, and economical design for a bridge foundation, a hybrid method, compatible with the notion of sub-structuring is proposed. It is based on both experimental data and nonlinear 3-D analysis. The first step to achieve these targets is a back-analysis of a static pile load test, fitting values for soil shear strength, deformation modulus, and shear strength mobilization at the soil–pile interface. Subsequently, the response of 2 × 2 and 3 × 3 pile group configurations is numerically established and the distribution of the applied load to the raft and the characteristic piles is discussed. Finally, a design strategy for an optimized design of pile raft foundations subjected to non-uniform vertical loading is proposed.     

一维土层非线性地震反应分析的解析递推格式法

引入“结构动力学数值分析解析递推格式法”求解软土地基地震反应分析问题。就一维地基非线性地震反应分析问题,将解析递推格式方法与等效线性化方法在各种场地土的计算结果进行了比较,结果表明：(1) 对软土层地震反应分析时,两种方法计算结果差别较大; （2）入射波幅值较强时,两种方法计算结果差别较大;（3）对于中等硬度土层、入射波幅值较弱时,计算结果相似, 并验证了该方法的实用有效性。     

Non linear waves in two dimensional keplerian flows

Abstract

Accretion discs in astrophysics are fundamental for converting gravitational binding energy into observed electromagnetic radiation. We study the behavior of waves in a two dimensional supersonic Keplerian flow inside a given gravitational potential. We present the effects of shearing and rotation on short waves, and the numerical study of the dynamical stability of such flows with respect to various perturbations. We show that a large class of dynamical effects, due to pressure and associated to short time scales, may be excited.