粘弹模型的一种等价定义及相关问题     

朱国甫 《岩土力学》1994,15(2):20-26

文中给出了粘称模型的一种等价定义，阐明了特征根的性质，同时从本构关系基本原理出发给予了清楚的说明。此外，还根据特征根的性质，构造了易于数值积分的等价形式，并说明了确定参数的具体方法。  相似文献   

瑞利波特性刚度矩阵分析方法   总被引：3，自引：2，他引：1  

柴华友  白世伟  刘明贵  卢应发 《岩土力学》2006,27(2):209-213

沿水平方向从半无限体分层系统截取出有限厚度分层固体系统,截取边界设置为刚性边界。将固体系统分层细化,由刚度矩阵方法可得到表面波在该系统频散特性,利用瑞利波位移在底层衰减特性从表面振型波可筛选出瑞利振型波,这些瑞利振型波与某一频率范围半无限体分层系统瑞利振型波对应,其频率下限与截取厚度有关,截取厚度越大,频率下限越小。同时还分析了分层细化厚度、截取厚度与分析频率关系。  相似文献   

Plain strain problem of poroelasticity using eigenvalue approach     

Rajneesh Kumar  Aseem Miglani  N. R. Garg 《Journal of Earth System Science》2000,109(3):371-380

A plain strain problem of an isotropic elastic liquid-saturated porous medium in poroelasticity has been studied. The eigenvalue approach using the Laplace and Fourier transforms has been employed and these transforms have been inverted by using a numerical technique. An application of infinite space with concentrated force at the origin has been presented to illustrate the utility of the approach. The displacement and stress components in the physical domain are obtained numerically. The results are shown graphically and can be used for a broad class of problems related to liquid-saturated porous media.  相似文献   

2009年夏季九龙江口表层水主要化学要素的含量分布和来源分析     

黄海宁  林彩  孙秀武  陈宝红  暨卫东  林辉 《台湾海峡》2012,31(2):261-267

2009年夏季,九龙江口表层水COD、DO、PO4-P、DIN、TN、TP含量的变化范围分别为0.81～4.37、3.74～5.76、0.025～0.046、0.53～1.89、0.68～2.65、0.046～0.253 mg/dm3,平均值分别为2.38、5.09、0.04、1.30、1.70、0.10 mg/dm3;而Cu、Pb、Zn、Cd、Cr、Hg、As、Oil含量的变化范围分别为0.92～2.09、0.005～1.431、0.77～4.05、0.006 4～0.054 2、0.073～0.622、0.010～0.038、0.9～5.7、8.5～17.2μg/dm3,平均值分别为1.45、0.26、1.84、0.03、0.26、0.02、2.3、12.0μg/dm3.与1992年厦门海域水质调查结果比较分析表明:影响九龙江口海水质量的环境因子主要是DIN、PO4-P含量.应用主成分分析(PCA)方法对其污染来源进行分析表明:14个变量的全部信息可由4个主成分反映(特征值:7.24+2.06+1.63+1.25=12.18个变量),总贡献率达87.01%.第一主成分的贡献率为51.74%,主要体现了水体中营养要素氮、磷和COD的影响,其中COD、PO4-P、TN、DIN含量之间的相关系数介于0.778(COD～PO4-P)至0.971(TN～DIN)之间.第二主成分的贡献率是14.72%,在As、TP、Pb上的载荷分别为0.938、0.814、0.731,它主要反映表层水中重金属As的影响.第三主成分的主要特征是在Cr、Zn、Cu含量上有较高的载荷,分别为0.929、0.915、0.757.第四主成分的主要特征是在Hg、Cd含量上有较高载荷,且它们之间的相关系数为0.627.第三、四主成分分析结果表明九龙江口表层水受部分重金属元素的污染.通过PCA聚类分析调查站位间污染状况的相似性及远近关系,及对九龙江河口区主要化学要素污染来源的分析,结果表明其表层水污染来源可能是上游生活污水、生活垃圾未能很好处理就排入河流以及农业化肥污染和上游工业点源废水排放等.  相似文献   

用积分法求取岩石孔隙结构特征值     

李闽  陶正武  刘全稳  吴泽民  李涛  肖文联  亢鞠 《岩土力学》2015,36(5):1352-1356

针对图解法求取孔隙结构特征值使用条件严格,同时误差较大,而矩法饱和度范围又受限于试验。采用积分法求取特征值,即对孔隙半径进行积分求取特征值。积分法必须先获取孔隙半径数学表达式,即毛管压力数学模型。对毛管压力数学模型进行了探究,在双对数坐标系下推导并建立了毛管压力幂函数模型,采用最小二乘法求取模型参数,并通过对比Sami论文数据验证了推导的模型。深入分析矩法与积分法的联系可知,代入孔隙半径数学表达式即可用积分法求取岩石孔隙结构特征值。最后,对3种方法求取结果进行分析讨论,得出积分法算法严谨,更加接近真实值。这一研究加深了对岩石微观孔隙结构认识。  相似文献   

工业测量中一种二次曲面的拟合方法   总被引：4，自引：0，他引：4  

王解先 《武汉大学学报(信息科学版)》2007,32(1):47-50

针对工业测量中二次曲面的拟合问题，阐述了二次多项式的标准化、二次项系数矩阵的特征值和特征向量求取、测量坐标与标准坐标之间的转换关系、特征向量与旋转角的关系等问题，提出了按特征值、旋转角和平移量为参数拟合二次曲面的拟舍方法。算例表明了模型的准确性。  相似文献   

Soil‐structure system frequency and damping: Estimation from eigenvalues and results for a 2D model in layered half‐space          下载免费PDF全文

Jia Fu  Jianwen Liang  Maria I. Todorovska  Mihailo D. Trifunac 《地震工程与结构动力学》2018,47(10):2055-2075

This paper presents a formulation for estimation of the frequency and damping of a soil‐structure interaction system based on the classical modal analysis and solving the system eigenvalue problem. Without loss of generality, the structure is represented by a single degree of freedom oscillator, while the soil effects are included through impedance functions for in‐plane motion of a 2D rigid foundation. For the results presented in this paper, the impedance functions were computed by the indirect boundary element method for a rectangular foundation embedded in a soil layer over elastic bedrock. The study shows that the classical modal‐analysis approach works well, with the exception of squat, stiff structures, even though the impedance functions are frequency‐dependent and the soil‐structure interaction system does not possess normal modes. The study also shows that system frequency and damping are independent of the wave passage effects, contrary to findings of some previous studies, and that the site conditions, represented by the soil‐layer thickness and stiffness contrast between bedrock and soil layer, have significant influences on both system frequency and system damping. Finally, the paper examines the accuracy of some of the simple methods for estimation of these two system parameters and comments on some conflicting conclusions of previous studies about the effects of foundation embedment.  相似文献   

A naturally efficient numerical technique for porous convection stability with non‐trivial boundary conditions     

L. E. Payne  B. Straughan 《国际地质力学数值与分析法杂志》2000,24(10):815-836

A highly efficient numerical technique is presented for solving eigenvalue problems which arise in complicated convection — instability studies in porous media. The differential equations are written as a system of ‘natural’ variables which are suggested by the way the boundary conditions arise. The method easily gives high resolution in boundary layers, yields all the eigenvalues and eigenfunctions, deals with complex coefficients, and can handle spatially dependent coefficients in a very efficient manner. The numerical technique is motivated by the practical problem of salinization in porous sands in arid zones as is beautifully modelled by Gilman and Bear. Since the salinization study of Gilman and Bear is a prototype for the field of convective motion in unsaturated porous soils and this field is one which is increasingly occupying geotechnical attention, we believe the numerical method presented here has much potential. Copyright © 2000 John Wiley & Sons, Ltd.  相似文献