基于钢筋应力监测值的盾构隧道管片外部荷载正交数值反演分析方法

为研究盾构隧道管片外部荷载的分布特征,提出了一种基于钢筋应力监测值的管片外部荷载正交数值反演分析方法。以钢筋应力监测值为目标函数,该方法通过建立正交数值分析工况较好地反演了管片的外部荷载。研究表明:(1)该方法通过分析所提取的管片外部荷载试验因素,设置相应的试验因素水平,建立正交试验分析工况;基于三维有限元反演分析模型进行迭代计算,求解基于钢筋应力的监测值和计算值的目标函数,通过其均值和极差分析反演获得管片外部荷载最优解。(2)管片外部荷载影响因素包括竖向土压力修正系数、水压力修正系数、侧压力系数和地层抗力系数。(3)三维有限元反演分析模型建模要素包括三维实体管片和一维钢筋,管片接缝采用一维螺栓+二维界面进行模拟,地层采用仅受压曲面弹簧进行模拟。(4)算例最优解为竖向土压力修正系数为1.2、水压力修正系数为1.2、地层抗力系数为70 MPa/m、侧压力系数为0.35。

岩土流变数值计算中一些问题的探讨

针对黏弹性组合模型中的两类参数,即拉压模量和拉压黏性系数以及剪切模量和剪切黏性系数在数值反分析和正分析应用中存在的概念模糊,以及转换不合理等一些问题,首先分析了这两类参数概念上的差异,接着从理论上建立了拉压模量和拉压黏性系数(常体积模量假设下广义Kelvin模型)到剪切模量和剪切黏性系数之间的转换关系,并通过一个算例,从正分析和参数反演两个角度,对这些问题进行了探讨,给出了产生这些问题的内在原因。最后,提出了解决这些问题的可行性措施,并指出这一解决措施也同样适用于其它假设情况。

Characterizations of Orthogonal Vector-valued Multivariate Wavelet Packets

In this paper, the notion of orthogonal vector-valued wavelet packets of space L2 （R^s, C^n） is introduced. A procedure for constructing the orthogonal vector-valued wavelet packets is presented. Their properties are characterized by virtue of time-frequency analysis method, matrix theory and finite group theory, and three orthogonality formulas are obtained. Finally, new orthonormal bases of space L2（R^s,C^n） are extracted from these wavelet packets.

On Double Revised Nodes of S N Bernstein Interpolation Process of the Third Type

In this work, the well-known problem put forward by S N Bernstein in 1930 is studied in a deep step. An operator is constructed by revising double interpolation nodes. It is proved that the operator converges to arbitrary continuous functions uniformly and the convergence order is the best.

SPHERICAL MEANS, DISTRIBUTIONS AND CONVOLUTION OPERATORS IN CLIFFORD ANALYSIS

New higher dimensional distributions are introduced in the framework of Clifford analysis.They complete the picture already established in previous work, offering unity and structuralclarity. Amongst them are the building blocks of the principal value distribution, involvingspherical harmonics, considered by Horvath and Stein.