一个Bernstein型插值算子的逼近阶

本文给出了一个以第一类Chebyshev多项式的零点为插值结点组Bernsten型插值算子的逼近阶,并给出了这个算子的饱和阶和饱和类。     

饱和土层中桩的扭转振动响应分析

基于饱和多孔介质理论研究了在三维轴对称条件下端承桩在饱和土中的扭转耦合振动问题,提出了桩与土在谐和振动情况下的定解问题，先对土层动力平衡方程进行求解并得到土体扭转振动位移形式解，依据平衡条件将该形式解耦合进桩身动力平衡方程，并通过对桩动力平衡方程的求解，得到桩顶转角和切向速度频域响应解析解和半正弦脉冲激励作用下桩顶时域响应的半解析解.数值分析结果表明，桩的长径比和波速比对桩顶动力响应有较大的影响，孔隙率和渗透力影响较小.将扭转振动结果与纵向振动分析结果进行了对比，二者在图形形状上有很多相似之处.     

表面弹性能K13项对弱锚定液晶盒指向矢分布的影响

在向列相液晶的Fréedericksz转变(沿面校列状态到垂直排列)过程中,液晶体系的自由能中含有表面弹性能K13项.用数值计算的方法研究了表面弹性能K13项对弱锚定向列液晶盒指向矢分布的影响,且指出饱和点处K13项的存在会影响到外磁场作用下液晶盒的饱和场强值和转变的性质.此外给出了转变类型的判断条件.     

The 3-D non-axisymmetrical Lamb''''s problem in transversely isotropic saturated poroelastic media

The dynamic analysis of saturated poroelastic media is significant in many areas such as seismology, earthquake engineering, soil mechanics and geophysics. In 1956, Biot[1—3] first developed the dynamic equations for saturated poroelastic media. He also discussed systematically the propagation of waves in such two-phase media and further predicted the existence of the slow longitudinal wave. Biots work is consummate while the two formal parameters he introduced are difficult to measure. In t…     

Saturated Heat Capacities of Some Linear and Branched Alkyl-Benzenes Between 288 and 348 K

The saturated heat capacities of benzene and of some linear (toluene, ethylbenzene, propylbenzene, butylbenzene, hexylbenzene, 1-phenylheptane, and 1-phenylhexadecane) and branched (m-xylene, cumene, sec-butylbenzene, tert-butylbenzene, and isobutylbenzene) alkyl-benzenes have been measured. A Micro DSC II from Setaram (France) with batch cells designed in our laboratory, and the scanning or continuous method, have been used to perform the measurements. The estimated uncertainty of the saturated heat capacities was better than 0.3%. In the literature there exists c _sat(T) data for some of the liquids studied. Agreement with our measurements is better than 0.5%. For linear alkyl-benzenes and for each temperature, the variation in the saturated heat capacity with the alkyl length is nearly linear. The selected branched alkyl-benzenes are isomers of the linear alkyl-benzenes studied; accordingly, the influence of molecular structure on the saturated heat capacities has been analyzed.     

Phase behavior and structural properties for the triton X-100/<Emphasis Type="Italic">n</Emphasis>-C<Subscript>n</Subscript>H<Subscript>2n+1</Subscript>COOH/H<Subscript>2</Subscript>O system

In the Triton X-100/n-C_nH_2n+1COOH/H₂O system, n-C_nH_2n+1COOH can be used as a cosurfactant. As its chain length increases, the regions of the microemulsions showing oil-in-water (O/W), water-in-oil (W/O), and bicontinuous structures decrease and at the same time, the region of the lamellar liquid crystal increases. In the O/W region, the distribution coefficient K of n-C_nH_2n+1COOH between Triton X-100 micellar phase and water phase increases with the chain length of saturated unbranched monocarboxylic acid. The relationship between the standard solubilization Gibbs free energy of saturated unbranched monocarboxylic acid and the number of methylene groups in the saturated unbranched monocarboxylic acid is given by the equation: ΔG _m ⁰=−2.364−2.818 n(CH₂) kJ·mol⁻¹ in the Triton X-100 micellar system. In the lamellar liquid crystal region, small-angle X-ray diffraction shows that the thickness of the bilayer d ₀ is independent of the weight ratio of n-C_nH_2n+1COOH to Triton X-100, but the volume of the solvent penetrating from the solvent layer to the amphiphilic bilayer increases with the weight ratio of n-C_nH_2n+1COOH to Triton X-100. Furthermore, the d ₀ value increases with the chain length of saturated unbranched monocarboxylic acid, which will contribute to the formation and stabilization of the lamellar liquid crystal.     

Implementation and Field Testing of Characteristics-Based Intersection Queue Estimation Model

This paper proposes and implements a dynamic queue length estimation model at signalized intersections. Based on the continuum principle, this model describes the formation and dissipation of traffic queues at an intersection and the interactions with the signals. The use of a general speeddensity relationship in the model leads to the development of a general mathematical formulation for intersection queue length studies, which allows the model to adapt to changes in traffic and geometric conditions through parameter updating. Field testing of the model has demonstrated initial success. Experience suggests that use of headway and average speed data in density derivation lead to more stable and accurate results than using other traffic data.     

平面P1波入射下饱和度对深埋圆形衬砌动应力集中因子的影响

准饱和土是天然土体中比较常见的一种形式,与饱和土相同,其内可传播三种体波:剪切波、快压缩波(P1波)和慢压缩波(P2波)。忽略土颗粒的压缩性,考虑孔隙流体的压缩性以及孔隙流体与土骨架之间的粘性耦合作用,采用修正的B iot模型,运用波函数展开法研究了平面P1波入射时,准饱和土体内深埋圆形衬砌的散射问题,通过数值计算模拟并分析了衬砌的动应力集中问题,结果表明:不论入射频率为低频(100Hz)还是高频(500Hz),对于相同的衬砌,当土体为准饱和时,动应力集中因子沿周向分布曲线的形状和数值基本保持不变;但土体为完全饱和时,虽然饱和度发生了微小的变化(比99%只提高了1%),但动应力集中因子的值却大幅度地降低,其沿周向分布曲线的形状也发生了显著的变化,在工程设计中应重视饱和度对圆形衬砌动应力集中因子的影响。     

等压固结条件下湘江饱和砂土动力特性研究

在大量的动三轴试验基础上,研究了等压固结条件下湘江饱和砂土振动孔隙水压力、应力应变滞回圈以及应力路径的发展变化规律。研究结果表明:孔压发展变化过程与土体的剪胀、剪缩密切相关;孔压与轴向动应变之间的变化关系显示饱和砂土具有明显的各向异性;从孔压与滞回圈面积累积之和的关系看,孔压的增长伴随着能量的损失;对于围压较大的情形,用ExpAssoc函数进行拟合效果较好。隧振次增加应力应变滞回圈也在发生变化,第一阶段滞回圈呈倒置的帽子形,第二阶段呈菱角形状。在振动初始阶段,应力路径基本上呈倾斜的直线变化;随孔压的增加,加载和卸载两条应力路径逐渐分开,呈纺锤形。     

小浪底水利枢纽左坝肩4~#排水洞渗漏问题分析

小浪底水利枢纽左坝肩4#排水洞是地下发电厂房上游的主要排水帷幕,通过对其排水量长期观测资料与渗压计监测资料以及库水位之间的线性特征进行了综合分析,合理解释了4#排水洞的水量变化与渗漏来源和途径之间的关系,确定了洞水遵循未饱和岩体渗水规律,水量主要来自绕坝渗漏,初步判定了库水渗漏点位置.为绕坝渗漏治理方案提供了切实可靠的依据.