On the hollowness ratio effect on the dynamics of a spinning Rayleigh beam

The analytical solutions of a spinning Rayleigh beam with rotatory moment inertia and gyroscopic effect are presented in this paper. The critical speeds can be written analytically in a function of the length-to-radius ratio (l) defined by the beam's length over its outer radius and the hollowness ratio (α) defined by the hollow area over the total area of the cross section. The sensitivity analyses show that the critical speed is decreasing with l, but increasing with α. Moreover, α is more sensitive to the critical speeds. The design of a spinning beam should therefore be emphasized more on the hollowness factor. Contrary to common belief, only finite critical speeds exist and the number is independent of the boundary conditions. It increases monotonically with l, but decreases with α. The steady state unbalanced response can therefore be expressed analytically by the finite precessional modes and the corresponding generalized coordinates.     

Nutrient removal performance of an anaerobic–anoxic–aerobic process as a function of influent C/P ratio

The laboratory scale anaerobic–anoxic–aerobic (A²O) process fed with synthetic brewage wastewater was designed to investigate the effects of changing feed C/P ratio on the performance of biological nutrient removal (BNR) processes. In the experiment, the influent chemical oxygen demand (COD) concentration was kept at approximately 300 mg L^?1 while the total phosphorus concentration was varied to obtain the desired C/P ratio. Results showed that when the C/P ratio was lower than 32, phosphorus removal efficiency increased as C/P ratio increased linearly, while when the C/P ratio was higher than 32, the P removal efficiency was maintained at 90–98%, and effluent P concentration was lower than 0.5 mg L^?1. However, regardless of the C/P ratio, excellent COD removal (90% or higher) and good total nitrogen removal (75–84%) were maintained throughout the experiments. It was also found that very good linear correlation was obtained between COD uptake per unit P released in the anaerobic zone and C/P ratio. In addition, the P content in the wasted activated sludge increased with the decrease in the C/P ratio. Based on the results, it was recommended that the wastewater C/P ratio and its effects be incorporated into BNR design and operational procedures, appropriate C/P ratios were used to achieve the effluent treatment goals. Copyright © 2005 Society of Chemical Industry     

Width-restricted layering of acyclic digraphs with consideration of dummy nodes

This paper deals with the problem of finding graph layerings restricted to a given maximal width. However, other than previous approaches for width-restricted layering, we take into account the space for dummy nodes, which are introduced by edges crossing a layer. The main result is that the problem of finding a width-restricted layering under consideration of dummy nodes is NP-complete even when all regular nodes have the same constant width and all dummy nodes have the same constant width.     

The concept of an endurance limit for adhesive joints

The effect of cyclic stressing on the strength of single lap adhesive joints has been studied and a considerable reduction in strength observed when the maximum stress exceeds about 40% of the ultimate tensile strength, but whether or not a true endurance limit exists is not proven. Fallacies are shown in some of the techniques which have been proposed for studying the fatigue behaviour of adhesive joints.     

Limit Cycles in a Class of Hybrid Dynamical Systems

This paper deals with qualitative analysis of the so-called switched fluid networks. Such networks are used to model communication, computer, and flexible manufacturing systems. We prove that for any deterministic network from a specific class, there exists a finite number of limit cycles attracting all the trajectories of the system. Furthermore, we determine this number. Date received: March 11, 2000. Date revised: January 19, 2001.     

Lower bound limit analysis using non‐linear programming

This paper describes a new formulation, based on linear finite elements and non‐linear programming, for computing rigorous lower bounds in 1, 2 and 3 dimensions. The resulting optimization problem is typically very large and highly sparse and is solved using a fast quasi‐Newton method whose iteration count is largely independent of the mesh refinement. For two‐dimensional applications, the new formulation is shown to be vastly superior to an equivalent formulation that is based on a linearized yield surface and linear programming. Although it has been developed primarily for geotechnical applications, the method can be used for a wide range of plasticity problems including those with inhomogeneous materials, complex loading, and complicated geometry. Copyright © 2002 John Wiley & Sons, Ltd.     

复合沉淀氯化镨钕工艺研究

针对草酸沉淀成本高的问题，提出了复合沉淀的方法，试验结果及生产应用都证明了此方法能达到降耗同效的目的。     

胜利油区厚层底水断块油藏水平井经济技术政策界限

厚层底水断块油藏高含水期水平井开发效果既受剩余油富集区大小、油层厚度、水平井水平段长度、水平井在平面上和纵向上位置以及生产压差的影响，更受油价的制约。因此，通过胜利油区实际资料统计分析、数值模拟和解析法以及经济评价综合研究，提出了在当前油价和技术条件下，这类油藏水平井地质设计和生产控制的经济技术政策界限，即水平井平面位置应避开老井水锥半径20m以上；水平段垂向位置应为距油水界面0．7倍的油层厚度；水平段长度一般为200～250m；油层厚度应大于或等于8m；初期生产压差一般控制为0．6～1．OMPa；对于埋藏深度为1500m的油藏，油价从35美元／bb1升到40美元美元／bb1时，单井经济极限采油量从7101t降到6105t。     

A limit analysis of nonlinear elastic lateral displacements of thin-walled reinforced and prestressed beams

An incremental iterative process based on direct energy minimization is presented for a limit analysis of nonlinear elastic lateral displacements and twists of reinforced and prestressed beams. Problems encountered with the constitutive relations are discussed and two possible material models are presented.     

承压水漏斗地区地下水位时空分布预报的BP网络模型

依据水均衡原理，导出承压水漏斗区任意一点水位与其影响因素之间的复杂的非线性关系，在此基础上提出承压水漏斗水位时空分布预报的BP神经网络模型。该模型具有 分布参数模型的特征，且不需用到区域的水文地质参数。最后针对某实例进行了模型设计及预报分析，通过对部分观测井后期实测数据的训练，优选出双隐层的网络结构及其网络参数。随后用这些观测井的前3年数据进行了检验，并对其他观测井数据进行预报。计算表明，该模型对地下水位拟合与预报的合格率较高，可以获得研究区域某一时刻水位在空间上的分布。