A note on the reconstruction of sets of finite measure

We prove a measure-theoretic version of a result due to Radcliffe and Scott [8] from 1999 about the reconstruction of infinite sets of real numbers. This answers their question from [8]. This revised version was published online in June 2006 with corrections to the Cover Date.     

Subsonic triple deck flow past a flat plate with an elastic stretch

The steady laminar subsonic flow past a flat plate having a stretch of an elastic membrane, the pressure on the other side of which is adjustable, is studied within the framework of the triple deck theory. The resulting lower deck problem is supplemented with a membrane equation relating the pressure difference across the membrane to its curvature. By pressurizing or depressurizing the membrane, it assumes the form of a hump or a dent that alters the flow characteristics. Numerical solutions obtained, in either case, give plausible account of the interaction between the membrane and the flow.     

基于遗传算法的舰载IMU优化布局

惯性测量单元（IMU）用来为舰载武器系统提供准确的姿态并实时监测舰船甲板的变形，对其数目和位置进行优化具有重要的实用价值．提出了多IMU优化布局的原则，建立了舰载IMU优化布局的数学模型，采用遗传算法对IMU的布局进行了优化求解。仿真结果表明，舰载IMU的布局是影响甲板变形估计精度的一个重要因素，通过对IMU的布局进行优化，减少了舰载武器系统所需IMU的数量；利用优化布局后IMU的输出信息对全舰甲板变形进行估计，估计精度有很大提高。     

舰载角速度匹配传递对准方法研究

为了提高舰载局部捷联惯导系统的导航精度，希望能够在传递对准过程中，对船体甲板变形进行估计，对惯性器件的某些误差进行标定，并进行补偿。作为参数匹配传递对准方法之一的角速度匹配法为此提供了可能。文中对角速度匹配法中的三种不同海况下的系统状态可观测性进行了详细的分析，并对船体甲板变形和陀螺漂移进行了Kalman滤波估计及精度分析。研究结果表明，这一方法具有较好的对准精度和快速性，但具体情况随船体的运动情况而不同。     

板桁结构考虑局部屈曲空间计算的横向条带板段单元法

用有限个横向条带法构造了板桁组合结构板段考虑局部屈曲的空间位移模式。基于三维连续体的虚功增量方程,导出了横向条带板段单元的ＵＬ列式,并考虑了板段单元位形变化的影响。此计算方法自由度少,计算精度高,能用于大型板桁结构的几何非线性分析。文末计算了广东西江桥板桁组合结构模型梁,计算结果与实测结果吻合较好。     

Reconstruction from the deck of -vertex induced subgraphs

The - deck of a graph is its multiset of subgraphs induced by vertices; we study what can be deduced about a graph from its -deck. We strengthen a result of Manvel by proving for that when is large enough ( suffices), the -deck determines whether an -vertex graph is connected ( suffices when , and cannot suffice). The reconstructibility of a graph with vertices is the largest such that is determined by its -deck. We generalize a result of Bollobás by showing for almost all graphs. As an upper bound on , we have . More generally, we compute whenever , which involves extending a result of Stanley. Finally, we show that a complete -partite graph is reconstructible from its -deck.     

On the aeroelastic transient behaviour of a streamlined bridge deck section in a wind tunnel

The study deals with the transient behaviour of a two degrees of freedom bridge deck section in a wind tunnel under the effect of an initial excitation. Response of the bridge deck section subjected to an initial mechanical excitation and excitation by an upstream gust is investigated separately. Experiments are conducted with three different frequency ratios between the plunge and pitch degrees of freedom. This experimental study shows that transient growth of energy occurs for wind velocities below the onset of flutter, reaching a level higher than 5 times the level of the initial excitation. In high wind conditions, this means that statistical or spectral computation techniques might underestimate the motion amplitude reached by a flexible bridge deck. This emphasises the importance of using temporal techniques under such circumstances.     

A system of steel-elastomer sandwich plates for strengthening orthotropic bridge decks

The use of a sandwich plate system (SPS) composed of two steel plates with a solid polymer (polyurethane) core has been introduced as a refurbishment procedure for steel decks of bridges, the so-called orthotropic decks consisting of a deckplate with longitudinal stiffeners and transverse crossbeams. Unfortunately, a great many of existing steel bridges still have structural members that do not comply with the recommendations given in design codes, and therefore damages have developed in them. For a satisfactory refurbishment of the bridges, the SPS technique fulfils all necessary requirements. To this end, both experimental and calculative investigations were carried out at RWTH Aachen to demonstrate the reinforcing and stiffening effect and to prove the suitability of the SPS-overlay technique for general use. The practical applicability of a SPS has been tested successfully in a pilot project for a German motorway bridge under severe traffic. Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 43, No. 2, pp. 271–282, March–April, 2007.     

正交异性钢桥面系的多目标离散优化设计

将大跨径钢桥的正交异性钢桥面板和其上的铺装层作为钢桥面铺装体系整体进行多目标优化设计.取钢桥面铺装体系结构总重量最轻及铺装层使用年限最长两类指标构造目标函数,在此基础上采用功效函数法确定了目标函数的权重系数.应用正交异性钢桥面系力学性能控制指标和疲劳寿命预测公式,建立多目标优化设计的数学模型.引入蚂蚁算法,开发了钢桥面铺装体系结构多目标离散优化设计程序.以国内某大跨径钢桥为对象, 采用多目标优化设计方法, 给出钢桥面铺装体系中各参数的优化值.结果表明, 应用多目标优化设计方法对大跨径钢桥面铺装体系设计是可行的.研究成果可为大跨径钢桥面铺装体系结构的设计提供理论依据.     

Wave-in-deck experiments with focussed waves into a solid deck

This paper examines impact forces resulting from wave-in-deck processes from two separate series of experiments: one with a generic solid deck model, and the other with a combined jacket and deck model, both were conducted with and without an I-beam grillage in-place below the solid deck. A range of inundation levels from 2.1 to 7.1 cm at 1:80 scale is considered. The focus is on global impact forces, which are considered more relevant for integrity assessment of overall bottom-founded structures when survivability is in question and local slamming is not addressed. The objective is to characterise the resultant impact forces as well as to investigate whether there is any interaction between the flows through the jacket and hitting the deck. Focussed wave groups were generated to impinge on the models which were suspended from a carriage over a towing tank. The motion of the support carriage mimics uniform current in-line with the incident waves. Both undisturbed surface elevations as well as impact force time histories were measured. From the first series of tests, a large increase in peak forces as well as high frequency oscillations (force spikes) is observed with the grillage in-place. As soon as the jacket model is in-place for the second series of tests, albeit with a different mounting support arrangement, such a large difference vanishes, which could likely be due to the effect of frequency-dependent transfer functions. We provide experimental evidence of the presence of the jacket in modifying the wave impact on the deck through a significant reduction in the total horizontal impulse. The effects of current on the wave impact forces are also investigated. A simple analytical model based on a momentum argument is used to describe the scaling of horizontal peak force with currents and inundation levels. Finally, the importance of the short duration force spikes as well as vertical impact loads on a real structure at full-scale is discussed based on the same analytical model.