Further aspects of rectangular routeing in Smeed's City

Two types of routeing on a rectangular system of roads are examined in a simple circular city where homes and workplaces are uniformly and independently distributed. Expressions for the number of vehicles crossing a given line segment, the average distance travelled by a commuter and the total number of crossings of vehicle paths in the city are derived. Comparisons are made with other routeing systems in terms of average distance travelled, expected number of crossings and average travel time.     

Optimal handling capacity at a berth

In a recent paper Wanhill [1] described a method for determining the number of berths that should be provided at a port so that the total usage cost would be minimized. However, in many situations a port will provide a single specialized berth to cater for a particular type of cargo; for example, the unloading of iron-ore at a steelworks or the discharge of oil at a general cargo port. The problem then is not one of deciding on the number of berths to be built but rather that of finding the optimal cargo handling capacity for the single berth available. A model is presented in this paper indicating how such a decision may be made, and two examples give approximate lower and upper bounds for the optimal capacity for many practical cases. A second paper will show how a theoretical model often has to be modified in the light of particular circumstances.     

Unloading facilities at an iron-ore terminal

In this paper a project undertaken by the author is described to illustrate modifications which may be necessary to the type of analysis given in an earlier paper [1] when difficulties arise from various practical considerations. The problem examined deals with the installation of unloading facilities at a purpose-built iron ore terminal at a steelworks. However, some of the data quoted has been coded to preserve confidentiality. The project was bedevilled by an unusual number of uncertainties; to appreciate these it is necessary to view them in relation to the situation existing at that time.     

空心板材固有频率的求解及优化设计

用扩展Ｄｉｒａｃ函数一表示空心板材在刚度以及质量密度上由空洞而引起的非连续变化,从而不连续函数的求解问题为连续函数的求解问题,继而用Ｇａｌｅｒｋｉｎ法对其固有频率进行了求解,得到了适应于任意大小、任意分布空调的空心板材的固有频率计算公式。计算结果显示：空心板材的固有频率不仅与板材的几何尺寸有关,而且还与各空调的位置即分布方式有关,除此之外还与混凝土的Ｐｏｉｓｓｏｎ比有关。