2015网络认证杯A题优秀论文(5)

参赛队号: 2584

所选题目: A 题

英文摘要（选填）

（此摘要非论文必须部分，选填可加分，加分不超过论文总分的5%）

Rope knot is necessary skills in daily life, people in different situations have different USES and lawmakers, knot, the knot of the cross points, coil number, firmness, space composition, due to the influence of different intensity, etc.

In view of the problem a: first of all, we through the network search summarizes common dozens of knot formation and knot image is presented. Then, from the selected six clock common practical knot is studied. Projection mapping method, we use the local analysis method on the space point in the plane, analysis under the different style of single knot, cross points in three dimensional space nodes, they are projected onto a two-dimensional plane, write their corresponding coding matrix; Then the different way of knot, the difference between its structure, summarizes the knot knot buttons, crossing points and winding number difference, by looking for mathematics

knowledge, and give: firmness = "buckle number + cross points + concise judgment method of winding number (1) whether its in the load is easy to loose. And carries on the summary and promotion.

In view of the problem two: first, we need the information for modeling are summarized analysis, model of different knot has carried on the preliminary assumption and strength of the rope has carried on the precise definition, preliminary understanding the factors, which affect the strength of rope knot on the number of turns. Then, we simplified the model, to further understand the factors that influence the diameter of the rope strength. And the structure of knot knot buttons properties influence on the diameter of the preliminary analysis. We use comparative analysis method, a polypropylene fiber rope, for example, the knot on the number of twist to the influence of diameter caused by physical formula analysis step by step, take the control variable method. We use

intersection quantification the knot on the number of turns, and the problem of one of the selected six knot twist number has carried on the quantitative analysis, adopts the EXCLE for data fitting, MATLAB for fitting out the function of image processing. Concluded that the strength of the rope more cross points into inverse function relationship. Using the function relationship, we have six knot rope strength to carry on the estimate, and the estimate is summarized in table 5.

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