ABSTRACT This paper presents a solution for a three-stump anchor system using a continuous bridle and assuming frictionless blocks. This solution is unique in that the location of the bridle block is not known a priori. A particle swarm optimization was used to estimate the three coordinates of the bridle block and the tension in the bridle. A method employing trilateration was developed to locate the known points in the three-stump anchor system. The advantage to using this method is that only distances between known points need to be measured in the field (angles are not required). For two of the field cases, the ratio of skyline tension to bridle tension was close to the maximum of 6 (bridal tension reduction factor) that could be achieved given the three-stump anchor system, and the other case had a ratio of 4. It was found for shorter bridle lengths, the three-stump anchor system is more sensitive to how in lead the stumps are with the skyline. For three-stump anchor systems, the bridle tension is more strongly controlled by the location of the two outside stumps, and it is relatively insensitive to the location of the middle stump.

中文翻译：

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连续缰绳多桩锚的设计

摘要 本文提出了一种使用连续缰绳并假设无摩擦块的三桩锚固系统的解决方案。该解决方案的独特之处在于，无法先验地知道缰绳块的位置。使用粒子群优化来估计缰绳块的三个坐标和缰绳中的张力。开发了一种采用三边测量的方法来定位三桩锚系统中的已知点。使用这种方法的优点是只需在现场测量已知点之间的距离（不需要角度）。对于两个野外案例，天际线张力与缰绳张力的比率接近给定三桩锚固系统所能达到的最大值 6（新娘张力降低系数），而另一个案例的比率为 4。发现对于较短的缰绳长度，三树桩锚固系统对树桩与天际线的领先程度更为敏感。对于三桩锚固系统，缰绳张力更受外侧两桩位置的控制，而对中间桩的位置相对不敏感。