通过应用运筹图论中求P-重心的方法，重点研究高层建筑风致响应实测时的测点优化布置问题。具体操作是提取所监测高层建筑在风荷载作用下的数据进行处理，将高层建筑简化为层模型，再将该模型转为图论中研究的网络图，计算图中的顶点权重、边值以及权距离矩阵，最后利用求P-重心问题下界的算法得到重心，对所得重心分析确定测点。同时通过一个高层建筑动态响应的实例具体说明该方法，在优化布置后得到新的响应信息，算出此时结构适应度函数值并与结构适应度函数的最优值进行比较，发现两者相差很小，说明应用这种方法得到的结构风致响应数据具有相当高的精度，很好的解决了测点优化布置问题。
Abstract
A methodology to seek a network graph s P-gravity center utilizing graph theory was used to study optimal sensors locating for wind-induced responses measurement of tall buildings. Firstly, the measured data of high–rise buildings bearing wind loads were collected, then these data were processed, the tall building was simplified as a layer model, and the model was converted into a network graph. The graph s parameters, such as, vertex weighting, boundary value and weighted distance matrix were calculated. Finally, the gravity center of the graph was calculated with the algorithm to seek the lower bound of P-gravity center. The obtained gravity center was analyzed to determine sensorslocations. An example of tall building was used to illustrate this method . After optimizing sensors locating, the tallbuilding responses new information was obtained. With the new information, the structure s flexibility function wascomputed and compared with the known optimal value of the structure’s flexibility function. It was shown that both of them agree well; so the proposed method has a good accuracy and the optimal sensors locating problem is well solved.
关键词
高层建筑 /
测点布置 /
优化 /
图论
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Key words
tall buildings /
sensors locating /
optimization /
graph theory
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