基于EI及MAC混合算法的斜拉桥传感器优化布置
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    摘要:

    提出一种传感器优化布置算法,结合有效独立法和模态置信保证准则(Modal Assu rance Criterion,简称MAC法)的优点,解决了采 用MAC法进行传感器优化布置时所遇到的问题。首先,利用列主元QR分解技术得到MAC法确定 传感器位置的初始测点,然后用有效独立法确定侯选添加测点的范围,避免了添加测点的盲目 性,从侯选测点中选择满足MAC矩阵非对角元素最小的测点,添加到初始测点中,不断循环直至 达到要求,上述算法采用matlab70编制程序实现。最后,以五河口大桥为研究对象,运用 程序对五河口大桥主梁作了不同数目测点方案的传感器优化布置研究。结果表明,混合算法 不仅保证了所测向量的MAC矩阵非对角元素值较小,而且具有较好的线性独立性和空间交角 。

    Abstract:

    A novel algorithm named united method is presented for optimal sensor placement. The algorithm takes full advantage o f merits of both effective independence(EI) and modal assurance criterion(M AC) methods,and resolves the problem existing in the MAC method t o locate the optimal sensor placement. Firstly, to acquire the initial measuring poi nt,the technique based on a column principal component QR decomposition is adopt ed . Secondly, the candidate points to be added are determined by using the effecti ve independent method, which avoids the blindness and random of adding points. Thirdly, some candidate points are added to the measuring poin t cluster and the chosen points should meet the demand of the minim um nodiagonal element. The last step will not break until the required measuring points are obtained. T he algorithm is coded by using Matlab 70. A cablestayed bridge is chosen to test the mixed method and several o ptimal sensor placement projects with different measuring points are offered. The results show that the mixed method can not only ensure the minimum nonedia gonal component value of the MAC matrix but also ensure the measured vector line ar independence and the maximum space angle.

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