人民长江

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基于优化非等时距权重傅里叶灰色模型的变形预测

周春霖,王有志,徐刚年,王世民,张雪   

  • 出版日期:2019-01-28 发布日期:2019-01-28

Optimization of non-equal interval weight Fourier grey model for deformation prediction

ZHOU Chunlin,WANG Youzhi,XU Gangnian,WANG Shimin,ZHANG Xue   

  • Online:2019-01-28 Published:2019-01-28

摘要: 针对传统非等时距灰色模型对变形预测精度偏低问题,首先在传统非等时距灰色模型的基础上引入权重系数优化生成序列,然后利用傅里叶变换函数对残差进行修正,建立了权重优化-傅里叶变换函数残差修正的组合预测模型;最后以某下承式集散拱肋拱桥为背景,对其主梁变形进行预测。预测结果表明:该模型预测值总体平均相对误差为2.4%,高于传统非等时距灰色模型,预测精度为1级,为主梁变形预测提供了一种有效的技术手段。

关键词: 变形预测, 灰色模型, 非等时距, 权重系数, 傅里叶变换, 残差修正

Abstract: In order to solve the problem of low accuracy of traditional non-equal interval gray model, firstly the optimal generating sequence of weight coefficient was introduced to the traditional non-equal interval grey model, and then Fourier transform function was used to correct the residual error, so a combined prediction model of weight optimization-Fourier transform function residual correction was formed. Then the deformation of the main beam of a through-type arch bridge with distributed arch-ribs was predicted. The prediction results showed that the overall average relative error of the prediction value was 2.4%, which was better than that of the traditional non-equal interval grey model, and the prediction accuracy was grade 1. The establishment and application of the new model provide an effective technical means for the deformation prediction of main beams.

Key words: deformation prediction, grey model, non-equal interval, weight coefficient, Fourier transform, residual error correction