粒子群算法在基于频率的两端固结吊杆索力识别中的应用

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振动与冲击 ›› 2018, Vol. 37 ›› Issue (9) : 196-201.

论文

李睿1，李晓章1，郑祥隆2，周亦唐1

作者信息 +

Application of PSO in frequency-based tension identification of hanger rods with two fixed ends

LI Rui1 LI Xiaozhang1 ZHENG Xianglong2 ZHOU Yitang1

Author information +

文章历史 +

摘要

频率法广泛应用于拱桥吊杆的索力实测中，但传统频率法由于忽略弯曲刚度的影响，在应用于拱桥两端固结吊杆的索力计算时误差很大，无法满足工程精度要求。本文首先从运动方程出发得到两端固结吊杆的频率解析方程，然后利用粒子群算法对该超越的频率方程进行多维空间搜索求解，最终实现利用两阶实测频率对吊杆索力和弯曲刚度的精确识别。通过对虚拟吊杆索力识别和误差分析，验证了本文方法的识别精准性；通过对实际吊杆的索力识别，验证了本文方法的工程可行性。

Abstract

The Frequency method is widely used to measure tension of hanger rods in arch bridges. But, the traditional frequency method ignores the effects of bending stiffness. When it is used to calculate tensions of hanger rods with two fixed ends, the calculation error is too large to meet requirements of engineering accuracy. Here, the frequency equation of a hanger rod with two fixed ends was deduced with its dynamic equation. Then the particle swarm optimization (PSO) method was adopted to solve this transcendental frequency equation. Finally, two order natural frequencies measured of the hanger rod were employed to realize accurate recognition of tension and bending stiffness of the hanger rod. Through identifying tension of a virtual hanger rod and error analysis, the recognition accuracy of the proposed method was verified. Through identifying tension of an actual hanger rod, the engineering feasibility of the proposed method was verified.

关键词

粒子群算法 / 索力识别 / 两端固结吊杆 / 频率

Key words

particle swarm optimization (PSO)

/ tension identification / hanger rod with two fixed ends / frequency

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导出引用

李睿1，李晓章1，郑祥隆2，周亦唐1. 粒子群算法在基于频率的两端固结吊杆索力识别中的应用[J]. 振动与冲击, 2018, 37(9): 196-201

LI Rui1 LI Xiaozhang1 ZHENG Xianglong2 ZHOU Yitang1 . Application of PSO in frequency-based tension identification of hanger rods with two fixed ends[J]. Journal of Vibration and Shock, 2018, 37(9): 196-201

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