量子粒子群结合小波变换识别结构模态参数

常军;巩文龙

振动与冲击 ›› 2014, Vol. 33 ›› Issue (23) : 42-46.

PDF(843 KB)
PDF(843 KB)
振动与冲击 ›› 2014, Vol. 33 ›› Issue (23) : 42-46.
论文

量子粒子群结合小波变换识别结构模态参数

  • 常军,巩文龙

作者信息 +

Structural modal parameter identification based on quantum-behaved particle swarm optimization combined with wavelet transform

  • CHANG Jun, Gong Wenlong

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摘要

通过对结构响应进行连续小波变换将多自由度模态参数识别转化为多个单自由度模态参数识别。建立小波骨架理论公式与由结构输出信号计算而得的小波骨架之差为目标函数的优化问题,通过搜索包含于小波骨架理论公式中的模态参数的取值而使目标值最小,从而将优化问题转化为模态参数识别问题。量子粒子群算法是一种基于群体智能理论的优化算法。将量子粒子群算法应用到上述方法中一次性识别出结构的频率、阻尼和振型。最后采用数值模拟的简支梁对该方法进行有效性验证。结果表明,量子粒子群算法结合连续小波变换可以有效地识别环境激励下的结构模态参数。

Abstract

Multi-DOFs structural modal parameters identification turns into several SDF structural modal parameters identifications through treating structural output data by Continuous Wavelet Transform. An optimization issue with the objection function of the difference between theoretical formula of wavelet skeleton and the wavelet skeleton calculated from structural output-only data is carried out. The optimal objective value can be gained through searching reasonable modal parameters included in the theoretical formula of wavelet skeleton. And the optimization turns into structural modal parameters identification. Quantum-behaved Particle Swarm Optimization, as a swarm intelligence optimization algorithm, is used in the structural modal parameters identification above to identify the structural modal parameters (frequencies, damp ratios and modal shapes) under ambient excitation just one time. Finally, the modal parameters identification method based on Quantum-behaved Particle Swarm Optimization combined with Continuous Wavelet Transform presented herein is verified by a numerical simulation of a simple-support beam. The results show that methodology herein can effectively identify structural modal parameters under ambient excitation.

关键词

连续小波变换 / 量子粒子群算法 / 环境激励 / 结构模态参数识别 / 智能优化算法

Key words

Continuous Wavelet Transform / Quantum-behaved Particle Swarm Optimization / Ambient Excitation / Structural Modal Parameters Identification / Intelligence optimization algorithm

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导出引用
常军;巩文龙. 量子粒子群结合小波变换识别结构模态参数 [J]. 振动与冲击, 2014, 33(23): 42-46
CHANG Jun;Gong Wenlong. Structural modal parameter identification based on quantum-behaved particle swarm optimization combined with wavelet transform[J]. Journal of Vibration and Shock, 2014, 33(23): 42-46

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