基于多项式拟合初值的动载荷识别修正算法

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摘要针对Wilson-θ反分析法因初值敏感导致载荷识别结果不理想的问题，基于误差修正思想引入多项式拟合方法修正初始值，并对Wilson-θ反分析法做出改进。通过推导Wilson-θ反分析法误差传递公式，总结了初始误差对识别结果的影响原理，并利用多项式拟合方法计算位移趋势项实现对系统初始值的修正。结果表明，多项式拟合法可有效解决Wilson-θ反分析法动载荷识别的初值敏感问题，并具备一定的抗噪性能及较高的精度。

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	赵凤遥1
	张建成1
	葛巍1
	姜金辉2
	李寒雨1

关键词 ： Wilson-&theta, 反分析法；初值敏感；多项式拟合；动载荷识别

Abstract：Aiming at the problem of load identification results being not ideal due to initial value sensitivity of Wilson-θ inverse analysis method, the polynomial fitting method was introduced to correct initial value based on the idea of error correction to improve Wilson-θ inverse analysis method.Through deducing the error transfer formula of Wilson-θ inverse analysis method, the influencing principle of initial error on identification results was summarized, and the polynomial fitting method was used to calculate the displacement trend term to correct the initial value of the system.The results showed that the polynomial fitting method can effectively solve the initial value sensitivity problem of Wilson-θ inverse analysis method, and has a certain anti-noise performance and higher accuracy.

Key words： Wilson-θ inverse analysis method initial value sensitivity polynomial fitting dynamic load identification

收稿日期: 2020-08-31 出版日期: 2021-06-15

引用本文:

赵凤遥1，张建成1，葛巍1，姜金辉2，李寒雨1. 基于多项式拟合初值的动载荷识别修正算法[J]. 振动与冲击, 2021, 40(11): 211-219.
ZHAO Fengyao1, ZHANG Jiancheng1, GE Wei1, JIANG Jinhui2, LI Hanyu1. Dynamic load identification correction algorithm based on polynomial fitting initial value. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(11): 211-219.

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http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2021/V40/I11/211

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