基于增强响应灵敏度法的多体系统参数识别

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摘要在多体系统的模型建立、优化设计、测试诊断等过程中，准确地识别系统参数是非常必要的。本文通过增强响应灵敏度法对多体系统的参数进行了精准识别。本文主要包含三部分：首先利用传统增广法结合Baumgarte约束违约修正来求解多体系统的响应；然后对于多体系统的参数识别问题，则将其建模为一个非线性最小二乘优化问题，并采用增强响应灵敏度法进行求解；最后通过数值算例来验证算法的有效性。算例表明，本文提出的正问题计算方法获得系统响应可以和Maplesim仿真结果完全吻合，且增强响应灵敏度法也能准确识别系统的参数。此外，本文所提的参数识别方法还有良好的抗噪性能。
关键词：多体系统；参数识别；置信域限制；一致性指标；增强的响应灵敏度法

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	陈敏
	刘广
	汪利
	吕中荣

关键词 ：多体系统, 参数识别, 置信域限制, 一致性指标, 增强的响应灵敏度法

Abstract：It is very necessary to accurately identify the system parameters in the modeling, optimization design, test and diagnosis process of the multibody systems. In this paper, the parameters of the multibody system are accurately identified by the enhanced response sensitivity approach. This paper mainly includes three parts: firstly, the response of the multibody system is obtained by the traditional augmentation method combined with Baumgarte constraint violation stabilization. Then, the parameter identification problem of the multibody system is modeled as a nonlinear least-squares optimization problem, and the enhanced response sensitivity approach is used to tackle it. Finally, numerical examples are given to verify the effectiveness of the proposed approach. The numerical examples show that the system response obtained by the proposed method is completely consistent with the Maplesim simulation results, and the enhanced response sensitivity approach can also identify the system parameters accurately. In addition, the parameter identification method proposed in this paper also has a good anti-noise performance.
Key words: multibody systems; parameter identification; trust-region constraint; agreement indicator; enhanced response sensitivity approach

Key words： multibody systems parameter identification trust-region constraint agreement indicator enhanced response sensitivity approach

收稿日期: 2021-09-08 出版日期: 2022-11-15

引用本文:

陈敏，刘广，汪利，吕中荣. 基于增强响应灵敏度法的多体系统参数识别[J]. 振动与冲击, 2022, 41(21): 121-128.
CHEN Min, LIU Guang, WANG Li, L Zhongrong. Parametric identification of multibody system based on enhanced response sensitivity method. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(21): 121-128.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2022/V41/I21/121

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