基于Markov参数精细积分法的载荷识别研究

郭杏林 毛玉明 赵岩 朱礼文 潘忠文

振动与冲击 ›› 2009, Vol. 28 ›› Issue (3) : 27-30.

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PDF(1145 KB)
振动与冲击 ›› 2009, Vol. 28 ›› Issue (3) : 27-30.
论文

基于Markov参数精细积分法的载荷识别研究

  • 郭杏林1 毛玉明1 赵岩1 朱礼文2 潘忠文2
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Researches on force Identification based on Precise Time-step Integration for Markov parameters

  • Guo Xinglin Mao Yuming Zhao Yan Zhu Liwen Pan Zhongwen
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摘要

对于结构受多点分布动态荷载识别问题提出了精细正则化算法。基于状态空间描述建立了离散动力系统滑动平均模型,并应用2N算法精细计算了系统模型的马尔科夫(Markov)参数矩阵,给出了全局时间域内多点分布动态载荷识别问题的精细识别模型。针对载荷辨识模型求解过程中遇到的方程病态问题,采用正则化截断奇异值分解技术进行处理。通过有限元数值模型仿真,验证了所提出方法的正确性和有效性。

Abstract

In many practical situations, it is difficult, if not impossible, to perform direct measurements or calculations of the external multi-force acting on vibrating structures. This paper presents a multi-force identification method which can commendably reconstruct the spatially distributed multi-force making use of limited measurement points. This method constitutes a discrete dynamic moving average model in state space and further adopts 2N algorithm precisely seeking for Markov parameter matrix in identification model. A regularization technique based on truncated singular value decomposition method is introduced to seek for a stability and approximate solution for the inverse process in whole time domain. Numerical simulation shows that this method is valid and effective.

Key words

precise time step integration method / load identification / ill-conditioned problem / moving average model / regularization technology

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导出引用
郭杏林 毛玉明 赵岩 朱礼文 潘忠文. 基于Markov参数精细积分法的载荷识别研究[J]. 振动与冲击, 2009, 28(3): 27-30
Guo Xinglin Mao Yuming Zhao Yan Zhu Liwen Pan Zhongwen. Researches on force Identification based on Precise Time-step Integration for Markov parameters[J]. Journal of Vibration and Shock, 2009, 28(3): 27-30

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