Model Updating Based on Bayesian Theory and Improved Objective Function

IF 0.6 4区 工程技术 Q4 MECHANICS
Mechanika Pub Date : 2023-10-18 DOI:10.5755/j02.mech.33244
Ming ZHAI, Yikui XIE
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引用次数: 0

Abstract

Model updating is the process of calibrating model parameters to improve the accuracy of numerical prediction. To improve the accuracy and efficiency of model updating, this paper proposes a model updating method based on Bayesian theory and improved objective function. A natural frequency damage index is proposed based on the Bayesian theory, which is calculated according to the established damage position function and the measured frequency data. The distribution of the index can determine the damage location and the number of updated parameters for model updating. An objective function with weight terms is proposed based on strain assurance criterion to describes the difference between the finite element model and the actual structure, and the weight term of the objective function is determined by the sensitivity coefficient. Examples show that the improved model updating method is more accurate and efficient.
基于贝叶斯理论和改进目标函数的模型更新
模型更新是为了提高数值预测精度而对模型参数进行校正的过程。为了提高模型更新的准确性和效率,本文提出了一种基于贝叶斯理论和改进目标函数的模型更新方法。根据建立的损伤位置函数和实测频率数据,提出了基于贝叶斯理论的固有频率损伤指数。该指标的分布可以确定损伤位置和更新参数的数量,用于模型更新。基于应变保证准则,提出了一个带权项的目标函数来描述有限元模型与实际结构的差异,目标函数的权项由灵敏度系数确定。实例表明,改进后的模型更新方法更加准确、高效。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Mechanika
Mechanika 物理-力学
CiteScore
1.30
自引率
0.00%
发文量
50
审稿时长
3 months
期刊介绍: The journal is publishing scientific papers dealing with the following problems: Mechanics of Solid Bodies; Mechanics of Fluids and Gases; Dynamics of Mechanical Systems; Design and Optimization of Mechanical Systems; Mechanical Technologies.
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