基于固有频率向量的模型修正方法
Model Updating Based on the Natural Frequency Vector
本文在固有频率向量及固有频率向量置信准则的概念基础上,提出了一种基于固有频率向量的模型修正方法,并用固有频率向量置信准则来表示模型修正前后两个结构的固有频率向量之间的相关程度。首先采用有限元方法或其它建模方法建立结构的动力学模型,获得结构初始参数,然后用固有频率向量置信准则作为指标,分别对固有频率向量的方向和幅值进行优化。在一个8层剪切框架模型上,对本文提出的模型修正方法进行了有效性验证。结果表明,仅仅改变少量参数值,该方法就可以修正得到满意的动力学模型。
Based on the concept of natural frequency vector and natural frequency vector assurance criterion (NFVAC), a new model updating method is proposed. In this method, the natural frequency vector assurance criterion is used to verify the correlation of natural frequency vectors of the structures before and after updating. At first, an initial dynamic model of the structure is built using FEM or other method to obtain the initial parameters such as mass and stiffness matrix, natural frequencies and modes, and then the natural frequency vector assurance criterion is used as the object function of optimization to obtain the optimal orientation and amplitude of the natural frequency vector. The updating procedure of this method is described in details and an 8-stories shear frame test model is used to demonstrate the efficiency of the proposed method. The results show that using this method, the updated model agrees very well with the test model.
王乐、谭光辉、李斌、杨智春、刘江华
工程基础科学
固有频率向量固有频率向量置信准则(NFVAC)模型修正
Natural frequency vector natural frequency vector assurance criterion (NFVAC) model updating
王乐,谭光辉,李斌,杨智春,刘江华.基于固有频率向量的模型修正方法[EB/OL].(2006-12-27)[2025-08-02].http://www.paper.edu.cn/releasepaper/content/200612-393.点此复制
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