基于多层次权重系数的结构动力学模型修正

Model Updating Analysis of Structural Dynamic Problem Based on Multi-Level Weight Coefficients

针对结构动力学模型修正问题,提出了一种改进的模型修正方法.在考虑模态频率因素和频率响应因素的模型修正方程基础上,建立了同时包含频率参数和结构响应参数的结构优化方程.根据复杂动力学问题中涉及的多参数因子和多层次问题,引入了多层次理论,提出了多层次权重系数问题,建立考虑多参数、多层次的结构动力学修正归一化模型.最后,以船艇基座结构为对象,开展了基座的模型修正数值计算.计算结果表明,所提出的方法可为复杂结构模型修正问题的研究提供新思路.

In the present article,a modified finite element model updating method for structural dynamic response was proposed.The model updating based on natural frequency and dynamic response parameter was established,respectively.The optimization formulation for dynamic model updating was deduced by consideration of frequency factor and dynamic response factor.Based on the multi-parameter factors and multilevel factors for the dynamic characteristics of the complex structure,the analytical hierarchy process approach was introduced to define of the weight coefficients.According to the dynamic model updating problem,the multi-hierarchy weight coefficient problem was presented,and the normalized model was established.Finally,a ship mounting structure was taken as an example,and its numerical analysis was carried out.The results demonstrated that the proposed method has provided a new approach to analyze the dynamic model updating problem of complex structure.