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基于谱约束下的矩阵最佳逼近理论 ,提出一种新的以实验振动测试和参数辨识的数据为参考 ,进行有限元分析模型修正的方法。该方法以实验获得的不完备模态的谱点为约束 ,运用Bayes估计原理来处理试验结果误差带来的实验模态可信度问题 ,求取分析模型的最佳逼近结果 ,然后获得质量阵的最小修正模型。这一方法无需迭代 ,计算简洁 ,可以避免非完备模态空间中修正模型可能出现的“畸变”现象 ,具有较好的物理意义
Based on the matrix best approximation theory under the spectral constraint, a new method based on experimental vibration test and parameter identification is proposed for the finite element analysis model. This method uses the spectral points of the incomplete modes obtained as constraints and applies the Bayesian estimation principle to deal with the experimental modal credibility problem caused by the error of experimental results. The optimal approximation result of the analytical model is obtained and the mass matrix The minimum correction model. This method does not need to iterate and the calculation is concise, which can avoid the “distortion” phenomenon that may appear in the modified model in the incomplete modal space, and has good physical meaning