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该文首先利用识别后的复模态计算出结构的正交模态,然后在Berman-Baruch优化矩阵型法(BB法)基础上提出并推导了改进的Berman-Baruch法(IBB法)。该方法定义了合理的优化目标函数,克服了BB法需要质量归一化模态振型的约束,修正后的模型可保持明确的物理意义和带状特性。该文通过一6个自由度的非比例阻尼质量弹簧阻尼(MSD)系统和实验室下的一6个自由度的框架结构模型修正的计算和比较,验证了IBB法的有效性和实用性。
In this paper, the orthonormal modes of the structure are first calculated by using the identified complex modalities. Then, the improved Berman-Baruch method (IBB method) is proposed and derived based on the Berman-Baruch matrix optimization method (BB method). The method defines a reasonable optimization objective function, which overcomes the constraint of the normalized modal vibration mode required by the BB method. The modified model can maintain the explicit physical meaning and the banded characteristic. This paper verifies the validity and practicability of the IBB method through the calculation and comparison of a six-degree-of-freedom damped mass-damper damping (MSD) system and a six-degree-of-freedom FRA under laboratory conditions.