针对传统的基于频响的模型修正算法在计算规模较大时效率较低的问题，提出一种基于缩减基的有限元模型修正方法：将系统的位移表示为模态综合缩减基或模态振型缩减基的线性叠加，把自然坐标映射至缩减坐标下，使得修正过程均在缩减坐标上进行；并在缩减坐标上引入移频方法实现频响修正，改善了修正参数的收敛速度；采用了一种精度较高的分段频响扩充方法，减小扩充过程带来的额外误差。与基于缩聚的方法对比，基于缩减基的方法在计算效率和精度上更具优越性。 GARTEUR飞机仿真算例和转向架试验的修正结果表明：该方法修正精度较高，性能稳健，有限元模型规模较大时可高效地得到良好的修正结果。
Abstract
In order to solve the problem of traditional model updating algorithm based on FRF during larger calculation scale having lower efficiency, a finite element (FE) model updating method based on reduced bases was proposed. Displacements of the system were expressed as linear superposition of modal synthesis reduced bases or modal shape reduced bases, and the natural coordinates were mapped into the reduced coordinates, so that the updating process was performed in the reduced coordinates. The frequency shift method was introduced into the reduced coordinates to realize FRF correction, and improve convergent speed of the updated parameters. A segmented FRF expanding method with higher accuracy was adopted to reduce additional error caused by the expanding process. Compared with the method based on condensation, the method based on reduced bases was more efficient and accurate. The updating results of GARTEUR aircraft simulation examples and bogie tests showed that the proposed method has higher accuracy and better robust performance; using it can efficiently obtain good correction results when the FE model has a larger scale.
关键词
有限元模型修正 /
频响函数 (FRF) /
缩减基 /
移频方法 /
快速修正
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Key words
finite element (FE) model updating /
frequency response function (FRF) /
reduced basis /
frequency shift method /
fast correction
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