基于模态扩展技术的天线阵面形变重构

文中通过扩展实验模态，利用模态法思想进行形变重构，使用局部对应（Local Correspondence, LC）原理进行重构数值仿真和实验验证。该方法首先通过实验模态测试获得有限个测点的位移模态振型数据，根据实物建立较为准确的有限元模型并提取其模态数据。然后利用LC 原理选择最优的有限元位移模态振型簇对所测实验模态逐阶进行扩展。最后利用扩展后的实验模态进行重构。该方法与系统等效缩减展开过程（System Equivalent Reduction Expansion Process, SEREP）法、模态法的重构结果对比表明，该方法能够显著降低实验模态测试误差对重构精度的影响，并在有限元模型较为准确的情况下提升重构精度。

Deformation Reconstruction of Antenna Array Based on Mode Expansion Technology

By extending the experimental mode, the deformation reconstruction is carried out with the idea of modal method. The local correspondence (LC) principle is used for the numerical simulation and experimental verification of the reconstruction. Firstly, the displacement mode shape data of finite number of measuring points are obtained through the experimental modal test, the accurate finite element model is established and the modal data are extracted. Then, using LC principle, the optimal finite element displacement mode shape cluster is selected to expand the measured experimental modes step by step. At last, the expanded experimental modes are used for reconstruction. Comparing the reconstruction results with the results of system equivalent reduction expansion process (SEREP) method and modal method shows that this method can significantly reduce the influence of experimental modal test error on the reconstruction accuracy and improve the reconstruction accuracy when the finite element model is accurate.