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    基于改进逆有限元法的阵列天线变形监测方法

    A method for deformation monitoring of array antennas based on improved inverse finite element method

    • 摘要: 为实现阵列天线结构在服役过程中的阵面变形监测,针对传统逆有限元法中算法精度与传感器数量之间相互矛盾的问题,研究了基于改进逆有限元法的阵列天线变形重构方法。首先,针对天线阵面结构,构建了基于四节点板单元的阵列天线结构应变与位移之间的矩阵转换关系,利用算法仿真测试了所提方法的重构性能;其次,提出基于多目标遗传算法改进逆有限元法的算法优化模型,通过算法仿真得到针对算法精度与传感器数量的双目标优化解;最后,通过铝板形变试验验证了改进逆有限元法在实际环境下的重构效果。试验结果表明,改进逆有限元法能对重构精度和传感器数量进行双目标优化,能在保证算法重构精度的同时避免传感器冗余。

       

      Abstract: To achieve the monitoring of the array surface deformation of the array antenna structure during its service, aiming at the contradictory issue between the algorithm accuracy and the number of sensors in the traditional inverse finite element method, the deformation reconstruction method of the array antenna based on the improved inverse finite element method was investigated. Firstly, for the antenna array surface structure, the matrix transformation relationship between the strain and displacement of the array antenna structure based on the four-node plate element was constructed, and the reconstruction performance of the algorithm was tested by algorithm simulation. Secondly, an algorithm optimization model based on the improved inverse finite element method with the multi-objective genetic algorithm was proposed, and the dual-objective optimization solution for the algorithm accuracy and the number of sensors was obtained through algorithm simulation. Finally, the reconstruction effect of the improved inverse finite element method in the actual environment was verified through the aluminum plate deformation experiment. The results indicated that the improved inverse finite element method could perform dual-objective optimization on the reconstruction accuracy and the number of sensors, and could ensure the algorithm reconstruction accuracy while avoiding sensor redundancy.

       

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