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为解决现有的时频域融合算法中反复使用快速傅里叶变换而出现频谱混叠误差和频谱系数周期性重复的问题,采用快速抗混叠傅里叶变换取代原有的快速傅里叶变换,从计算精度和效率两个方面对时频域融合算法进行改进.使用改进后的抗混叠时频域融合算法对某真实叶片的非线性强迫振动响应进行了计算,并与原算法的计算结果进行了比较.计算结果表明:抗混叠时频域融合算法在保证精度的前提下,计算速度约为原算法的4倍.该算法适合于有限元模型、精度要求高的非线性系统的动力学响应分析.
In order to solve the problem that the frequency aliasing error and the spectral coefficient are repeated periodically in the existing time-frequency domain fusion algorithm repeatedly using the fast Fourier transform, a fast anti-aliasing Fourier transform is used to replace the existing fast Fourier transform Transform, and improve the time-frequency domain fusion algorithm from two aspects of calculation precision and efficiency.An improved nonlinear anti-aliasing time-frequency domain fusion algorithm is used to calculate the nonlinear forced vibration response of a real blade, and is compared with the original algorithm The results show that the anti-aliasing time-frequency domain fusion algorithm is about 4 times faster than the original one in the premise of ensuring accuracy, which is suitable for the finite element model and the nonlinear system with high precision Kinetic Response Analysis.