为提高壳结构-声场耦合分析的计算精度,将光滑有限元法(smoothed finite element method,SFEM)推广到壳结构-声场耦合问题的结构域分析中,推导了光滑有限元-有限元法分析壳结构-声场耦合问题的计算公式。结构-声场耦合系统方程在结构中用位移法表示;在流体中用声压法表示。在结构域中应用分区应力光滑技术,提高了弯曲刚度矩阵和膜刚度矩阵的计算精度和效率;在流体域中应用标准有限元模型进行分析。以六面体声场-结构耦合模型和简化的微车声固耦合模型为研究对象,结果表明,与有限元相比,该方法在分析结构-声场耦合问题时具有更高的精度。
When used for separating multi-component non-stationary signals, the adaptive time-varying filter(ATF) based on multi-scale chirplet sparse signal decomposition(MCSSD) generates phase shift and signal distortion. To overcome this drawback, the zero phase filter is introduced to the mentioned filter, and a fault diagnosis method for speed-changing gearbox is proposed. Firstly, the gear meshing frequency of each gearbox is estimated by chirplet path pursuit. Then, according to the estimated gear meshing frequencies, an adaptive zero phase time-varying filter(AZPTF) is designed to filter the original signal. Finally, the basis for fault diagnosis is acquired by the envelope order analysis to the filtered signal. The signal consisting of two time-varying amplitude modulation and frequency modulation(AM-FM) signals is respectively analyzed by ATF and AZPTF based on MCSSD. The simulation results show the variances between the original signals and the filtered signals yielded by AZPTF based on MCSSD are 13.67 and 41.14, which are far less than variances (323.45 and 482.86) between the original signals and the filtered signals obtained by ATF based on MCSSD. The experiment results on the vibration signals of gearboxes indicate that the vibration signals of the two speed-changing gearboxes installed on one foundation bed can be separated by AZPTF effectively. Based on the demodulation information of the vibration signal of each gearbox, the fault diagnosis can be implemented. Both simulation and experiment examples prove that the proposed filter can extract a mono-component time-varying AM-FM signal from the multi-component time-varying AM-FM signal without distortion.
