多点简谐振动响应控制下的频响矩阵测试

FRF Matrix Measurement During Multiple Sinusoidal Vibration Response Controlling

应用频响矩阵建立了多维振动系统输入输出之间的数学模型。探讨了一种多点简谐振动响应受到控制时的频响矩阵测试方法;分析试验中系统的实际响应和预先设定的响应参考值之间的误差,通过多次采集响应信号和激励力信号建立响应矩阵和力矩阵,根据振动运动方程求极小范数解来作为对频响矩阵的估计;给出简谐振动响应控制的算法流程,并用实测的响应信号对频响矩阵精度进行评价。试验研究表明该方法的有效性,而且响应的幅值和相位控制均满足试验的要求。

Frequency Response Function （FRF） matrix is used as a mathematical model between inputs and outputs in the multidimensional vibration system. A method is presented for FRF matrix measurement when multiple sinusoidal vibration response is controlled. The error is analyzed between the system real-time outputs and the reference outputs which are set ahead of testing. By sampling the response and force signal more times, the response matrix and force matrix are established. Using the equations of vibration motions, the least norm solution is solved as FRF matrix estimation. A sinusoidal vibration control algorithm is also presented, and a criterion using the real-time response signals is set forth to check the precision of FRF matrix measurement. Example testing shows the effects of FRF matrix measurement method and the control results of response magnitude and phase are all satisfied.