This study proposes a continuous convolution method combined with memoryless nonlinear transformation for multi-input multi-output stationary non-Gaussian random vibration tests. The challenge of the multi-shaker non-Gaussian random vibration test lies in the coupling problems that are manifested in the inherent physical system and in the existence of cross-spectral densities. In the presented method, the independent stationary Gaussian random signals pass through a designed finite impulse response filter with a convolution manipulation first, and then the resulting signals are transformed to the non-Gaussian random signals by the memoryless nonlinear transformation method. The desired drive signals are obtained by the input–output relationship in the frequency domain. The finite impulse response filter is constructed by the frequency sampling technique in which the amplitude characteristics of the filter are determined by the predefined reference power spectral densities. A new monotonic nonlinear transformation function with an approximate kurtosis solution is provided. It only contains one parameter for kurtosis control both in sub-Gaussian and super-Gaussian cases. The memoryless nonlinear transformation is used to maintain the cross-spectral densities, although some distortions are introduced to the power spectra during the transformation process. The inverse system method is used to overcome the coupling problem caused by the inherent physical system. A simulation example and a triaxial vibration test are carried out, and the results indicate the validity and feasibility of the proposed method.

这项研究提出了一种连续卷积方法与无记忆非线性变换相结合的多输入多输出平稳非高斯随机振动测试。多摇床非高斯随机振动测试的挑战在于耦合问题，这些问题表现在固有的物理系统和互谱密度的存在中。在所提出的方法中，独立的平稳高斯随机信号首先通过设计的具有卷积操作的有限脉冲响应滤波器，然后通过无记忆非线性变换方法将结果信号转换为非高斯随机信号。通过频域中的输入-输出关系获得所需的驱动信号。有限脉冲响应滤波器是通过频率采样技术构建的，其中，滤波器的幅度特性由预定义的参考功率谱密度确定。提供了具有近似峰度解的新的单调非线性变换函数。在亚高斯和超高斯情况下，它仅包含一个用于峰度控制的参数。尽管在转换过程中将某些失真引入到功率谱中，但是无记忆的非线性变换用于维持互谱密度。逆系统方法用于克服固有物理系统引起的耦合问题。进行了仿真实例和三轴振动试验，结果表明了该方法的有效性和可行性。