基于增广矩阵的机车垂向随机响应分析

为建立机车各部件的垂向动力学微分方程，计算各悬挂力的输出响应，建立了系统质量、阻尼和刚度的增广矩阵．为避免在计算系统输出谱密度时计及各个输入的互谱密度，利用机车中各轮对处输入激励之间存在着确定时延的关系，将6个轮对处的多输入激励换算成单输入激励，使系统成为单输入多输出线性系统．根据线性系统的叠加原理，通过频率响应矩阵的谱分析，得到转换后的单输入、多输出系统的频率响应函数．假设输入函数为各态历经的平稳随机过程，得出各输出响应的谱密度与频率的关系．

Vertical Random Response Analysis of Locomotives Based on Augmented Matrix

Augmented mass, damping, stiffness differential equations for locomotive components matrix of system was set up to derive vertical dynamic and obtain output responses of suspensions. To avoid cross-spectrum density of each input when calculating spectrum density of system output, multi-input excitation in six wheelset were converted to single-input excitations by making use of the time-delay between the input excitations in wheelsets, making the system a linear system with single-input-multioutput. Frequency response functions of the converted system were obtained according to superposition principle of linear systems and spectrum analysis of frequency response matrix. The relations between spectrum densities of system output responses and frequency were obtained by assuming input functions to be ergodic and stable stochastic processes.