Complex modal pseudo-excitation method for gust responses of wing structures

An accurate and efficient approach, which combines complex modal analysis with pseudo-excitation method, is proposed in this work to obtain the gust responses of wing structures. First, the motion equations of gust responses of a wing structure can be decoupled by the complex modal analysis. Then, pseudo-excitation method is used to transform random vibration problem into deterministic harmonic response analysis. The method can not only give the displacement response´s PSD (power spectral density), but also the PSD of velocity response and the cross-PSD. A new integration formula which can give the statistical characteristics of responses at the fixed time point and can choose integration points in frequency domain to adapt more efficient integration scheme when solving the random responses of non-stationary random excitations is present. An example from aeronautical engineering demonstrates the high precision and efficiency of the method.