This article proposes an improved FRAM method based on the traditional FRAM method, using the study of aircraft take-off quality as an example to illustrate the operation method of the improved FRAM. To address the impact of pilot operations on take-off instructions during aircraft take-off, a functional network model was constructed based on the improved FRAM (functional resonance analysis method) method for the take-off and roll stages of the aircraft. On the basis of the aircraft take-off taxiing model, a simulation was used to sample the take-off data from the pilot many times under different conditions, and the data were put into the safety envelope for comparative analysis to find functional modules with abnormal changes. Using the functional network model, the resonance relationship between the abnormal module and other related functional modules was determined. According to the resonance relationship, setting up a safety barrier can reduce the risk of accidents. Finally, the safety barrier was substituted back into the improved FRAM method to verify the effectiveness of the safety barrier. Compared with the traditional FRAM method, the improved FRAM method can make full use of historical data, loop iteration, repeated verification, and continuous improvement until the final result reaches the user’s expected goal. The improved FRAM method reduces the dependence on expert evaluation and experience, so its conclusions have higher objectivity and reference value.

With the continuous development of general aviation, the contradiction between the air demand of general aviation low-altitude airspace and civil aviation routes is sharp. The difficulty of airspace planning is complex and changeable, and the existing working mode of simply using computer mapping and manually finding airspace conflict contradictions can no longer meet the large-scale air use demand. In response to the existing spatial representation model of longitude and latitude grid, which has large grid deformation in high latitude areas, and the problem of slow computation speed of the conflict detection (CD) algorithm that determines whether the airspace boundary coordinates overlap, we propose a grid model that represents airspace with a spherical rhombic discrete grid of positive icosahedron and design a matrix-based digital representation method of airspace, which uses matrix product operation. The matrix product operation is used to quickly determine whether there is a conflict between airspace and airspace and between airspace and routes.