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The transfer relationship between two ends of the bar was studied by using an auxiliary system with one end fixed and the other free. This transfer matrix method was the transfer matrix method of the auxiliary system. The method has high accuracy and was easy to calculate. In this paper, the vibration transfer matrix of spatial linear beam was derived based on discrete model and transfer matrix method of auxiliary system. Taking a span simply supported beam bridge as an example, the program was applied to calculate the natural vibration frequency and mode of spatial linear bridge. It demonstrates that this method was effective.

Solving vibration characteristics of the space straight bridge based on the auxiliary system transfer matrix method