Aircraft engines usually adopt a split structure of the aircraft accessory chassis and the engine accessory chassis,which are connected by a flexible drive shaft.The modal design of the flexible transmission shaft is an important part of the design.Obtaining the modal of the flexible transmission shaft through simulation analysis and carrying out the experimental iteration model can accelerate the design process.The finite element method is used to simulate the flexible trans-mission shaft with diaphragm,and the natural frequency and vibration mode under fixed support are calculated.Based on the theory of modal parameter identification,Poly-Max method is used to estimate and identify the modal parameters of the transfer function of the flexible transmission shaft,so as to avoid the measurement error caused by the high damping structure in the traditional modal identification.The results show that the first and second order natural frequencies of the flexible transmission shaft identified by the experiment differ by about 2%from the vibration modes and simulation results.Considering the machining tolerance of the diaphragm,the simula-tion results are consistent with the test results,and the obtained results can provide reference for the subsequent design of the diaphragm flexible transmission shaft.