Deployable antennas, as the core content of national defense technology research at this stage, havethe advantages of large flexibility and light weight in practical applications, so this type of antenna canalso be called a rigid-flexible hybrid structure. According to the theoretical analysis of the dynamics of flexible multi-body systems, it can be seen that effective control of unfolding antennas is a basicrequirement for practical applications. Due to the instability of the specific numerical solution of thestatic Lagrangian function, it is difficult to completely meet the constraint equation, which is alsothemain factor affecting the steady development of flexible multibody dynamics. Therefore, in-depthdiscussion of the numerical calculation method of the static Lagrangian function, obtaining efficient and stable numerical methods from it, and providing effective information for the process control of the deployment of the antenna, is the focus of scientific research scholars at this stage. Based ontheunderstanding of the flexible multi-body dynamics modeling method, this paper systematicallyanalyzes the calculation method of the differential equations, and combines the direct modificationmethod of the constraint violation of the augmentation method to propose the simulation calculationof the model. The final results prove that the dynamics of flexible multi-body systems have a positiveeffect on the application analysis of deployable antennas
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