Aiming at the bracket used in small-caliber automatic guns, the gun barrel and bracket are simplified into multi-segment finite element elastic beam units in space, and the shape function matrix is introduced to describe the deflection of the beam unit. The finite element dynamic model considering the coupling between the bracket and the barrel is established using the Lagrange equation. Based on the finite element model, a numerical calculation program is established and the working principle of the bracket is analyzed and discussed using the model. The analysis results show that the use of a properly designed bracket will help improve the shooting accuracy of small-caliber automatic guns. Keywords: anti-aircraft gun; dynamics; finite element; bracket; numerical simulation
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