Flutter characteristics of supersonic cantilever plate with embedded mass
In order to improve the flutter velocity of a lifting surface with embedded mass,the lifting surface was simplified as a rectangular cantilever plate with concentrated mass.Based on the assumed mode method and the first-order piston theory,a flutter model was obtained,and flutter characteristics of the rectangular cantilever plate were investigated.Firstly,the structural dynamic model of the rectan-gular cantilever plate was established based on the Kirchhoff thin plate theory,and the modal properties of the plate with embedded mass were obtained using the assumed mode method;secondly,the first-or-der piston theory was introduced to approximate the modal aerodynamic force under supersonic condi-tions,and the time-domain expression of the flutter equation was obtained by substituting it into the structural dynamics model;finally,the flutter equation was transformed into the frequency domain by introducing the modal displacement in exponential form,and the flutter velocities and flutter frequen-cies were solved by the p-k method.By changing the position,mass,number,and other parameters of embedded objects,the law of their influence on the flutter characteristics of the supersonic cantilever plate were obtained.The results show that the flutter velocity of the lifting surface can be effectively in-creased by embedding small mass objects near the leading edge of the cantilever plate near the wing tip,and the flutter velocity is insensitive to the change of the embedded mass near the wing root.
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