为提高具有内埋质量升力面的颤振速度，将其简化为带集中质量的矩形悬臂板。基于假设模态法和一阶活塞理论得到颤振模型，进而考察其颤振特性。首先，基于Kirchhoff薄板理论建立矩形悬臂板的结构动力学模型，并利用假设模态法得到带内埋质量时的模态属性。其次，引入一阶活塞理论近似求解在超声速条件下的模态气动力，代入结构动力学模型得到颤振方程的时域表达。最后，通过引入指数形式的模态位移将颤振方程变换至频域并通过 p - k法求解颤振速度和颤振频率。通过改变内埋件的位置、质量和数目等参数，得到其对超声速悬臂板颤振特性的影响规律。研究结果表明，在悬臂板前缘靠近翼梢区域内埋小质量物体可有效提高升力面的颤振速度，而在翼根附近，颤振速度对内埋质量的变化不敏感。

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 rectangular 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-order piston theory was introduced to approximate the modal aerodynamic force under supersonic conditions，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 frequencies 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 was obtained.The results show that the flutter velocity of the lifting surface can be effectively increased 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.