悬臂梁的强稳定性质

Strong Stabilty of a Elastic Beam with Hanging Arm

本文研究了悬臂梁自由振动系统，用Ｈｉｌｂｅｒｔ空间中线性算子半群理论证明了该系统的解存在且唯一，并得出了系统的稳定性结论．

The free vibration system of elastic beam with hanging arm is discussed .Applying the theory of semigroup of linear operators in Hilbert space ,the existence and uniqueness of solutions of the system are proved ,and the strong stability of the system is obtained.